29. Sofia Singla, S C Martha and T Sahoo, (2018) Mitigation of structural responses of a very large floating structure in the presence of vertical porous barrier, Ocean
Engineering, 165, 505-527
30. A. Choudhary, S. C. Martha and A. Chakrabarti, (2019) Modified method for the solution of dual trigonometric series relations, Proceedings of the National Academy of Sciences,
India Section A: Physical Sciences, Accepted for Publications (February 2019)
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(I)Research Publications in Journals
1. S. C. Martha and S. N. Bora, Water wave diffraction by a small deformation of the ocean bottom for oblique incidence, Acta Mechanica, 185(3-4), 165-177 (2006). (A Springer Journal). [article] .
2. S. C. Martha and S. N. Bora, Reflection and transmission coefficients for water wave scattering by a sea-bed with small undulation, Zeitschrift fÄur Angewandte Mathematik und Mechanik/Journal of Applied Mathematics and Mechanics (ZAMM), 87(4), 314-321 (2007) . (A Wiley InterScience Journal). [article].
3. S. C. Martha and S. N. Bora, Oblique surface wave propagation over a small undulation on the bottom of an ocean, Geophysical and Astrophysical Fluid Dynamics, 101(2), 65-80 (2007). (A Taylor and Francis Journal). [article].
4. S. C. Martha, S. N. Bora and A. Chakrabarti, Oblique water wave scattering by small undulation on a porous sea-bed, Applied Ocean Research, 29(1-2), 86-90 (2007). (An Elsevier Journal). [article].
5. S. C. Martha and S. N. Bora, Scattering of surface waves over an uneven sea-bed, Applied Mathematics Letters, 21, 1082-1089 (2008). (An Elsevier Journal). [article].
6. A. Chakrabarti and S. C. Martha, Scattering of water waves by freely floating semi-infinite elastic plates on water of finite depth, Frontiers of Appl. and Computational Math. (FACM), edited by D. Blackmore, A. Bose and P. Petropoulos, World Scientific, 83-94 (2008). (A Book Published by World Scientific). [article] or [http://dx.doi.org/10.1142/9789812835291_0008].
7. S. C. Martha, S. N. Bora and A. Chakrabarti, Interaction of surface water waves with small bottom undulation on a sea-bed, Journal of Applied Mathematics and Informatics, 27 (No.5-6), 1017-1031 (2009). (A Journal by Korean Society for Computational and Applied Mathematics). [article] .
8. A. Chakrabarti and S. C. Martha, Energy-balance relations in surface water wave problems involving floating elastic plates, JARAM: Journal of Advanced Research in Applied Mathematics, 1(2), 27-34 (2009). (A Journal Published by Institute of Advanced Scientific Research,
Irvine, California). [article].
9. A. Chakrabarti and S. C. Martha, Approximate solutions of Fredholm integral equations of the second kind, Applied Mathematics and Computation, 211(2), 459-466 (2009). (An Elsevier Journal). [article].
10. A. Chakrabarti and S. C. Martha (2011), A review on the mathematical aspects of fluid flow problems in an infinite channel with arbitrary bottom topography, Journal of Applied Mathematics and Informatics, 29 (No. 5-6), 1583-1602. (A Journal by Korean Society for Computational and Applied Mathematics) [article]
11. S. C. Martha, S. N. Bora, A. Chakrabarti (2011), Eigenfunction expansion method for water wave scattering by small undulation, AIP Conference Proceedings, Volume 1376 (Recent Progresses in Fluid Dynamics Research), pp 258-260. [article: Published by American Institute of Physics, http://dx.doi.org/10.1063/1.3651891]
12. A. Chakrabarti and S. C. Martha (2012), Methods of Solution of Singular Integral Equations, Mathematical Sciences, Vol 6, 15 pages (Published by SpringerOpen, http://dx.doi.org/10.1186/2251-7456-6-15)
13. Srikumar Panda, S. S. Samantaray and S. C. Martha (2013) Wave Scattering by Small Undulation on the Porous Bottom of an Ocean in the Presence of Surface Tension, ISRN Oceanography, Vol. 2013, Article ID 504879, 6 pages (Published by Hindawi, DOI: http://dx.doi.org/10.5402/2013/504879)
14. Srikumar Panda and S. C. Martha, (2013) Oblique wave diffraction by varying porous bottom in the presence of surface tension, AIP Conference Proceedings, Volume 1536, Pages 595-596 (Published by American Institute of Physics, DOI: http://dx.doi.org/10.1063/1.4810367 )
15. Srikumar Panda and S. C. Martha (2013), Interaction of water waves with small undulation on a porous bed in a two-layer ice-covered fluid, Journal of Marine Science and Application, 12 (4), 381-392 (Published by Springer)
16. S. Panda, A. Bhowmik, R. Das, R. Repaka, S. C. Martha, (2014) Application of Homotopy Analysis Method and Inverse Solution of a Rectangular Wet Fin, Energy Conversion and Management, 80, 305-318 (Elsevier Publication)
17. A. Bhowmik, S. Panda, R. Das, R. Repaka and S. C. Martha, (2014) Inverse analysis of conductive-convective wet triangular fin for predicting thermal properties and fin dimensions, Inverse Problems in Science and Engineering, 22 (8), pp. 1367-1393 (Taylor and Francis Publication)
18. S. Panda, R.K. Singla, R. Das and S. C. Martha, (2014) Identification of design parameters in a solar collector using inverse heat transfer analysis, Energy Conversion and
Management, 88, pp. 27-39 (Elsevier Publication)
19. Srikumar Panda and S. C. Martha, (2014) Transformation of water-wave energy in two-layer ocean in the presence of surface tension, IEEE Conference Proceedings of 2014 Recent Advances in Engineering and Computational Sciences, RAECS 2014 6799504, 6 pages.
20. Srikumar Panda and S. C. Martha, (2014) Oblique Wave Scattering by Undulating Porous Bottom in a two-layer Fluid: Fourier transform approach, Geophysical and Astrophysical Fluid Dynamics, 108 (6), 587-614 (Taylor & Francis)
21. A. Choudhary and S. C. Martha (2014), Propagation of water waves in the presence of thin vertical barrier on the bottom undulation, Springer Proceedings in Mathematics and Statistics, 91, 1-11
22. Srikumar Panda, S. C. Martha and A. Chakrabarti (January 2015), Three-Layer Fluid Flow over Small Obstruction on the Bottom of a Channel, The ANZIAM Journal, 56 (3), 248-274 (Cambridge University Press)
23. Srikumar Panda, S. C. Martha and A. Chakrabarti (September 2015), A modified approach to numerical solution of Fredholm integral equations of the second kind, Applied
Mathematics an Computation, Volume 271, pp. 102-112 (Elsevier DOI: 10.1016/j.amc.2015.08.111)
24. Srikumar Panda, S. C. Martha and A. Chakrabarti (2016) An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography, Applied Mathematics
and Computation-Elsevier, Volume 273, 165-177 (doi:10.1016/j.amc.2015.09.086)
25. A. Choudhary and S. C. Martha, (2016) Diffraction of surface water waves by an undulating bed topography in the presence of vertical barrier, Ocean Engineering-Elsevier,
Volume 122, 32-43.
26. A. Choudhary and S. C. Martha, (2017) Scattering of oblique surface water waves by thin vertical barrier over undulating bed topography Sciences, Journal of Marine
Science and Application- Springer, Volume 16(2), 190-198.
27. A. Choudhary and S. C. Martha, (2017) Approximate solutions of some problems of scattering of surface water waves by vertical barriers, Sadhana-Springer, Volume
42(5), 759-768
28. Srikumar Panda and S.C. Martha, (2017) Water-waves Scattering by Permeable Bottom in Two-layer Fluid in the Presence of Surface Tension, Mathematical
Modelling and Analysis- Taylor & Francis, Volume 22(6), 827-851
(II) Publications in Book Chapter:
1. S. Panda, S. C. Martha and A. Chakrabarti, An integral equation approach to the fully nonlinear fluid flow problem in an infinite channel over arbitrary bottom topography, Nonlinear Mechanics: Proceedings of the Sixth International Conference, August 12-15, 2013, Shanghai, China edited by Zhewei Zhou, Published by DEStech Publications, Inc., USA, pages 90-94 (2013)
2. Srikumar Panda and S. C. Martha, Water Wave Scattering by Small Undulation of the Porous Bottom in a Two-layer Fluid, Mathematics and Computing: Current Research and Developments, Narosa Publishing House Pvt. Ltd., New Delhi, India, pages 87-96 (2013)
(III) Research Publications in Conference Proceedings:
1. S. C. Martha and S. N. Bora, Bessel Functions in Linear Water Wave Theory, Proceedings, the 5th Annual Conference on Special Functions and their Applications (SSFA), Lucknow, India, February 8-10, 2004, 102-114.
2. S. C. Martha and S. N. Bora, Transformation technique for water wave scattering by a variable bottom, Proceedings, Third International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM), Indian Institute of Technology Kharagpur, India, December 28-30, 2004, 162-164.
3. S. C. Martha and S. N. Bora, Water wave scattering by ocean bed of small deformation, Some Aspects of Environmental Fluid Mechanics published by Allied Publishers Pvt. Ltd. India: Proc. International Conference on Environmental Fluid Mechanics (ICEFM'05), Indian Institute of Technology Guwahati, March 3-5, 2005, 132-137.
4. S. C. Martha, S. N. Bora and A. Chakrabarti, Reflection of wave energy by small undulation of the sea-bed, Recent Advances in Computational Mechanics and Simulations published by I.K. International Publishing House Pvt. Ltd. India: Proc. 2nd International Congress on Computational Mechanics and Simulation, Indian Institute of Technology Guwahati, December 8-10, 2006, Vol. II, 1483-1489.
5. S. C. Martha, S. N. Bora and A. Chakrabarti, Oblique Surface-wave Propagation over Sinusoidally Varying Topography, Proceedings of 51st Congress of The Indian Society of Theoretical and Applied Mechanics (ISTAM), College of Engineering, Andhra University, Visakhapatnam, India, December 18-21, 2006, pages 23-30.
6. A. Chakrabarti and S. C. Martha, Solution of a special system of partial differential equations arising in fluid flow problem, Proceedings, National Seminar on Analysis of Partial Differential Equations, December 18-19, 2009, published by Department of Mathematics, Pondicherry University, Puducherry, India, March 2010.
7. S. C. Martha and A. Chakrabarti, Irrotational fluid flow in three layers of fluid in an infinite channel over an arbitrary topography, Proceedings, 37th Annual Conference of Orissa Mathematical Society and National Seminar on Role of Mathematics in the Progress of Industrialization and Human Values, Indira Gandhi Institute of Technology Sarang, Dhenkanal, Orissa, India, February 6-7, 2010, page 32-38 (2011).
8. S. C. Martha and S. Panda, Water-wave diffraction by small undulation on a porous ocean-bed in the presence of surface tension in a two-layer fluid, Bulletin of the
American Physical Society, 2012, Volume 57, Number 17, Article No. A13.06
9. S. Panda and S. C. Martha, Oblique wave scattering by small undulation of the porous bottom in a two-layer fluid, Proc. of 57th Congress of The Indian Society of
Theoretical and Applied Mechanics (ISTAM), Defence Institute of Advanced Technology, Pune, India, December 17-20, 2012, pages 235-242
10. Srikumar Panda and S. C. Martha, (2013) Oblique wave diffraction by varying porous bottom in the presence of surface tension, AIP Conference Proceedings, Volume 1536, Pages
595-596 (http://dx.doi.org/ 10.1063/1.4810367, Published by American Institute of Physics)
11. A. Choudhary and S. C. Martha, (2016) Wave scattering by a permeable barrier over undulating bed, AIP Conference Proceedings, Volume 1738, Pages 4800151-4800154
(doi: 10.1063/1.4952251)