Publications
Journal publications (refereed):
Belinger J, Šprlák M, Pitoňák M, Trnka P, Novák P (2024) Implementation and Testing of Software Library for Calculation of the Far-Zone Effects for Spherical Integral Transformations. Geodetický a kartografický obzor, 70(6), pp. 101-109 (in Czech). [Not available]
Šprlák M, Pitoňák M (2024) Far-Zone Effects for Spherical Integral Transformations I: Formulas for the Radial Boundary Value Problem and Its Derivatives. Surveys in Geophysics, 45(3), pp. 977-1009, https://doi.org/10.1007/s10712-023-09818-4. [Active: External link, Backup: Private personal link]
Šprlák M, Pitoňák M (2024) Far-Zone Effects for Spherical Integral Transformations II: Formulas for Horizontal Boundary Value Problems and Their Derivatives. Surveys in Geophysics, https://doi.org/10.1007/s10712-024-09842-y. [Not available]
Pitoňák M, Šprlák M, Ophaug V, Omang OCD, Novák P (2023) Validation of Space-Wise GOCE Gravitational Gradient Grids Using the Spectral Combination Method and GNSS/Levelling Data. Surveys in Geophysics, 44(3), pp. 739-782, https://doi.org/10.1007/s10712-022-09762-9. [Active: External link, Backup: Private personal link]
Šprlák M (2023) Comments and corrections to: "Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives" by Bölling and Grafarend (2005) in J.Geod. 79(6-7):300-330. Journal of Geodesy, 97(11), 101, https://doi.org/10.1007/s00190-023-01799-x . [Active: External link, Backup: Private personal link]
Novák P, Šprlák M, Pitoňák M (2021) On Determination of the Geoid from Measured Gradients of the Earth's Gravity Field Potential. Earth-Science Reviews, 221, 103773, https://doi.org/10.1016/j.earscirev.2021.103773. [Active: External link, Backup: Private personal link]
Šprlák M, Han S-C (2021) On the Use of Spherical Harmonic Series Inside the Minimum Brillouin Sphere: Theoretical Review and Evaluation by GRAIL and LOLA Satellite Data. Earth-Science Reviews, 222, 103739, https://doi.org/10.1016/j.earscirev.2021.103739. [Active: External link]
Tangdamrongsub N, Šprlák M (2021) The Assessment of Hydrologic- and Flood-Induced Land Deformation in Data-Sparse Regions Using GRACE/GRACE-FO Data Assimilation. Remote Sensing, 13(2), 235, https://doi.org/10.3390/rs13020235. [Active: External link, Backup: Private personal link]
Pitoňák M, Novák P, Eshagh M, Tenzer R, Šprlák M (2020) Downward Continuation of Gravitational Field Quantities to an Irregular Surface by Spectral Weighting. Journal of Geodesy, 94(7), 62, https://doi.org/10.1007/s00190-020-01384-6. [Active: External link, Backup: Private personal link]
Šprlák M, Han S-C, Featherstone W (2020) Crustal Density and Global Gravitational Field Estimation of the Moon from GRAIL and LOLA Satellite Data. Planetary and Space Science, 192, 105032, https://doi.org/10.1016/j.pss.2020.105032. [Active: External link, Backup: Private personal link]
Šprlák M, Han S-C, Featherstone W (2020) Integral Inversion of GRAIL Inter-Satellite Gravitational Accelerations for Regional Recovery of the Lunar Gravitational Field. Advances in Space Research, 65(1), pp. 630-649, https://doi.org/10.1016/j.asr.2019.10.015. [Active: External link, Backup: Private personal link]
Šprlák M, Han S-C, Featherstone W (2020) Spheroidal Forward Modelling of the Gravitational Fields of 1 Ceres and the Moon. Icarus, 335, 113412, https://doi.org/10.1016/j.icarus.2019.113412. [Active: External link, Backup: Private personal link]
Yin W, Li T, Zheng W, Hu L, Han S-C, Tangdamrongsub N, Šprlák M, Huang Z (2020) Improving Regional Groundwater Storage Estimates from GRACE and Global Hydrological Models over Tasmania, Australia. Hydrogeology Journal, 28(5), pp. 1809-1825, https://doi.org/10.1007/s10040-020-02157-3. [Active: External link, Backup: Private personal link]
Ghobadi-Far K, Šprlák M, Han S-C (2019) Determination of Ellipsoidal Surface Mass Change from GRACE Time-Variable Gravity Data. Geophysical Journal International, 219(1), pp. 248-259, https://doi.org/10.1093/gji/ggz292. [Active: External link, Backup: Private personal link]
Novák P, Pitoňák M, Šprlák M, Tenzer R (2019) Higher-Order Gravitational Potential Gradients for Geoscientific Applications. Earth-Science Reviews, 198, 102937, https://doi.org/10.1016/j.earscirev.2019.102937. [Active: External link, Backup: Private personal link]
Tangdamrongsub N, Han S-C, Jasinski MF, Šprlák M (2019) Quantifying Water Storage Change and Land Subsidence Induced by Reservoir Impoundment Using GRACE, Landsat, and GPS Data. Remote Sensing of Environment, 233, 111385, https://doi.org/10.1016/j.rse.2019.111385. [Active: External link, Backup: Private personal link]
Novák P, Šprlák M (2018) Spheroidal Integral Equations for Geodetic Inversion of Geopotential Gradients. Surveys in Geophysics, 39(2), pp. 245-270, https://doi.org/10.1007/s10712-017-9450-2. [Active: External link, Backup: Private personal link]
Pitoňák M, Eshagh M, Šprlák M, Tenzer R, Novák P (2018) Spectral Combination of Spherical Gravitational Curvature Boundary-Value Problems. Geophysical Journal International, 214(2), pp. 773-791, https://doi.org/10.1093/gji/ggy147. [Active: External link, Backup: Private personal link]
Šprlák M, Han S-C, Featherstone W (2018) Forward Modelling of Global Gravity Fields with 3D Density Structures and an Application to the High-Resolution (~2 km) Gravity Fields of the Moon. Journal of Geodesy, 92(8), pp. 847-862, https://doi.org/10.1007/s00190-017-1098-7. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P (2018) Correction to: Spherical Gravitational Curvature Boundary-Value Problem. Journal of Geodesy, 92(5), p. 573, https://doi.org/10.1007/s00190-018-1137-z. [Active: External link, Backup: Private personal link]
Šprlák M, Tangdamrongsub N (2018) Vertical and Horizontal Spheroidal Boundary-Value Problems. Journal of Geodesy, 92(7), pp. 811-826, https://doi.org/10.1007/s00190-017-1096-9. [Active: External link, Backup: Private personal link]
Pitoňák M, Šprlák M, Novák P, Tenzer R (2017) Regional Gravity Field Modelling from GOCE Observables. Advances in Space Research, 59(1), pp. 114-127, http://doi.org/10.1016/j.asr.2016.09.024. [Active: External link, Backup: Private personal link]
Pitoňák M, Šprlák M, Tenzer R (2017) Possibilities of Inversion of Satellite Third-Order Gravitational Tensor onto Gravity Anomalies: a Case Study for Central Europe. Geophysical Journal International, 209(2), pp. 799-812, https://doi.org/10.1093/gji/ggx041. [Active: External link, Backup: Private personal link]
Novák P, Šprlák M, Tenzer R, Pitoňák M (2017) Integral Formulas for Transformation of Potential Field Parameters in Geosciences. Earth-Science Reviews, 164, pp. 208-231, http://doi.org/10.1016/j.earscirev.2016.10.007. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P (2017) Spherical Integral Transforms of Second-Order Gravitational Tensor Components onto Third-Order Gravitational Tensor Components. Journal of Geodesy, 91(2), pp. 167-194, https://doi.org/10.1007/s00190-016-0951-4. [Active: External link, Backup: Private personal link]
Tenzer R, Foroughi I, Pitoňák M, Šprlák M (2017) Effect of the Earth's Inner Structure on the Gravity in Definitions of Height Systems. Geophysical Journal International, 209(1), pp. 297-316, https://doi.org/10.1093/gji/ggx024. [Active: External link, Backup: Private personal link]
Eshagh M, Šprlák M (2016) On the Integral Inversion of Satellite-to-Satellite Velocity Differences for Local Gravity Field Recovery: A Theoretical Study. Celestial Mechanics and Dynamical Astronomy, 124(2), pp. 127-144, https://doi.org/10.1007/s10569-015-9654-z. [Active: External link, Backup: Private personal link]
Hamáčková E, Šprlák M, Pitoňák M, Novák P (2016) Non-Singular Expressions for the Spherical Harmonic Synthesis of Gravitational Curvatures in a Local North-Oriented Reference Frame. Computers & Geosciences, 88, pp. 152-162, https://doi.org/10.1016/j.cageo.2015.12.011. [Active: External link, Backup: Private personal link]
Pitoňák M, Šprlák M, Hamáčková E, Novák P (2016) Regional Recovery of the Disturbing Gravitational Potential by Inverting Satellite Gravitational Gradients. Geophysical Journal International, 205(1), pp. 89-98, https://doi.org/10.1093/gji/ggw008. [Active: External link, Backup: Private personal link]
Šprlák M, Eshagh M (2016) Local Recovery of Sub-Crustal Stress due to Mantle Convection from Satellite-to-Satellite Tracking Data. Acta Geophysica, 64(4), pp. 904-929, https://doi.org/10.1515/acgeo-2016-0044. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P (2016) Spherical Gravitational Curvature Boundary-Value Problem. Journal of Geodesy, 90(8), pp. 727-739, https://doi.org/10.1007/s00190-016-0905-x. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P, Pitoňák M (2016) Spherical Harmonic Analysis of Gravitational Curvatures and Its Implications for Future Satellite Missions. Surveys in Geophysics, 37(3), pp. 681-700, https://doi.org/10.1007/s10712-016-9368-0. [Active: External link, Backup: Private personal link]
Tenzer R, Hirt C, Novák P, Pitoňák M, Šprlák M (2016) Contribution of Mass Density Heterogeneities to the Quasigeoid-to-Geoid Separation. Journal of Geodesy, 90(1), pp. 65-80, https://doi.org/10.1007/s00190-015-0858-5. [Active: External link, Backup: Private personal link]
Šprlák M, Gerlach C, Pettersen BR (2015) Validation of GOCE Global Gravitational Field Models in Norway. Newton's Bulletin, 5, pp. 13-24. [Active: Public personal link]
Šprlák M, Hamáčková E, Novák P (2015) Alternative Validation Method of Satellite Gradiometric Data by Integral Transform of Satellite Altimetry Data. Journal of Geodesy, 89(8), pp. 757-773, https://doi.org/10.1007/s00190-015-0813-5. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P (2015) Integral Formulas for Computing a Third-Order Gravitational Tensor from Volumetric Mass Density, Disturbing Gravitational Potential, Gravity Anomaly and Gravity Disturbance. Journal of Geodesy, 89(2), pp. 141-157, https://doi.org/10.1007/s00190-014-0767-z. [Active: External link, Backup: Private personal link]
Sebera J, Šprlák M, Novák P, Bezděk A, Vaľko M (2014) Iterative Spherical Downward Continuation Applied to Magnetic and Gravitational Data from Satellite. Surveys in Geophysics, 35(4), pp. 941-958, https://doi.org/10.1007/s10712-014-9285-z. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P (2014) Integral Transformations of Deflections of the Vertical onto Satellite-to-Satellite Tracking and Gradiometric Data. Journal of Geodesy, 88(7), pp. 643-657, https://doi.org/10.1007/s00190-014-0711-2. [Active: External link, Backup: Private personal link]
Šprlák M, Novák P (2014) Integral Transformations of Gradiometric Data onto GRACE Type of Observable. Journal of Geodesy, 88(4), pp. 377-390, https://doi.org/10.1007/s00190-013-0689-1. [Active: External link, Backup: Private personal link]
Šprlák M, Sebera J, Vaľko M, Novák P (2014) Spherical Integral Formulas for Upward/Downward Continuation of Gravitational Gradients onto Gravitational Gradients. Journal of Geodesy, 88(2), pp. 179-197, https://doi.org/10.1007/s00190-013-0676-6. [Active: External link, Backup: Private personal link]
Gerlach C, Šprlák M, Bentel K, Pettersen BR (2013) Observation, Validation, Modeling - Historical Lines and Recent Results in Norwegian Gravity Field Research. Kart og Plan, 73, pp. 128-151. [Active: Public personal link]
Šprlák M (2012) A Graphical User Interface Application for Evaluation of the Gravitational Tensor Components Generated by a Level Ellipsoid of Revolution. Computers & Geosciences, 46, pp. 77-83, https://doi.org/10.1016/j.cageo.2012.04.013. [Active: External link, Backup: Private personal link]
Šprlák M, Gerlach C, Pettersen BR (2012) Validation of GOCE Global Gravity Field Models Using Terrestrial Gravity Data in Norway Journal of Geodetic Science, 2(2), pp. 134-143, https://doi.org/10.2478/v10156-011-0030-y. [Active: External link, Backup: Private personal link]
Šprlák M (2011) On the Numerical Problems of Spherical Harmonics: Numerical and Algebraic Methods Avoiding Instabilities of the Associated Legendre's Functions. Zeitschrift für Vermessungswesen, 136 (5), pp. 310-320. [Active: Public personal link]
Šprlák M, Fašková Z, Mikula K (2011) On the Application of the Coupled Finite-Infinite Element Method to Geodetic Boundary-Value Problem. Studia Geophysica et Geodaetica, 55(3), pp. 479-487, https://doi.org/10.1007/s11200-011-0028-z. [Active: Public personal link]
Šprlák M (2010) Fitting Quasigeoid Model Using Conventional and Moving Least Squares Methods. Geodetický a kartografický obzor, 56(12), pp. 246-255 (in Slovak). [Active: Public personal link]
Šprlák M (2010) Generalized Geoidal Estimators for Deterministic Modifications of Spherical Stokes's Function. Contributions to Geophysics and Geodesy, 40(1), pp. 45-64, https://doi.org/10.2478/v10126-010-0003-7. [Active: Public personal link]
Fašková Z, Mikula K, Čunderlík R, Janák J, Šprlák M (2007) Gravimetric Quasigeoid in Slovakia by the Finite Element Method. Kybernetika, 43(6), pp. 789-796. [Active: Public personal link]
Janák J, Šprlák M (2006) New Software for Gravity Field Modelling Using Spherical Harmonics. Geodetický a kartografický obzor, 52(1), pp. 1-8 (in Slovak). [Active: Public personal link]
Journal publications (non-refereed):
Šprlák M (2020) IAG Guy Bomford Prize Lecture: Advancing the Theoretical Apparatus of Physical Geodesy. In: Poutanen M, Rózsa S (Eds.) The Geodesist's Handbook 2020. Journal of Geodesy, 94(11), pp. 48-50, https://doi.org/10.1007/s00190-020-01434-z. [Active: External link, Backup: Public personal link]
Šprlák M (2012) Validation of GOCE Satellite Gravity Gradiometry Products: Research Opportunities. Kart og Plan, 72, pp. 8-19. [Active: Public personal link]
Proceedings (refereed):
Belinger J, Pitoňák M, Novák P, Šprlák M (2024) Estimation of Global Root Mean Square Error of Geoid Height Calculated by Integral Transforms. In: Proceedings of the International Seminar - Satellite Methods in Theory and Practice, February 1, Brno, Czech Republic, pp. 29-37, http://dx.doi.org/10.13164/seminargnss.2024.29 (in Czech). [Active: Public personal link]
Pitoňák M, Šprlák M, Novák P (2023) Estimation of Height Anomalies from Gradients of the Gravitational Potential Using a Spectral Combination Method. In: International Association of Geodesy Symposia. Springer, Berlin, Heidelberg, https://doi.org/10.1007/1345_2023_194. [Active: External link, Backup: Private personal link]
Pitoňák M, Šprlák M, Novák P, Tenzer R (2020) Validation of GOCE-Based Gravitational Gradients Grids by Spectral Combination Method. In: Proceedings of the International Seminar - Satellite Methods in Geodesy and Cadastre, January 30, 2020, Technical University, Brno, Czech Republic, pp. 28-36. [Active: Private personal link]
Pitoňák M, Novák P, Šprlák M, Tenzer R (2019) On Combining the Directional Solutions of the Gravitational Curvature Boundary-Value Problem. In: Novák P, Crespi M, Sneeuw N, Sansò F (Eds.) IX Hotine-Marussi Symposium on Mathematical Geodesy, IAG Symposia, Vol. 151, Springer, Cham, Switzerland, pp. 41-47, https://doi.org/10.1007/1345_2019_68. [Active: External link]
Pitoňák M, Šprlák M, Novák P, Tenzer R (2019) Regional Gravitational Field Modelling From GOCE Measurements. In: Proceedings of the International Seminar - Satellite Methods in Geodesy and Cadastre, January 24, 2019, Technical University, Brno, Czech Republic, pp. 60-67 (in Slovak). [Active: Public personal link]
Šprlák M, Pettersen BR, Omang OCD, Lysaker DI, Sekowski M, Dykowski P (2015) Comparison of GOCE Global Gravity Field Models to Test Fields in Southern Norway. In: Marti U (Ed.) Gravity, Geoid and Height Systems, IAG Symposia, Vol. 141, Springer, Cham, Switzerland, pp. 59-65, https://doi.org/10.1007/978-3-319-10837-7_8. [Active: External link, Backup: Private personal link]
Braitenberg C, Mariani P, Ebbing J, Šprlák M (2011) The Enigmatic Chad Lineament Revisited with Global Gravity and Gravity Gradient Fields. In: van Hinsbergen DJJ, Buiter SJH, Torsvik TH, Gaina C, Webb SJ (Eds.) The Formation and Evolution of Africa: A Synopsis of 3.8 Ga of Earth History. Geological Society, Special Publications, vol. 357, London, UK, pp. 329-341, https://doi.org/10.1144/SP357.18. [Active: Public personal link]
Šprlák M (2010) Testing of the New Global Quasigeoid Model in Slovakia. In: Proceedings of the International Conference TATRY 2009, Tatranská Lomnica, Slovakia, pp. 103-111 (in Slovak). [Active: Public personal link]
Šprlák M (2008) Remainder of the Taylor Polynomial as a Modification of the Stokes Function. In: Juniorstav 2008, Technical University, Brno, Czech Republic, pp. 1-9 (in Slovak). [Active: Private personal link]
Mojzeš M, Janák J, Papčo J, Šprlák M, Vaľko M (2007) Determination of the Quasigeoid by Solving Neumann Boundary Value Problem. In: Gravity Field of the Earth: Proceedings of the 1st International Symposium of the International Gravity Field Service, Istanbul, Turkey, pp. 7-12. [Active: Private personal link]
Šprlák M (2007) Numerical Comparison of the Stokes Integral and the Finite Element Method Using Synthetic Gravity Field Model of the Earth. In: Juniorstav 2007, Technical University, Brno, Czech Republic, pp. 1-8 (in Slovak). [Active: Private personal link]
Šprlák M, Fašková Z, Mikula K (2006) Application of the Finite Element Method to the Mixed Geodetic Boundary Value Problem with Newton and Dirichlet Boundary Conditions. In: MAGIA - Mathematics, Geometry and Their Applications, Slovak University of Technology, Bratislava, Slovakia, pp. 23-32. [Active: Public personal link]
Proceedings (non-refereed):
Pettersen BR, Šprlák M, Gerlach C (2015) Validation of Global Gravitational Field Models in Norway. In: Ouwehand L (Ed.) Proceedings of the 5th International GOCE User Workshop, November 25-28, 2015, Paris, France, ESA SP-728, ESA Communications, ESTEC, Noordwijk, The Netherlands, 4 p. [Active: Public personal link]
Šprlák M, Gerlach C, Omang OCD, Pettersen BR (2011) Comparison of GOCE Derived Satellite Global Gravity Models with EGM2008, the OCTAS Geoid and Terrestrial Gravity Data: Case Study for Norway. In: Proceedings of the 4th International GOCE User Workshop, March 31 - April 1, TUM, Munich, Germany, SP-696, ESA Communications, ESTEC, Noordwijk, The Netherlands. [Active: Public personal link]
Šprlák M, Pettersen BR, Gerlach C (2011) Nova-GOCE: Norwegian Validation and Exploitation of GOCE data. Proceedings of the Nordic Geodetic Commission General Assembly, September 27-30, Hønefoss, Norway. [Active: Public personal link]
Šprlák M, Javorníková A, Deák P (2009) GIS4EU Project and the Implementation of the INSPIRE Directive. In: Enviro-i-Fórum 2009, International Conference on Environmental Informatics, Technical University, Zvolen, Slovakia, pp. 57-60 (in Slovak). [Active: Private personal link]
Janák J, Mojzeš M, Šprlák M, Fašková Z (2008) European Satellite Mission GOCE – New Possibilities for the Recovery of the Earth’s Gravity Field. In: International Scientific Symposium 70th Anniversary of the Faculty of Civil Engineering, Bratislava, Slovakia, pp. 55-62 (in Slovak). [Active: Public personal link]
Janák J, Mikula K, Šprlák M (2007) Downward Continuation of Satellite Gradiometry Data. In: 3rd International GOCE User Workshop, November 6 - 8, Frascati, Italy, European Space Agency, ESA SP-627, pp. 109-113. [Active: Public personal link]
Mojzeš M, Čunderlík R, Janák J, Papčo J, Šprlák M, Vaľko M (2006) Comparison of Quasigeoid Models in Slovakia. In: GPS + GLONASS + GALILEO: New Horizons of Geodesy, November 8, Slovak University of Technology, Bratislava, Slovakia, pp. 59-68 (in Slovak). [Active: Public personal link]
Mojzeš M, Ferko J, Šprlák M, Vaľko M (2006) World Height System and its Realization. In: GPS + GLONASS + GALILEO: New Horizons of Geodesy, November 8, Slovak University of Technology, Bratislava, Slovakia, pp. 143-149 (in Slovak). [Active: Public personal link]
Monograph:
Šprlák M (2010) Numerical Testing of Procedures for the Determination of the Quasigeoid. Publishing House of the Slovak University of Technology, Bratislava, Slovakia (in Slovak). [Active: Public personal link]
Chapters:
Šprlák M (2022) Gravitational Curvature Boundary Value Problem. In: Sideris MG (Ed.) Encyclopedia of Geodesy, Encyclopedia of Earth Sciences Series, Springer, Cham, Switzerland, https://doi.org/10.1007/978-3-319-02370-0_161-1. [Not available]
Šprlák M, Tangdamrongsub N (2022) Vertical and Horizontal Boundary-Value Problems on a Spheroidal Boundary. In: Sideris MG (Ed.) Encyclopedia of Geodesy, Encyclopedia of Earth Sciences Series, Springer, Cham, Switzerland, https://doi.org/10.1007/978-3-319-02370-0_167-1. [Not available]
Theses:
Šprlák M (2008) Numerical Testing of Procedures for the Determination of the Quasigeoid. Doctoral Thesis, Department of Theoretical Geodesy, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2007) Testing of Algorithms for Evaluation of the Stokes Integral and Its Kernel Modifications. Licenciating Thesis, Department of Theoretical Geodesy, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2005) Modelling of the Earth’s Gravity Field. Department of Theoretical Geodesy, Master Thesis, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2003) Application of Spherical Harmonics in Geodesy. Department of Theoretical Geodesy, Bachelor Thesis, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Not available]
Reports:
Šprlák M (2020) JSG T.23: Spherical and spheroidal integral formulas of the potential theory for transforming classical and new gravitational observables. In: Poutanen M, Rózsa S (Eds.) The Geodesist's Handbook 2020. Journal of Geodesy, 94(11), pp. 161-162, https://doi.org/10.1007/s00190-020-01434-z. [Active: External link, Backup: Public personal link]
Šprlák M (2019) Joint Study Group 0.13: Integral equations of potential theory for continuation and transformation of classical and new gravitational observables. In: Drewes H, Kuglitsch F (Eds.) IAG Reports 2015-2019 (Travaux de l'AIG Vol. 41), Inter-Commission Committee on Theory (ICCT), pp. 24-33. [Active: External link, Backup: Public personal link]
Šprlák M (2017) Joint Study Group 0.13: Integral equations of potential theory for continuation and transformation of classical and new gravitational observables. In: Drewes H, Kuglitsch F (Eds.) IAG Reports 2015-2017 (Travaux de l'AIG Vol. 40), Inter-Commission Committee on Theory (ICCT), pp. 20-23. [Active: External link, Backup: Public personal link]
Pitoňák M, Šprlák M, Novák P (2016) Methodology for Vertical Connection of the ZGS, CZEPOS and ECGN Networks. Faculty of Applied Sciences, University of West Bohemia, Plzeň, Czech Republic, Certification: State Administration of Land Surveying, No. ČÚZK-00839/2016-22, January 11 2016 (in Czech). [Active: Private personal link]
Šprlák M (2016) JSG 0.13: Integral equations of potential theory for continuation and transformation of classical and new gravitational observables. In: Drewes H, Kuglitsch F, Ádám J, Rózsa S (Eds.) The Geodesist's Handbook 2016. Journal of Geodesy, 90(10), pp. 1064-1065, https://doi.org/10.1007/s00190-016-0948-z. [Active: External link, Backup: Public personal link]
Novák P, Sebera J, Vaľko M, Šprlák M, Martinec Z, Sneeuw N, Roth M, Vermerseen B, van der Wal W, Baur O, Tsoulis D (2013) Towards a Better Understanding of the Earth's Interior and Geophysical Exploration Research. Final Report: AO/1-6367/10/NL/AF STSE - GOCE+, 233 p. [Active: External link, Backup: Private personal link]
Breili K, Kierulf HP, Kristiansen O, Omang OCD, Solheim D, Ebbing J, Pettersen BR, Šprlák M, Gerlach C, Bentel K, Johannessen JA (2012) Use of Gravimetry and Altimetry to Monitor CO2 Storage and in Oil and Gas Exploration: Status of a Feasibility Study. NERSC, Bergen, Norway, 48 p. [Active: Private personal link]
Posters:
Belinger J, Pitoňák M, Trnka P, Novák P, Šprlák M (2024) Estimation of the Global Root Mean Square Error of Selected Gravitational Field Functionals Calculated by Integral Transforms. Poster presented at the European Geosciences Union General Assembly, April 14-19, Vienna, Austria. [Not available]
Macák M, Šprlák M, Minarechová Z (2024) Modelling Gravity Field of Irregularly Shaped Bodies by Numerical Methods. Poster presented at the European Geosciences Union General Assembly, April 14-19, Vienna, Austria. [Not available]
Pitoňák M, Trnka P, Belinger J, Novák P, Šprlák M, (2024) FarZone4IT: A New Software for the Calculation of Far-Zone Effects for Spherical Integral. Poster presented at the European Geosciences Union General Assembly, April 14-19, Vienna, Austria. [Not available]
Novák P, Šprlák M, Pitoňák M (2023) On Uncertainties Associated with Integral Transformations of Gravity Gradients. Poster presented at the AGU Fall Meeting, December 11-15, San Francisco, USA. [Not available]
Pitoňák M, Šprlák M, Novák P (2023) A Theoretical Study on Local Gravitational Field Modelling by the Spectral Combination of Satellite Higher-Order Radial Derivatives and a GGM. 28th IUGG General Assembly, July 11-20, Berlin, Germany. [Not available]
Trnka P, Belinger J, Šprlák M, Pitoňák M, Novák P (2023) A New Software Library for Calculation of the Far Zone Effects for Spherical Integral Transformations. 28th IUGG General Assembly, July 11-20, Berlin, Germany. [Not available]
Šprlák M, Ghobadi-Far K, Han S-C, Pitoňák M, Novák P (2023) GRACE/GRACE-FO Surface Mass Modelling by Spherical and Ellipsoidal Harmonics. MAGIC Science and Applications Workshop, November 2-3, Assisi, Italy. [Active: Public personal link]
Pitoňák M, Šprlák M, Ophaug V, Omang OCD, Novák P (2022) Validation of the Official GOCE Level 2 Product GRD SPW 2 Using the Spectral Combination Method and GNSS/Levelling Data over Czechia/Slovakia and Norway. Poster presented at the Gravity, Geoid and Height Systems 2022, 3rd Joint Commission 2 & IGFS Symposium, September 12-14, Austin, Texas, USA. [Active: Public personal link]
Pitoňák M, Tenzer R, Šprlák M, Novák P (2022) Do Formal Errors of Global Gravitational Models of Telluric Planets and Moon Have a Normal Distribution? COSPAR 2022 - 44th Scientific Assembly, July 16-24, Athens, Greece. [Active: Public personal link]
Novák P, Šprlák M, Pitoňák M (2021) On Determination of the Geoid from Measured Gradients of the Earth's Gravity Field Potential. IAG 2021 - Scientific Assembly of the International Association of Geodesy, June 28 - July 2, Beijing, China. [Active: Private personal link]
Pitoňák M, Šprlák M, Ophaug V, Omang OCD, Novák P (2021) A Quality Assessment of the Official GOCE Level 2 GRD SPW 2 Products Over Norway, Czechia, and Slovakia. IAG 2021 - Scientific Assembly of the International Association of Geodesy, June 28 - July 2, Beijing, China. [Active: Private personal link]
Pitoňák M, Varga M, Šprlák M (2021) The Omission Error Modelling of Global Gravity Field Models Using Different Digital Terrain Models. IAG 2021 - Scientific Assembly of the International Association of Geodesy, June 28 - July 2, Beijing, China. [Active: Private personal link]
Novák P, Pitoňák M, Šprlák M, Tenzer R (2019) Higher-Order Gradients of the Gravitational Potential: Theory and Applications. Poster presented at the AGU Fall Meeting, December 9-13, San Francisco, USA. [Active: Public personal link]
Ghobadi-Far K, Šprlák M, Han S-C (2019) Conversion of GRACE Time-Variable Gravity Data into Surface Mass Change on the Ellipsoid. GRACE Follow-On Science Team Meeting, October 8-10, Pasadena, California, USA. [Active: Public personal link]
Ghobadi-Far K, Šprlák M, Han S-C (2019) Comparison of Spherical and Ellipsoidal Cryospheric Mass Change Estimated from GRACE Time-Variable Gravity Data. Global Isostatic Adjustment Training School, August 26-30, Gävle, Sweden. [Active: Public personal link]
Pitoňák M, Šprlák M, Novák P, Tenzer R (2019) Validation of GOCE-based Gravitational Gradients Grids by Terrestrial Gravity Disturbances over the Area of Czech Republic and Slovakia Using a Spectral Combination Method. Poster presented at the ESA Living Planet Symposium, May 13-17, Milan, Italy. [Active: Private personal link]
Novák P, Šprlák M (2019) Spheroidal Integral Equations for Recovery of the Geopotential from its Gradients Measured by Ground, Airborne and Satellite Sensors. Poster presented at the European Geosciences Union General Assembly, April 7-12, Vienna, Austria. [Not available]
Novák P, Pitoňák M, Tenzer R, Šprlák M (2018) Local Gravitational Field Modelling through Spectral Combination of Satellite Higher-Order Radial Derivatives of the Disturbing Gravitational Potential and a Global Gravitational Model. Poster presented at the AGU Fall Meeting, December 10-14, Washington, D.C., USA. [Not available]
Tangdamrongsub N, Han S-C, Jasinski MF, Šprlák M (2018) The Estimation of Water Storage Change and Land Subsidence Induced by the Bakun Dam, Malaysia, Using GRACE, Landsat, and GPS Data. Poster presented at the AGU Fall Meeting, December 10-14, Washington, D.C., USA. [Not available]
Pitoňák M, Novák P, Šprlák M, Eshagh M (2018) Local Spectral Downward Continuation of the First-, Second- and Third-Order Radial Derivatives of the Gravitational Potential onto Gravity Disturbances on the Earth Surface. Poster presented at the International Association of Geodesy Symposium: Gravity, Geoid and Height Systems, September 17-21, Copenhagen, Denmark. [Not available]
Pitoňák M, Eshagh M, Novák P, Šprlák M, Tenzer R (2018) Recovery of the Gravitational Potential at the Earth's Surface by Spectral Combination of First-, Second- and Third-Order Radial Derivatives of the Gravitational Potential Measured by Satellite Sensors. Poster presented at the European Geosciences Union General Assembly, April 8-13, Vienna, Austria. [Not available]
Novák P, Pitoňák M, Šprlák M, Tenzer R (2018) Gravitoscopy of Earth's Mass Density Distribution Based on Higher-Order Gradients of the Gravitational Potential. Poster presented at the European Geosciences Union General Assembly, April 8-13, Vienna, Austria. [Not available]
Šprlák M, Han S-C, Featherstone W (2018) Is the Spheroidal Approximation of the Moon Important for High-Resolution Global Gravitational Field Modelling? Poster presented at the COSPAR 42nd Assembly, July 14-22, Pasadena, USA, https://doi.org/10.13140/RG.2.2.16827.36643. [Active: Public personal link]
Šprlák M, Han S-C, Featherstone W, Pitoňák M (2018) Regional Lunar Gravitational Field Modelling from GRAIL Line-of-Sight Gravitation Observables. Poster presented at the IX Hotine-Marussi Symposium, June 18-22, Rome, Italy. [Active: Public personal link]
Šprlák M, Han S-C, Featherstone W (2018) Regional Recovery of the Lunar Gravitational Field by Inverting GRAIL Line-of-Sight Gravitation Observables. Poster presented at the COSPAR 42nd Assembly, July 14-22, Pasadena, USA, https://doi.org/10.13140/RG.2.2.22331.16161. [Active: Public personal link]
Pitoňák M, Eshagh M, Šprlák M, Tenzer R (2017) Spectral Downward Continuation of Gravitational Curvatures and Its Implications for Future Gravity Field Missions. 12th Slovak Geophysical Conference, September 28-29, Comenius University, Bratislava, Slovakia. [Active: Private personal link]
Pitoňák M, Eshagh M, Šprlák M, Tenzer R, Novák P (2017) Spectral Combination of Spherical Gravitational Curvature Boundary-Value Problems. Poster presented at the European Geosciences Union General Assembly, April 23-28, Vienna, Austria. [Not available]
Novák P, Šprlák M, Tenzer R, Pitoňák M (2016) Integral Formulas for Analysis of Current and Future Satellite Gravitational Observations. Poster presented at the AGU Fall Meeting, December 12-16, San Francisco, USA. [Not available]
Novák P, Tenzer R, Pitoňák M, Šprlák M (2016) Effect of Crustal and Mantle Density Structure on the Quasigeoid-to-Geoid Separation. Poster presented at the European Geosciences Union General Assembly, April 18-22, Vienna, Austria. [Not available]
Pitoňák M, Šprlák M, Novák P, Tenzer R (2016) Possibilities of the Regional Gravity Field Recovery from First-, Second- and Third-Order Radial Derivatives of the Disturbing Gravitational Potential Measured on Moving Platforms. Poster presented at the European Geosciences Union General Assembly, April 18-22, Vienna, Austria. [Not available]
Pitoňák M, Šprlák M, Sebera J, Novák P, Petrš J (2016) Comparative Study of the Far Zones Effect on the Spherical Downward Continuation. Poster presented at the ESA Living Planet Symposium, May 9-13, Prague, Czech Republic. [Not available]
Šprlák M, Hájková J, Pitoňák M, Novák P, Tenzer R (2016) An Analysis of Geoid Determination Based on Terrestrial Observations of the Radial Gravity Potential Derivatives. Poster presented at the European Geosciences Union General Assembly, April 18-22, Vienna, Austria. [Not available]
Šprlák M, Novák P (2016) Spherical Gravitational Curvature Boundary-Value Problem. Poster presented at the Gravity, Geoid and Height Systems 2016, 1st Joint Commission 2 & IGFS Symposium, September 19-23, Thessaloniki, Greece. [Active: Public personal link]
Šprlák M, Petrš J, Pitoňák M, Novák P, Tenzer R (2016) Possibilities of Validation for GRACE Satellite-to-Satellite Tracking Data by Integral Transforms. Poster presented at the ESA Living Planet Symposium, May 9-13, Prague, Czech Republic. [Not available]
Hamáčková E, Šprlák M, Pitoňák M, Novák P (2015) Comparison of Third-Order Geopotential Derivatives Based on Recent Satellite-Based GGMs and on Global Topographic-Isostatic Models. Poster presented at the 26th IUGG General Assembly, June 22-July 2, Prague, Czech Republic. [Active: Public personal link]
Novák P, Pitoňák M, Šprlák M (2015) Regional Recovery of the Disturbing Gravitational Potential from Satellite Observations of First-, Second- and Third-Order Radial Derivatives of the Disturbing Gravitational Potential. Poster presented at the AGU Fall Meeting, December 14-18, San Francisco, USA. [Not available]
Pitoňák M, Šprlák M, Hamáčková E, Novák P (2015) The Effect of Topographic and Atmospheric Masses on Inversion of Satellite Third-Order Gravitational Tensor onto Gravity Anomalies. Poster presented at the 26th IUGG General Assembly, June 22-July 2, Prague, Czech Republic. [Active: Public personal link]
Šprlák M, Novák P, Pitoňák M, Hamáčková E (2015) Solution of the Boundary Value Problems with Boundary Conditions in the Form of Gravitational Curvatures. Poster presented at the AGU Fall Meeting, December 14-18, San Francisco, USA. [Active: Public personal link]
Gerlach C, Šprlák M (2014) Analysis of GOCE Gravity Gradient Residuals with Respect to Global Gravity Field Models. Poster presented at the 5th International GOCE User Workshop, November 25-28, Paris, France. [Active: Public personal link]
Pitoňák M, Šprlák M, Novák P, Sebera J (2014) Determination of Disturbing Gravitational Potential by Inverting the Satellite Gradiometry Data. Poster presented at the 5th International GOCE User Workshop, November 25-28, Paris, France. [Active: Public personal link]
Sebera J, Novák P, Šprlák M, Vaľko M, Bouman J, Fuchs, Haagmans R (2014) Grids of GOCE Gravitational Gradients for Geophysical Applications. Poster presented at the European Geosciences Union General Assembly, April 27-May 2, Vienna, Austria. [Active: Public personal link]
Šprlák M, Gerlach C, Pettersen BR, Ophaug V (2014) Validation of Global Gravitational Field Models in Norway. Poster presented at the 5th International GOCE User Workshop, November 25-28, Paris, France. [Active: Public personal link]
Šprlák M, Novák P, Hamáčková E (2014) Validation Method of satellite Gradiometric Data by Integral Transform of Satellite Altimetry Data. Poster presented at the AGU Fall Meeting, December 15-19, San Francisco, USA. [Active: Public personal link]
Šprlák M, Novák P, Hamáčková E, Sebera J (2014) Integral Transformations of Disturbing Potential onto Gradiometric Data. Poster presented at the European Geosciences Union General Assembly, April 27-May 2, Vienna, Austria. [Active: Public personal link]
Novák P, Sebera J, Šprlák M, Vaľko M (2013) Downward Continuation, Validation and Combination of GOCE Gravitational Gradients for Geophysical Modeling. Poster presented at the AGU Fall Meeting, December 9-13, San Francisco, USA. [Active: Public personal link]
Sebera J, Novák P, Vaľko M, Šprlák M, Baur O, Tsoulis D, Martinec Z, Sneeuw N, Vermerseen B, van der Wal W, Bouman J, Fuchs M, Haagmans R (2013) High-Resolution Grids of Gravitational Gradients from GOCE. Poster presented at the ESA Living Planet Symposium, September 9-13, Edinburgh, Scotland. [Active: Public personal link]
Sebera J, Novák P, Vaľko M, Šprlák M, Bezděk A, Bouman J, Fuchs M (2013) Downward Continuation of the Gridded and Reprocessed GOCE Gravitational Gradients. Poster presented at the European Geosciences Union General Assembly, April 7-12, Vienna, Austria. [Active: Public personal link]
Šprlák M, Novák P, Vaľko M, Sebera J (2013) Comparing Grids of Observed GOCE Gravitational Gradients with Modeled GOCE Gravitational Gradients. Poster presented at the European Geosciences Union General Assembly, April 7-12, Vienna, Austria. [Active: Public personal link]
Šprlák M, Novák P, Vaľko M, Sebera J (2013) Comparison of Three Methods for the Downward Continuation of the Gravitational Gradients. Poster presented at the ESA Living Planet Symposium, September 9-13, Edinburgh, Scotland. [Active: Public personal link]
Šprlák M, Novák P, Vaľko M, Sebera J (2013) Spherical Integral Formulas for Upward/Downward Continuation of Gravitational Gradients onto Gravitational Gradients. Poster presented at the VIII Hotine-Marussi Symposium, June 17-21, Rome, Italy. [Active: Public personal link]
Pettersen BR, Šprlák M, Lysaker DI, Omang OCD, Sekowski M, Dykowski P (2012) Validation of GOCE by Absolute and Relative Gravimetry. Poster presented at the European Geosciences Union General Assembly, April 22-29, Vienna, Austria. [Active: Public personal link]
Pettersen BR, Šprlák M, Omang OCD, Lysaker DI, Sekowski M, Dykowski P (2012) Comparison of GOCE Gravity Field Models to Test Fields in Norway. Poster presented at the International Association of Geodesy Symposium: Gravity, Geoid and Height Systems, October 9-12, Venice, Italy. [Active: Public personal link]
Šprlák M, Gerlach C, Pettersen BR (2012) Evaluation of Residuals Between GOCE Global Gravity Field Models and GOCE Gravity Gradient Observations. Poster presented at the International Association of Geodesy Symposium: Gravity, Geoid and Height Systems, October 9-12, Venice, Italy. [Active: Public personal link]
Šprlák M, Gerlach C, Pettersen BR, Omang OCD (2012) Validation of GOCE Global Gravitational Field Models by Comparison with Regional Geoid and Gravity Anomaly Surfaces. Poster presented at the European Geosciences Union General Assembly, April 22-29, Vienna, Austria. [Active: Public personal link]
Šprlák M, Gerlach C, Omang OCD, Pettersen BR (2011) Comparison of GOCE Derived Satellite Global Gravity Models with EGM2008, the OCTAS Geoid and Terrestrial Gravity Data: Case Study for Norway. Poster presented at the 4th International GOCE User Workshop, March 31 - April 1, TUM, Munich, Germany. [Active: Public personal link]
Šprlák M, Pettersen BR, Gerlach C (2011) Validation of the GOCE Level 2 Gravity Gradients by Upward Continuation: Software Testing and Preliminary Results for Norway. Poster presented at the European Geosciences Union General Assembly, April 3-8, Vienna, Austria. [Active: External link, Backup: Private personal link] (Also presented at Geomatikkdagene, March 13-15 2012, Lilllehammer, Norway)
Deák P, Šprlák M (2010) GIS4EU International Project and VUGK Activities. Poster presented at the International Conference Geoinformation Infrastructures for Science and Society, May 26-28, Brno, Czech Republic (in Slovak). [Active: Public personal link]
Šprlák M, Fašková Z, Mikula K (2010) On the application of the infinite element method to geodetic boundary value problem. Poster presented at the European Geosciences Union General Assembly, May 2-7, Vienna, Austria. [Active: Public personal link]
Šprlák M, Pettersen BR, Gerlach C (2010) Nova-GOCE: Norwegian validation and exploitation of GOCE gravity data. Poster presented at the Nordic Geodetic Commission General Assembly, September 27-30, Hønefoss, Norway. [Active: Public personal link] (Also presented at Geomatikkdagene, March 13-15 2012, Lilllehammer, Norway)
Mojzeš M, Šprlák M, Vaľko M (2009) Using of EGM08 for Normal Heights Determination. Poster presented at the European Geosciences Union General Assembly, April 19-24, Vienna, Austria. [Not available]
Šprlák M, Javorníková A, Deák P (2009) VUGK Activities in GIS4EU International Project. Poster presented at the International Conference Intergraph Geoforum CS 2009, September 7-8, Brno, Czech Republic (in Slovak). [Active: Public personal link]
Mojzeš M, Šprlák M, Vaľko M, Janák J (2008) Combination of Earth Gravity Model EGM08, Local Gravity Data and GNSS Observations for Determination of Normal Heights. Poster presented at AGU Fall Meeting, December 15-19, San Francisco, USA. [Active: Public personal link]
Šprlák M, Mojzeš M (2008) Earth’s Gravity Field Modeling Using EGM2008 Global Gravity Field Model. Poster presented at the International Scientific Symposium 70th Anniversary of the Faculty of Civil Engineering, December 4-5, Bratislava, Slovakia (in Slovak). [Active: Public personal link]
Šprlák M, Mojzeš M, Janák J (2008) Improvement of Regional Quasigeoid Model in Slovakia Using the Combined Global Gravity Field Model. Poster presented at the European Geosciences Union General Assembly, April 13-18, Vienna, Austria. [Active: Public personal link]
Janák J, Šprlák M, Mikula K (2007) Downward Continuation of Second Radial Derivative of Disturbing Potential - Application for GOCE Mission. Poster presented at the European Geosciences Union General Assembly, April 15-20, Vienna, Austria. [Active: Public personal link]
Šprlák M, Janák J, Mojzeš M (2007) Comparison of Gravimetric Quasigeoid Models Using Spherical Stokes‘s Function and Its Five Deterministic Modifications. Poster presented at the European Geosciences Union General Assembly, April 15-20, Vienna, Austria. [Active: Public personal link]
Janák J, Mikula K, Šprlák M (2006) Downward Continuation of Satellite Gradiometry Data. Poster presented at the 3rd International GOCE User Workshop, November 6-8, Frascati, Italy. [Active: Public personal link]
Published abstracts:
Trnka P, Pitoňák M, Belinger J, Novák P, Šprlák M (2024) A New Software for the Calculation of the Far-Zone Effects for Spherical Integral. In: Proceedings of the International Conference - Satellite Methods in Theory and Practice, February 1, Brno, Czech Republic, p. 66, http://dx.doi.org/10.13164/seminargnss.2024.66. [Active: Public personal link]
Pitoňák M, Šprlák M, Ophaug V, Omang OCD, Novák P (2023) Validation of Satellite Gravitational Gradients Grids by Spectral Combination Method and GNSS/Levelling Data Over Norway, Czechia and Slovakia. In: Proceedings of the International Seminar - Satellite Methods in Geodesy and Cadastre, February 1, Brno, Czech Republic, pp. 36-37, http://dx.doi.org/10.13164/seminargnss.2023.36. [Active: Public personal link].
Šprlák M, Han S-C, Pitoňák M, Novák P (2023) GRAIL and LOLA Satellite Data Resolve the Long-Lasting Convergence/Divergence Problem for the Analytical Downward Continuation of the External Spherical Harmonic Expansions. In: Proceedings of the International Seminar - Satellite Methods in Geodesy and Cadastre, February 1, Brno, Czech Republic, pp. 38-39, http://dx.doi.org/10.13164/seminargnss.2023.38. [Active: Public personal link].
Trnka P, Belinger J, Šprlák M, Pitoňák M, Novák P (2023) Far Zone Effects for Integral Transformations: Theory and Implementation. In: Proceedings of the International Seminar - Satellite Methods in Geodesy and Cadastre, February 1, Brno, Czech Republic, p. 61, http://dx.doi.org/10.13164/seminargnss.2023.61. [Active: Public personal link].
Pitoňák M, Šprlák M, Varga M (2022) Gravity Disturbance Modelling Using XGM2019 and Global Terrain Models. Tatry 2022 - Global Geodesy and Geoinformatics, November 24-25, Štrbské pleso, Slovakia (in Slovak). [Active: Private personal link]
Šprlák M, Ghobadi-Far K, Han S-C, Pitoňák M, Novák P (2022) Determination of Surface Mass from GRACE and GRACE-FO Satellite Missions. Tatry 2022 - Global Geodesy and Geoinformatics, November 24-25, Štrbské pleso, Slovakia. [Active: Public personal link]
Pitoňák M, Eshagh M, Šprlák M, Novák P (2022) Estimation of Lithospheric Elastic Thickness from In-Orbit GOCE-Based Vertical Gradients and CRUST1.0. International Seminar - Satellite Methods in Geodesy and Cadastre, February 3, Brno, Czech Republic. [Active: External link, Backup: Private personal link]
Šprlák M, Han S-C, Featherstone WE, Novák P, Pitoňák M (2022) Crustal Density and Global Gravitational Field Estimation on the Moon from GRAIL and LOLA Satellite Data. International Seminar - Satellite Methods in Geodesy and Cadastre, February 3, Brno, Czech Republic. [Active: External link, Backup: Private personal link]
Šprlák M, Khobadi-Far K, Han S-C (2020) Determination of Surface Mass from GRACE and GRACE-FO. In: Proceedings of the International Seminar - Satellite Methods in Geodesy and Cadastre, January 30, 2020, Technical University, Brno, Czech Republic, p. 52. [Active: Public personal link]
Novák P, Šprlák M (2019) Spheroidal Integral Equations for Recovery of the Geopotential from Its Gradients Measured by Ground, Airborne and Satellite Sensors. In: Geophysical Research Abstracts, Vol. 21: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Pitoňák M, Eshagh M, Novák P, Šprlák M, Tenzer R (2018) Recovery of the Gravitational Potential at the Earth's Surface by Spectral Combination of First-, Second- and Third-Order Radial Derivatives of the Gravitational Potential Measured by Satellite Sensors. In: Geophysical Research Abstracts, Vol. 20: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Novák P, Pitoňák M, Šprlák M, Tenzer R (2018) Gravitoscopy of Earth's Mass Density Distribution Based on Higher-Order Gradients of the Gravitational Potential. In: Geophysical Research Abstracts, Vol. 20: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Pitoňák M, Eshagh M, Šprlák M, Tenzer R, Novák P (2017) Spectral Combination of Spherical Gravitational Curvature Boundary-Value Problems. In: Geophysical Research Abstracts, Vol. 19: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Novák P, Tenzer R, Pitoňák M, Šprlák M (2016) Accuracy of Classical Definition of the Geoid-to-Quasigeoid Separation. In: Geophysical Research Abstracts, Vol. 18: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Novák P, Tenzer R, Pitoňák M, Šprlák M (2016) Effect of Crustal and Mantle Density Structure on the Quasigeoid-to-Geoid Separation. In: Geophysical Research Abstracts, Vol. 18: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Petrš J, Šprlák M (2016) Application of Integral Transforms for Validation of the GRACE Satellite Data. In: Student’s Scientific Conference, Faculty of Applied Sciences, University of West Bohemia, Plzeň, Czech Republic, (in czech). [Active: Public personal link]
Pitoňák M, Šprlák M, Novák P, Tenzer R (2016) Possibilities of the Regional Gravity Field Recovery from First-, Second- and Third-Order Radial Derivatives of the Disturbing Gravitational Potential Measured on Moving Platforms. In: Geophysical Research Abstracts, Vol. 18: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Hájková J, Pitoňák M, Novák P, Tenzer R (2016) An Analysis of Geoid Determination Based on Terrestrial Observations of the Radial Gravity Potential Derivatives. In: Geophysical Research Abstracts, Vol. 18: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Hamáčková E, Šprlák M, Pitoňák M, Novák P (2015) Non-Singular Expressions for the Spherical Harmonic Synthesis of Third-Order Geopotential Derivatives in a Local North-Oriented Reference Frame. In: Student’s Scientific Conference, Faculty of Applied Sciences, University of West Bohemia, Plzeň, Czech Republic, (in czech). [Active: Public personal link]
Sebera J, Novák P, Šprlák M, Vaľko M, Bouman J, Fuchs, Haagmans R (2014) Grids of GOCE Gravitational Gradients for Geophysical Applications. In: Geophysical Research Abstracts, Vol. 16: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Novák P, Hamáčková E, Sebera J (2014) Integral Transformations of Disturbing Potential onto Gradiometric Data. In: Geophysical Research Abstracts, Vol. 16: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Sebera J, Novák P, Vaľko M, Šprlák M, Bezděk A, Bouman J, Fuchs M (2013) Downward Continuation of Gridded and Reprocessed GOCE Gravitational Gradients. In: Geophysical Research Abstracts, Vol. 15: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Novák P, Vaľko M, Sebera J (2013) Comparing Grids of Observed GOCE Gravitational Gradients with Modeled GOCE Gravitational Gradients. In: Geophysical Research Abstracts, Vol. 15: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Pettersen BR, Šprlák M, Lysaker DI, Omang OCD, Sekowski M, Dykowski P (2012) Validation of GOCE by Absolute and Relative Gravimetry. In: Geophysical Research Abstracts, Vol. 14: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Gerlach C, Pettersen BR, Omang OCD (2012) Validation of GOCE Global Gravitational Field Models by Comparison with Regional Geoid and Gravity Anomaly Surfaces. In: Geophysical Research Abstracts, Vol. 14: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Pettersen BR, Gerlach C (2011) Validation of the GOCE Level 2 Gravity Gradients by Upward Continuation: Software Testing and Preliminary Results for Norway. In: Geophysical Research Abstracts, Vol. 13: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Fašková Z, Mikula K (2010) On the Application of the Infinite Element Method to Geodetic Boundary Value Problem. In: Geophysical Research Abstracts, Vol. 12: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Mojzeš M, Šprlák M, Vaľko M (2009) Using of EGM08 for Normal Heights Determination. In: Geophysical Research Abstracts, Vol. 11: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Mojzeš M, Janák J (2008) Improvement of Regional Quasigeoid Model in Slovakia Using the Combined Global Gravity Field Model. In: Geophysical Research Abstracts, Vol. 10: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Janák J, Šprlák M, Mikula K (2007) Downward Continuation of Second Radial Derivative of Disturbing Potential - Application for GOCE Mission. In: Geophysical Research Abstracts, Vol. 9: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Šprlák M, Janák J, Mojzeš M (2007) Comparison of Gravimetric Quasigeoid Models Using Spherical Stokes‘s Function and Its Five Deterministic Modifications. In: Geophysical Research Abstracts, Vol. 9: Abstracts of the Contributions of the EGU General Assembly, Vienna, Austria. [Active: Public personal link]
Janák J, Mikula K, Šprlák M (2006) Downward Continuation of Satellite Gradiometry Data. In: Abstract Book, 3rd International GOCE User Workshop, November 6 - 8, Frascati, Italy, European Space Agency, p. 23. [Active: External link, Backup: Private personal link]
Unpublished Studies:
Šprlák M (2009) Generalized Geoidal Estimator for Deterministic Modifications of Spherical Stokes’s Function. Technical Report. Research Institute of Geodesy and Cartography, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2008) Numerical Testing of Procedures for the Determination of the Quasigeoid. Summary of the Doctoral Thesis, Department of Theoretical Geodesy, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M, Janák J, Mojzeš M (2008) Alternative formula for the truncation error coefficients corresponding to Hotine-Koch’s integral. Technical Report. Department of Theoretical Geodesy, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia. [Active: Public personal link]
Šprlák M (2007) Modifications of the Stokes Function in the form of Remainder of the Taylor Polynomial of the 0th, 1st and 2nd Order. Paper presented at the Competition of Doctoral Students 2007, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2006) Comparison of Three Deterministic Modifications of the Stokes Function Without the Effect of the Distant Zones Using Synthetic Earth Gravity Field Model. Paper presented at the Competition of Doctoral Students 2006, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2006) Solution of the Mixed Boundary Value Problem with Newton and Dirichlet Boundary Conditions by the Finite Element Method. Report for Doctoral Seminar, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2005) Testing of the Stokes’s Integration Using a Synthetic Earth Gravity Field Model. Paper presented at the Czech-Slovak Student’s Scientific Conference, Faculty of Civil Engineering, Technical University, Košice, Slovakia, (in Slovak). [Not available]
Šprlák M (2005) Testing of the Stokes Integration Using a Synthetic Earth Gravity Field Model. Paper presented at the Student’s Scientific Conference 2005, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]
Šprlák M (2004) Improvements of the Software for the Earth’s Gravity Field Modeling. Paper presented at the Student’s Scientific Conference 2004, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia, (in Slovak). [Active: Public personal link]