Publications

3-Loop Feynman Integrals in the Euclidean or Physical Kinematical Region, E de Doncker, F Yuasa, 

T Ishikawa and K Kato, 22nd International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT), 11-15 March 2024 (abstract accepted, paper due after the conference) https://indico.cern.ch/event/1330797/contributions/5792184/

High Performance Multidimensional Integration, E de Doncker (invited), 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 Tokyo), Workshop on Exploring Arithmetic and Data Representation beyond the Standard in HPC, August 20 – 25, 2023 (abstract and presentation)

3-Loop Feynman Diagram Computations in Quantum Field Theory using Sector Decomposition and Numerical Extrapolation, E de Doncker, F Yuasa, T Ishikawa and K Kato, CCP2023 – 34th IUPAP Conference on Computational Physics, August 4 – 8, 2023 (abstract accepted, paper submitted)

Computation of 3-loop Integrals in Quantum Field Theory using Numerical Integration and Extrapolation, 

E de Doncker, F Yuasa, T Ishikawa and K Kato, 23rd International Conference in Computational Science and its Applications (ICCSA 2023), July 3 – 6, 2023 (abstract and presentation)

P Shekhar, A Hegazy (high school students) and E de Doncker, Developing an Improved Parallel Gibbs Algorithm for DNA Motif Finding, RECOMB Conference, Istambul, Turkey, April 16 – 18, 2023 (poster and abstract), http://recomb2023.bilkent.edu.tr/posters.html

Numerical Regularization for 4-loop Self-Energy Feynman Diagrams, Elise de Doncker, Fukuko Yuasa, Tadashi Ishikawa, J. Phys. Conf. Ser., 2438, 012147 (2023), doi: 10.1088/1742-6596/2438/1/012147,https://iopscience.iop.org/article/10.1088/1742-6596/2438/1/012147

Dynamic Downscaling and Daily Nowcasting from Influenza Surveillance Data, Rajib Paul, Dan Han,  Elise DeDoncker and Diana Prieto, Statistics in Medicine (2022), doi: 10.1002/sim.9502, https://doi.org/10.1002/sim.9502

Loop Integral Computation in the Euclidean or Physical Kinematical Region using Numerical Integration and Extrapolation, E de Doncker, F Yuasa, T Ishikawa and K Kato, 21st International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 2022), Accepted, https://indico.cern.ch/event/1106990/papers/4997231/

Regularization of Feynman 4-loop Integrals with Numerical Integration and Extrapolation,  

Elise de Doncker and Fukuko Yuasa, Springer Lecture Notes in Computer Science (LNCS), 13378, pp. 388-405 

(2022), https://link.springer.com/chapter/10.1007/978-3-031-10562-3_28   

•        Design and Implementation of an Efficient Priority Queue Data Structure, James Rhodes and Elise de Doncker, Springer Lecture Notes in Computer Science (LNCS), 13378, pp. 343-537 (2022), https://link.springer.com/chapter/10.1007/978-3-031-10562-3_25   

Dynamic Prediction of Heusler Alloys with Giant Magnetocaloric Effect using Machine Learning, 

T Gharaibeh, P Ari-Gur and E de Doncker, Journal of Modern Processes in Manufacturing and Production, 11(3), pp. 25-33 (2022), magiran.com/p2505755     

Accuracy of State-Level Surveillance during Emergency Outbreaks of Respiratory Viruses: A Model-Based Assessment, Yuwen Gu, Elise DeDoncker, Richard VanEnk, Rajib Paul, Susan Peters, Gillian Stoltman and 

Diana Prieto, Medical Decision Making (2021), https://pubmed.ncbi.nlm.nih.gov/34269123 ,  DOI: 10.1177/0272989X211022276 

Supplemental Material sj-pdf-1-mdm-10.1177_0272989X211022276 – Accuracy of State-Level Surveillance during Emergency Outbreaks of Respiratory Viruses: A Model-Based Assessment, Yuwen Gu, Elise DeDoncker, Richard VanEnk, Rajib Paul, Susan Peters, Gillian Stoltman and Diana Prieto, Medical Decision Making (2021), https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8488654/   

 Self-Energy Feynman Diagrams with Four Loops and 11 Internal lines, E de Doncker and  F Yuasa, Springer Lecture Notes in Computer Science (LNCS), volume 12953 (2021), pp. 160-175, https://link.springer.com/chapter/10.1007%2F978-3-030-86976-2_11   

 Unsupervised Learning Model to Uncover Hidden Knowledge from COVID-19 Vaccines Literature, T Gharaibeh and E de Doncker, in Computational Science and its Applications – ICCSA, Workshop on 

Advancements in Applied Machine Learning and Data Analytics – AAMDA 2021, Springer International Publishing, ISBN 978-3-030-86959-5 and 978-3-030-86960-1 

Unsupervised Learning with Word Embeddings Captures Quiescent Knowledge from COVID-19 Literature,  

T Gharaibeh and E de Doncker, Symposium on Artificial Intelligence (CSCI-ISAI 2020) (Dec. 2020), 

IEEE, https://ieeexplore.ieee.org/document/9457998, 10.1109/CSCI51800.2020.00081,  ISBN 978-1-7281-7624-6 

Large Scale Automatic Computations for Feynman Diagrams with up to Five Loops, E de Doncker, F Yuasa,  

O Olagbemi and T Ishikawa, Springer Lecture Notes in Computer Science (LNCS), 12253 (2020), pp. 145-162, doi: 10.1007/978-3-030-58814-4_11

Scalable Algorithms for Multivariate Integration with ParAdapt and CUDA, O Olagbemi and E de Doncker, CSCI 2019, IEEE Xplore, doi:10.1109/CSCI49370.2019.00093   

Numerical Multi-Loop Integration on Heterogeneous Many-Core Processors, E de Doncker, F Yuasa,  A Almulihi, N Nakasato, H Daisaka and T Ishikawa, Journal of Physics: Conf. Ser. (JPCS) 1525, 012002

IOP Series (2020), https://iopscience.iop.org/article/10.1088/1742-6596/1525/1/012002  

qSMF: An Approximate Algorithm for Quorum Planted Motif Search on ChiP-Seq Data, H Al-Shaikhli and  E de Doncker, 2019 IEEE International Conference on Electro/Information Technology, IEEE Xplore,  DOI: 10.1109/EIT.2019.8834006   

Emotional Awareness based Classification Model for Twitter Sentiment Analysis using a Deep Neural 

Network, A S M Alharbi and E de Doncker, in 21st International Conference on Artificial Intelligence 

(ICAI’19), Proc. CSCE 2019, pp. 142-145, ISBN 1-60132-501-0, 

Changing Energy Consumption Patterns Based on Multi-Agent Human Behavior Modeling for Analyzing the Effects of Feedback Techniques, M Alrizq, E de Doncker and A Fong, In Power and Energy Conference Illinois 

(PECI), 2019 IEEE, pp. 1-8, https://ieeexplore.ieee.org/document/8698779  

Twitter Sentiment Analysis with a Deep Neural Network: An Enhanced Approach using User Behavioral 

Information, A S M Alharbi and E de Doncker, Cognitive Systems Research 54 (2019), pp. 50-61,  https://doi.org/10.1016/j.cogsys.2018.10.001

Efficient GPU Integration for Multi-loop Feynman Diagrams with Massless Internal Lines, E de Doncker,  

F Yuasa and A Almulihi, in Computational and Experimental Simulations in Engineering, Mechanisms and 

Machine Science 75 (2019), pp. 737-747, https://link.springer.com/chapter/10.1007/978-3-030-27053-7_62   

Regularization with Numerical Extrapolation for Finite and UV-Divergent Multi-loop Integrals, E de Doncker, F Yuasa, K Kato, T Ishikawa, J Kapenga, O Olagbemi, Computer Physics Communications 224 (2018),  pp. 164-185, https://www.sciencedirect.com/science/article/pii/S0010465517303703 ;  Also preprint arXiv:[hep-ph] https://arxiv.org/abs/1702.04904

 A Novel Fuzzy Based Human Behavior Model for Residential Electricity Consumption Forecasting, M Alrizq and E de Doncker, 2018 Power and Energy Conference in Illinois (PECI), 2018 IEEE, pp. 1-7, https://ieeexplore.ieee.org/document/8334984   

SMF: Approximate Algorithm for the Planted (l, d) Motif Finding Problem in DNA Sequences, H Al-Shaikhli and E de Doncker, Conf. BIOCOMP (Bioinformatics and Computational Biology), pp. 123-129 (2018), ISBN: 

1-60132-471-5, https://csce.ucmss.com/cr/books/2018/LFS/CSREA2018/BIC4274.pdf   

Accelerating High-Dimensional Integration using Lattice Rules on GPUs, A Almulihi and E de Doncker,  Intl. Conf. on Comp. Science and Comp. Intelligence (CSCI'17), https://american-cse.org/csci2017 ; IEEE 

Xplore; ISBN-13: 978-1-5386-2652-8; BMS Part # CFP1771X-USB; DOI 10.1109/CSCI.2017.313

High Speed Evaluation of Loop Integrals using Lattice Rules, E de Doncker, A Almulihi and F Yuasa, Journal of Physics: Conf. Ser. (JPCS) 1085, 052005, IOP Series (2018)

Direct Numerical Computation and its Application to the Higher-Order Radiative Corrections, K Kato,  E de Doncker, T Ishikawa and F Yuasa, Journal of Physics: Conf. Ser. (JPCS) 1085, IOP Series (2018), iopscience.iop.org/article/10.1088/1742-6596/1085/5/052002/pdf  

Transformed Lattice Rules for Feynman Loop Integrals on GPUs, E de Doncker, A Almulihi and F Yuasa,  Journal of Physics: Conf. Ser. (JPCS) 1136, IOP Series (2018), https://iopscience.iop.org/article/10.1088/17426596/1136/1/012002  

 Feynman Loop Numerical Integral Expansions for 3-loop Feynman Integrals, E de Doncker, F Yuasa, Procedia Computer Science 108 (2017), 1773-1782; 

http://www.sciencedirect.com/science/article/pii/S1877050917308815   

Flu MODELO 1.0: A simulation and graphic interface for training and decision support for influenza management, G Ostroy, D Prieto, Y Gu, E Dedoncker and R Paul, 2017 IEEE International Conference on Bioinformatics and Biomedicine (BIBM) (2017), https://ieeexplore.ieee.org/document/8218029 , DOI: 

10.1109/BIBM.2017.8218029 

 Workshop on Large Scale Computational Physics LSCP 2017, E de Doncker, F Yuasa, Procedia Computer Science 108 (2017), 1741-1742; http://www.sciencedirect.com/science/article/pii/S1877050917309328   

Enhance a Deep Neural Network Model for Twitter Sentiment Analysis by Incorporating User Behavioral Information, A S M and E de Doncker,  in “Intelligent Computing Theories and Application,” Lecture Notes in 

Computer Science 10361 (2017), 81-88; http://www.springer.com/gp/book/9783319633084  https://link.springer.com/chapter/10.1007/978-3-319-63309-1_8  

Numerical Integration and Extrapolation for Finite and UV-Divergent 3-loop Feynman Integrals, E de Doncker, F Yuasa, K. Kato, T. Ishikawa, Journal of Physics: Conf. Ser. (JPCS), IOP Series 920 (2017), 0120005, http://iopscience.iop.org/article/10.1088/1742-6596/920/1/012005   

Adaptive Integration and Singular Boundary Transformations, E de Doncker, F Yuasa, T Ishikawa, J Kapenga, O Olagbemi, Procedia Computer Science 80(2016), 1428-1438, http://dx.doi.org/10.1016/j.procs.2016.05.462

Workshop on Large Scale Computational Physics LSCP 2016, O Olagbemi, E de Doncker, F Yuasa, Procedia Computer Science 80 (2016), 1416-1417, https://doi.org/10.1016/j.procs.2016.05.452   

High Performance and Increased Precision Techniques for Feynman Loop Integrals, K Kato, E de Doncker, T Ishikawa, J Kapenga, O Olagbemi and F Yuasa, Journal of Physics: Conf. Ser. (JPCS), IOP Series 762 (2016), 

012070, http://iopscience.iop.org/article/10.1088/1742-6596/762/1/012070    

 Task Partitioning for Bayesian Applications, E. de Doncker and A. Almulihi, The 2016 International 

Conference on Computational Science and Computational Intelligence (CSCI), ISBN: 978-1-5090-5510-4 IEEE 

Computer Society ON: E6020 BMS Part Number: CFP1671X-USB (2017) http://ieeexplore.ieee.org/document/7881407   

Hybrid Multi-threaded Simulation of Agent-Based Pandemic Modeling using Multiple GPUs, B. Shekh,  E. de Doncker and D. Prieto, IEEE International Conf. on Bioinformatics & Biomedicine (BIBM'15), 14781485, IEEE Xplore DOI: 10.1109/BIBM.2015.7359894  

Monte Carlo Simulations on Intel Xeon Phi: Offload and Native Mode, B. Shareef, E. de Doncker and  

J. Kapenga, 2015 IEEE High Performance Extreme Computing (HPEC’15), IEEE Xplore DOI:

10.1109/HPEC.2015.7322456  

Adaptive Integration for 3-loop Feynman Diagrams with Massless Propagators, E. de Doncker, F. Yuasa,  and O. Olagbemi, Procedia Computer Science 51(2015), pp. 1333-1342,  

http://www.sciencedirect.com/science/article/pii/S1877050915011266 , doi:10.1016/j.procs.2015.05.318  

Workshop on Large Scale Computational Physics – LSCP, E. de Doncker and F. Yuasa, Procedia Computer Science 51 (2015), pp. 1269-1271, http://www.sciencedirect.com/science/article/pii/S1877050915011266 , doi:10.1016/j.procs.2015.05.318  

Scalable Software for Multivariate Integration on Hybrid Platforms. E. de Doncker, J. Kapenga, F. Yuasa and O. Olagbemi. Journal of Physics: Conf. Ser. (JPCS), IOP Series 640 (2015), 012062, doi:10.1088/17426596/640/1/012062  

Automatic Numerical Methods for Feynman Integrals through 3-loop. E. de Doncker, F. Yuasa, K. Kato,  T. Ishikawa, O. Olagbemi. Journal of Physics: Conf. Ser. (JPCS), IOP Series 608 (2015),  http://iopscience.iop.org/article/10.1088/1742-6596/608/1/012071/meta  

GPGPU Parallelization of Self-Calibrating Agent-Based Influenza Outbreak Simulation. P. Holvenstot, D. Prieto and E. de Doncker, IEEE Explore, DOI:10.1109/HPEC.2014.7041000 (2014), http://ieeexplore.ieee.org/document/7041000/   

Open Source Software for Monte Carlo/DSMC Applications. E. de Doncker, J. Kapenga, W. Liou, 55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials (SciTech) (2014), doi:0.2514/6.2014-0348, https://arc.aiaa.org/doi/pdf/10.2514/6.2014-0348    

 GPU Integral Computations in Stochastic Geometry. E. de Doncker and R. Assaf. Lecture Notes in Computer Science 7973, pp. 129-139, in Theoretical Computer Science and General Issues, Springer (2014), ISBN 978-3-

642-39646-5 (eBook), ISBN: 978-3-642-39642-7 (Print), doi:10.1007/978-3-642-39643-4_10  

Distributed and multi-core computation of 2-loop integrals, E. de Doncker and F. Yuasa, Journal of Physics: Conf. Ser. 523 (June 2014), http://iopscience.iop.org/article/10.1088/1742-6596/523/1/012052   

Multi-threaded Adaptive Extrapolation Procedure for Feynman Loop Integrals in the Physical Region. E. de Doncker, F. Yuasa and R. Assaf. Journal of Physics: Conf. Ser. 454 (Aug. 2013), 012082, doi:10.1088/17426596/454/1/012082  

Parallel Programming Approaches for an Agent-Based Simulation of Concurrent Pandemic and Seasonal 

Influenza Outbreaks. M. Soto-Ferrari, P. Holvenstot, D. Prieto, E. de Doncker, J. A. Kapenga. Procedia 

Computer Science 18 (2013), 2187-2192, https://doi.org/10.1016/j.procs.2013.05.389   

 Adaptive Control in Multi-threaded Iterated Integration. E. de Doncker and F. Yuasa. Journal of Physics: Conf. Ser. 410 (Feb. 2013), 012047, doi:10.1088/1742-6596/410/1/012047  

Parallel Computation of Feynman Loop Integrals. E. de Doncker and F. Yuasa. Journal of Physics: Conf. Ser. 402 (Dec. 2012), 012029, doi:10.1088/1742-6596/402/1/012029  

Advances in Computational Methods: A Compilation. E. de Doncker, Journal of Computational Science (JoCS) 3 (3), 75-76, 2012

Quadpack Computation of Feynman Loop Integrals. E. de Doncker, J. Fujimoto, N. Hamaguchi, T. Ishikawa, Y. Kurihara, Y. Shimizu, F. Yuasa, Journal of Computational Science (JoCS) 3 (3), (2012), 102-112,  doi:10.1016/j.jocs.2011.06.003 , http://www.sciencedirect.com/science/article/pii/S1877750311000573   

Regularization of IR-divergent loop integrals. E. de Doncker, Y. Yuasa and Y. Kurihara, Journal of Physics: Conference Series, 2012, http://iopscience.iop.org/1742-6596/368/1  

Numerical Computation of Two-loop Box Diagrams with Masses. Y. Yuasa, E. de Doncker, N. Hamaguchi, T. Ishikawa, K. Kato, Y. Kurihara, Y. Shimizu, Computer Physics Communications 183 (2012), 2136-2144, http://www.sciencedirect.com/science/article/pii/S0010465512001877   See also archive version, http://arxiv.org/abs/1112.0637  

The GRACE Project – QCD, SUSY, Multi-loop. J. Fujimoto (presenter), N. Hamaguchi, T. Ishikawa, T. 

Kaneko, Y. Kurihara, S. Odaka, Y. Shimizu, F. Yuasa, T. Inoue, T. Koike, T. Kon, M. Jimbo, K. Kato, M. Kuroda, E. de Doncker, Proceedings of Science PoS(RADCOR2011)012  http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=145  (2011).

Numerical Approach to Multi-loop Integrals. K. Kato, E. de Doncker, N. Hamaguchi, T. Ishikawa, T. Koike, Y. Kurihara, Y. Shimizu, F. Yuasa, Proceedings of Science PoS (QFTHEP2011)029,  http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=138  (2011). 

Extrapolation Algorithms for Infrared Divergent Integrals. E. de Doncker, J. Fujimoto, N. Hamaguchi, T. 

Ishikawa, Y. Kurihara, M. Ljucovic, Y. Shimizu, F. Yuasa, Proceedings of Science PoS (CPP2010)011, http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=131 ; Cornell University Library, arXiv:1110.3587v1 [hep-ph].

 Numerical Approach to the Calculation of Feynman Loop Integrals. F. Yuasa, T. Ishikawa, Y. Kurihara, J. Fujimoto, Y. Shimizu, N. Hamaguchi, E. de Doncker, K. Kato, Proceedings of Science PoS (CPP2010)017, http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=131 (2011); Cornell University Library, arXiv:1109.4213v1 [hep-ph].

 Dimensional Recursion for Multivariate Adaptive Integration. E. de Doncker, K. Kaugars, Procedia Computer Science 1 (2010), 117-124. 

Transformation, Reduction and Extrapolation Techniques for Feynman Loop Integrals. E. de Doncker, F. Fujimoto, Y. Kurihara, T. Ishikawa, N. Hamaguchi, Y. Shimizu, F. Yuasa, In Computational Science and Its Applications - A 2010, Taniar, D. et al. (Eds.), Part II, Springer Lecture Notes in Computer Science, LNCS 6017 (2010), 139-154. 

Recursive Box and Vertex Integrations for the One-loop Hexagon Reduction in the Physical Region. E. de Doncker, F. Fujimoto, Y. Kurihara, T. Ishikawa, N. Hamaguchi, Y. Shimizu, F. Yuasa, Proceedings of Science 

PoS(ACAT2010)073, http://pos.sissa.it/archive/conferences/093/073/ACAT2010_073.pdf  

 Interdisciplinary Applications of Mathematical Modeling.  E. de Doncker, K. Kaugars, S. Li, Y. Shimizu, J.  

Fujimoto, F. Yuasa, T. Ishikawa, N. Hamaguchi, Association for Computing Machinery (ACM) Proc. ICIS2009: ISBN 978-1-60558-710-3 (2009). 

Numerical Evaluation of Feynman Integrals by a Direct Computational Method.  F. Yuasa, T. Ishikawa, J. Fujimoto, N. Hamaguchi, E. de Doncker and Y. Shimizu.  XII International Workshop on Advanced Computing and Analysis Techniques in Physics Research.  Pos(ACAT08)122 Proceedings of Science, ArXiv:0904.2823v1 [hep-ph] 18 April 2009,  http://arxiv.org/pdf/0904.2823    

 Status Report from the GRACE Group.  Y. Yasui, T. Ueda, E. de Doncker, J. Fujimoto, N. Hamaguchi, T. 

Ishikawa, Y. Shimizu and F. Yuasa.  International Colliders Workshop - LCWS 2007/ILC 2007. 

ArXiv:0710.2957v1 [hep-ph], 16 Oct 2007, http://arxiv.org/pdf/0710.2957   

Computation of Feynman Loop Integrals.  E. de Doncker, Y. Shimizu, J. Fujimoto and F. Yuasa.  Applied Mathematics and Mechanics, International Congress on Industrial and Applied Mathematics  (ICIAM 2007), PAMM,  Wiley InterScience (online) Journal, 7, 1 (2007)  (Appeared 2009).  

Precise Numerical Results of Scalar One-Loop Integrals with Infrared Divergence.  F. Yuasa, E. de Doncker, J. 

Fujimoto, N. Hamaguchi, T. Ishikawa and Y. Shimizu.  Pos(ACAT)087  Proceedings of Science, 

ArXiv:0709.0777v2 [hep-ph] 19 Sep 2007, http://arxiv.org/pdf/0709.0777   

Precise Extrapolation Results of IR-Vertex and Box Integration with Extrapolation Methods. F. Yuasa, E. de Doncker, J. Fujimoto, N. Hamaguchi and Y. Shimizu. XI International Workshop on Advanced Computing and Analysis Techniques in Physics Research – ACAT2007. 

Molecular Modeling, Ab-Initio Methods and Numerical Integration. E. de Doncker. World Scientific and Engin. Academy Trans. on Appl. Math. 6, 1 (2007), pp. 178-182. 

Error Distribution for Iterated Integrals. Elise de Doncker, Shujun Li and Karlis Kaugars, World Scientific and Engin. Academy Trans. on Appl. Math. 6, 1 (2007), pp. 86-90.  

Distributed Adaptive Multivariate Function Visualization.  Shujun Li, Karlis Kaugars and Elise de Doncker. International Journal of Computational Intelligence and Applications - IJCIA 6, 2 (2006), 273-288. 

Numerical Computation of a Non-Planar Two-Loop Vertex Diagram. E. de Doncker, Y. Shimizo, J. Fujimoto and F. Yuasa.  LoopFest V, Stanford Linear Accelerator Center, CA (June, 2006) ( http://wwwconf.slac.stanford.edu/loopfestv/proc/present/DEDONCKER.PDF ) 

Self-Replicating Turing Machines and Computer Viruses. Elise de Doncker. Artificial Life X. Workshop Proc. on Machine Self-Replication, 129-132 (2006). 

A Fast Integration Method and its Application in a Medical Physics Problem. Shujun Li, Elise de Doncker, Karlis Kaugars and Haisen Li, Springer Lecture Notes in Computer Science, LNCS 3984, Part V (2006), 789797. 

Pion:  A Problem Solving Environment for Parallel Multivariate Integration. Shujun Li, Elise de Doncker and Karlis Kaugars, Scalable Computing, Practice and Experience 7, 3 (2006), 87-94.  

ParInt Distributed qMC/MC Implementations. Elise de Doncker, Shujun Li and Laurentiu Cucos, IMACS Seminar on Monte Carlo Methods, Orlando, Fl. (2005).  

Grid Based Numerical Integration and Visualization. Shujun Li, Karlis Kaugars, Elise de Doncker, International Conference of Computational Intelligence and Multimedia Applications (ICCIMA'05) (2005), 260-265. 

On the Iterated Numerical Integration Method. Shujun Li, Elise de Doncker and Karlis Kaugars. Springer Lecture Notes in Computer Science, LNCS 3514(2005), 123-130.

Regularization and Extrapolation Methods for Infrared Divergent Loop Integrals. E. de Doncker, S. Li, Y. Shimizu, J. Fujimoto and F. Yuasa. Springer Lecture Notes in Computer Science, LNCS 3514 (2005), 165-171. 

"gRpas", A Tool for Performance Testing and Analysis. Laurentiu Cucos and Elise de Doncker. Springer Lecture Notes in Computer Science, LNCS 3514(2005), 322-329

Parallel Files Distribution. Laurentiu Cucos and Elise de Doncker. Springer Lecture Notes in Computer Science, LNCS 3516 (2005), 991.

Alpha-Load Balancing in Parallel Task Partitioning. C. Achalla, E. de Doncker, K Kaugars and J. Van Voorst. Proc. Parallel and Distributed Computing and Systems (PDCS), 719-724 (2004).  

Data Format Support for Parallel Numerical Integration. W. Ell Hajj, S. Li, K. Kaugars and E. de Doncker. Proc. Parallel and Distributed Computing and Systems (PDCS), 737-742 (2004).  

Loop Integration Results using Numerical Extrapolation for a Non-Scalar Integral. E. de Doncker, Y. Shimizo, J. Fujimoto, F. Yuasa, K. Kaugars, L. Cucos and J. Van Voorst. Nuclear Instruments and Methods in Physics Research Section A, 539 (2004), 269-273 (also hep-ph/0405098). 

 Computation of Loop Integrals using Extrapolation. E. de Doncker, Y. Shimizu, J. Fujimoto and F. Yuasa, Journal Computer Physics Communications 159(2004), 145-156. http://dx.doi.org/10.1016/j.cpc.2004.01.004  

Massive Scale Distributed Integration using Web Service. Shujun Li, Karlis Kaugars and Elise de Doncker. The Hawaii International Conference on Computer Sciences, CDROM Proceedings (2003). (Postscript)

Transformation Interface - ParInt. J. Van Voorst, A. Raju, Elise de Doncker and Karlis Kaugars. Proc. Parallel and Distributed Computing and Systems (PDCS), 702-706 (2003). (Postscript)  

Load Balancing in Distributed Adaptive Task Partitioning. Chandrasekhar Achalla, Karlis Kaugars and Elise de Doncker. Proc. Parallel and Distributed Computing and Systems (PDCS), 280-283 (2003). (Postscript) 

On a Numerical Evaluation of Loop Integrals. E. de Doncker. LoopFest II, Brookhaven National Laboratory, Upton, NY (2003). (http://quark.phy.bnl.gov/loopfest2/doncker.pdf)  

Error Bounds for the Integration of Singular Functions using Equidistributed Sequences. E. de Doncker and Y. Guan. Journal of Complexity 19, 3 (2003), 259-271. (Postscript)  

Methods for Enhancing Numerical Integration. E. de Doncker. Nuclear Instruments and Methods in Physics Research, Section A, 502 (2003), 358-363. 

On Solving Multivariate Integration Problems in Particle Physics and Nanoscience. Elise de Doncker. 5th International Congress on Industrial and Applied Mathematics (ICIAM), Sydney Australia (2003). (Abstract)  

 On the Scalable Computation of Large Sets of Integrals. Elise de Doncker, Ajay Gupta and Laurentiu Cucos. In Proc. ISCA 16th International Conference on Parallel and Distributed Systems (PDCS’03) (2003), 144-150. (pdf)  

Parallel Multivariate Integration: Paradigms and Applications. E. de Doncker, L. Cucos and R. Zanny. Joint Statistical Conferences (JSM'02) CD-ROM Proceedings (2002). (Postscript)  

Current status of the ParInt package for Parallel multivariate Integration. E. de Doncker, K. Kaugars, L. Cucos and R. Zanny. In Proc. Second Computational Particle Physics Symposium (CPP'01), 110-119 (2002). (Postscript)  

 Distributed QMC Algorithms: New Strategies and Performance Evaluation. L. Cucos and E. de Doncker. In Proc. High Performance Computing Symposium (HPC'02)/ )/ Advanced Simulation Technologies Conference, 155-159 (2002). (Postscript)

Scalability of Branch-and-Bound and Adaptive Integration. R. Zanny, K. Kaugars, and E. de Doncker. In Proc. International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'01), 674-680 (2001). (Postscript)  

Performance and Irregular Behavior of Adaptive Task Partitioning. E. de Doncker, R. Zanny, K. Kaugars, and L. Cucos. Springer Lecture Notes in Computer Science 2074 (2001), 118-127. (Postscript)  

Resource Allocation for Clusters. E. de Doncker, L. Cucos and Y. Guan. In Proc. High Performance Computing Symposium (HPC'01), 122-125 (2001). (Postscript) 

Parallel Computation of the Multivariate t-Distribution. E. de Doncker, R. Zanny, L. Cucos and A. Genz. In Proc. High Performance Computing Symposium (HPC'01), 129-134 (2001). (Postscript)  

Distributed Numerical Integration Algorithms and Applications. E. de Doncker, R. Zanny and K. Kaugars, In Proc. Fourth World Multiconference on Systemics, Cybernetics, and Informatics (SCI'00) 8, 244-249 (2000). (Abstract) (Postscript) (HTML)  

A Survey of Quantum Computing and Automata. E. de Doncker and L. Cucos, In Fourth World Multiconference on Systemics, Cybernetics, and Informatics (SCI'00) (2000). (Postscript)  

ParVis: Visualizing Distributed Dynamic Partitioning Algorithms. Kaugars, K., de Doncker, E. and Zanny, R., 

  In Proc. International Conference on and Distributed Processing Techniques and Applications (PDPTA'00),  1215-1221  (2000). (Abstract) (Postscript) (HTML)  

Work anomaly in distributed adaptive partitioning algorithms. R. Zanny and E. de Doncker. In Proc. High Performance Computing Symposium 2000 (HPC'00), 130-135 (2000). (Abstract) (Postscript) (HTML)

Asynchronous quasi Monte-Carlo methods. E. de Doncker, R. Zanny, M. Ciobanu, and Y. Guan. In Proc. High Performance Computing Symposium 2000 (HPC'00), 178-183 (2000). (Abstract) (Postscript) (HTML)  

Distributed quasi Monte-Carlo methods in a heterogeneous environment. E. de Doncker, R. Zanny, M. Ciobanu, Y. Guan. In Proc. IPDPS Heterogeneous Computing Workshop 2000, 200-206 (2000). (Abstract) (Postscript) (HTML)  

Numerical Computation of a Non-Planar Two-Loop Vertex Diagram . E. de Doncker, Y. Shimizo, J. Fujimoto and F. Yuasa. LoopFest V (http://www-conf.slac.stanford.edu/loopfestv/proc/present/DEDONCKER.PDF). Stanford Linear Accelerator Center, CA (June, 2006).

Self-Replicating Turing Machines and Computer Viruses. Elise de Doncker. Artificial Life X. Workshop Proceedings on Machine Self-Replication (2006), pp. 129-132.

A Fast Integration Method and its Application in a Medical Physics Problem. Shujun Li, Elise de Doncker, Karlis Kaugars and Haisen Li. Springer Lecture Notes in Computer Science, LNCS 3984, Part V (2006), pp. 789-797.

Grid Based Numerical Integration and Visualization. Shujun Li, Karlis Kaugars and Elise de Doncker. Proc. of the International Conference of Computational Intelligence and Multimedia Applications (ICCIMA'05) (August, 2005).

ParInt Distributed qMC/MC Implementations. Elise de Doncker, Shujun Li and Laurentiu Cucos, IMACS Seminar on Monte Carlo Methods (Abstract), Orlando, Fl. (2005).

Regularization and Extrapolation Methods for Infrared Divergent Loop Integrals. E. de Doncker, S. Li, Y. Shimizo, J. Fujimoto and F. Yuasa. Springer Lecture Notes in Computer Science, LNCS 3514 (2005), pp. 165-171.

On the Iterated Numerical Integration Method. Shujun Li, Elise de Doncker and Karlis Kaugars. Springer Lecture Notes in Computer Science, LNCS 3514 (2005), pp. 123-130.

"gRpas", A Tool for Performance Testing and Analysis. Laurentiu Cucos and Elise de Doncker. Springer Lecture Notes in Computer Science, LNCS 3514 (2005), pp. 322-329.

Parallel Files Distribution. Laurentiu Cucos and Elise de Doncker. Springer Lecture Notes in Computer Science, LNCS 3516 (2005), 991.

Alpha-Load Balancing in Parallel Task Partitioning. C. Achalla, E. de Doncker, K Kaugars and J. Van Voorst. Proc. of Parallel and Distributed Computing and Systems (PDCS) (2004), pp. 719-724.

Data Format Support for Parallel Numerical Integration. W. Ell Hajj, S. Li, K. Kaugars and E. de Doncker. Proc. of Parallel and Distributed Computing and Systems (PDCS) (2004), pp. 737-742.

Loop Integration Results using Numerical Extrapolation for a Non-Scalar Integral. E. de Doncker, Y. Shimizo, J. Fujimoto, F. Yuasa, K. Kaugars, L. Cucos and J. Van Voorst. Nuclear Instruments and Methods in Physics Research Section A, 539 (2004), pp. 269-273 (also hep-ph/0405098). (pdf)

Pion: A Problem Solving Environment for Parallel Multivariate Integration. Shujun Li, Elise de Doncker and Karlis Kaugars. Parallel and Distributed Computing Practices. Accepted (2005). (Postscript)

Computation of Loop Integrals using Extrapolation. E. de Doncker, Y. Shimizu, J. Fujimoto and F. Yuasa, Computer Physics Communications 159 (2004), 145-156. (pdf)

Multivariate Integration and Visualization with ParInt/ParVis. E. de Doncker, R. Zanny, Karlis Kaugars and L. Cucos (2004). (pdf)

Massive Scale Distributed Integration using Web Service. Shujun Li, Karlis Kaugars and Elise de Doncker. The Hawaii International Conference on Computer Sciences, CDROM Proceedings (2003). (Postscript)

Transformation Interface - ParInt. J. Van Voorst, A. Raju, Elise de Doncker and Karlis Kaugars. Proc. of Parallel and Distributed Computing and Systems (PDCS) (2003), pp. 702-706. (Postscript)

Load Balancing in Distributed Adaptive Task Partitioning. Chandrasekhar Achalla, Karlis Kaugars and Elise de Doncker. Proc. of Parallel and Distributed Computing and Systems (PDCS) (2003), pp. 280-283. (Postscript)

On a Numerical Evaluation of Loop Integrals. E. de Doncker. LoopFest II, Brookhaven National Laboratory, Upton, NY (2003). (http://quark.phy.bnl.gov/loopfest2/doncker.pdf)

Error Bounds for the Integration of Singular Functions using Equidistributed Sequences. E. de Doncker and Y. Guan. Journal of Complexity, 19, 3, (2003), 259-271. (Postscript)

Methods for Enhancing Numerical Integration. E. de Doncker. Nuclear Instruments and Methods in Physics Research, Section A, 502 (2003), 358-363. Available from NIMA.

On Solving Multivariate Integration Problems in Particle Physics and Nanoscience. Elise de Doncker. 5th International Congress on Industrial and Applied Mathematics (ICIAM), Sydney Australia (2003). (Abstract)

On the Scalable Computation of Large Sets of Integrals. Elise de Doncker, Ajay Gupta and Laurentiu Cucos. In Proc. of the ISCA 16th International Conference on Parallel and Distributed Systems (PDCS 2003), pp. 144-150 (2003) (pdf)

Parallel Global Adaptive Integration and Dynamic Load Balancing on Loosely Coupled Systems. Ignatios Vakalis and Elise de Doncker. In Proc. of the 2003 ACM Symposium on Applied Computing (SAC 2003), pp. 554-561 (1993).

Parallel Multivariate Integration: Paradigms and Applications. E. de Doncker, L. Cucos and R. Zanny. Joint Statistical Conferences (JSM'02) CD-ROM Proceedings (2002). (Postscript)

Current status of the ParInt package for Parallel multivariate Integration. E. de Doncker, K. Kaugars, L. Cucos and R. Zanny. In Proceedings of the Second Computational Particle Physics Symposium (CPP'01), pp. 110-119 (2002). (Postscript)

Distributed QMC Algorithms: New Strategies and Performance Evaluation. L. Cucos and E. de Doncker. In Proceedings of the High Performance Computing Symposium (HPC'02)/ Advanced Simulation Technologies Conference, pp. 155-159 (2002). (Postscript)

Scalability of Branch-and-Bound and Adaptive Integration. R. Zanny, K. Kaugars, and E. de Doncker. In Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'01), pp. 674-680 (2001). (Postscript)

Performance and Irregular Behavior of Adaptive Task Partitioning. E. de Doncker, R. Zanny, K. Kaugars, and L. Cucos. Springer Lecture Notes in Computer Science 2074 (2001), pp. 118-127. (Postscript)

Resource Allocation for Clusters. E. de Doncker, L. Cucos and Y. Guan. In Proc. of the High Performance Computing Symposium (HPC'01), pp. 122-125 (2001). (Postscript)

Parallel Computation of the Multivariate t-Distribution. E. de Doncker, R. Zanny, L. Cucos and A. Genz. In Proc. of the High Performance Computing Symposium (HPC'01), pp. 129-134 (2001). (Postscript)

Distributed Numerical Integration Algorithms and Applications. E. de Doncker, R. Zanny and K. Kaugars, In Fourth World Multiconference on Systemics, Cybernetics, and Informatics (SCI'00), (2000), Vol. 8, pp. 244-249. (Abstract) (Postscript) (HTML)

A survey of quantum computing and automata. E. de Doncker and L. Cucos, In Fourth World Multiconference on Systemics, Cybernetics, and Informatics (SCI'00), (2000). (Postscript)

ParVis: Visualizing Distributed Dynamic Partitioning Algorithms. Kaugars, K., de Doncker, E. and Zanny, R., In Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'00), pp. 1215-1221 (2000). (Abstract) (Postscript) (HTML)

Work anomaly in distributed adaptive partitioning algorithms. R. Zanny and E. de Doncker. In Proceedings of the High Performance Computing Symposium 2000 (HPC'00), pp. 130-135 (2000). (Abstract) (Postscript) (HTML)

Asynchronous quasi Monte-Carlo methods. E. de Doncker, R. Zanny, M. Ciobanu, and Y. Guan. In Proceedings of the High Performance Computing Symposium 2000 (HPC'00), pp. 178-183 (2000). (Abstract) (Postscript) (HTML)

Distributed quasi Monte-Carlo methods in a heterogeneous environment. E. de Doncker, R. Zanny, M. Ciobanu, Y. Guan. Proceedings of the IPDPS Heterogeneous Computing Workshop 2000, pp. 200-206, (2000). (Abstract) (Postscript) (HTML)

A New Paradigm for Scientific Visualization. Elise de Doncker and Karlis Kaugars. Proc. of the Int. Conf. On Parallel Processing Techniques and Applications (PDPTA), pp. 1384-1389 (1999). (Postscript)

Parallel Computation of Multivariate Normal Probabilities. Elise de Doncker, Alan Genz and Manuel Ciobanu. Computing Science  and Statistics 30 (1999). (Postscript)

Dynamic Visualization of Computations on the Internet. Jie Li and Elise de Doncker. Springer Lecture Notes in Computer Science, 1593 (1999), pp. 360-369. (Postscript)

Large Scale Parallel Numerical Integration. E. de Doncker, A. Gupta and R. Zanny. Journal of Computational and Applied Mathematics, 112 (1999). (Postscript)

Multivariate Integration on Hypercubic and Mesh Networks. E. de Doncker and A. Gupta. Parallel Computing 24 (1998), pp. 1223-1244. (Postscript)

Extrapolation in Distributed Adaptive Integration. E. de Doncker, A. Gupta, R. Zanny and J. Maile. In Proceedings of the International Conference on High Performance Computing (HiPC'98). (Postscript)

Adaptive Integration Using Evolutionary Strategies. E. de Doncker, A. Gupta and G. Greenwood. Proc. of the International Conference on High Performance Computing (HiPC '96) (Best paper award).

Experience with the Yeremin Algorithm on IBM-SPx. E. de Doncker and A. Gupta. Proc. of the SUP'EUR 96 Conference (1996). (Postscript)

Preconditioned Conjugate Gradient Solver for Large Sparse Systems on MPI. E. de Doncker, A. Gupta, P. Ealy and J. Ball. Proc. of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'96), Ed. H. R. Arabnia (1996).

Two methods for Load Balanced Distributed Integration. Elise de Doncker, Ajay Gupta and Patricia Ealy. Lecture Notes in Computer Science 1067, High-Performance Computing and Networking, Eds. H. Liddell, A. Colbrook, B. Hertzberger and P. Sloot, Springer Verlag, pp. 562-570 (1996).

Parallel Adaptive Integration for Finite Element Type and Other Problems. E. de Doncker and A. Gupta. Proc. of the High Performance Computing Symposium (HPC96), Ed. A. Tentner, pp. 238-243 (1996).

ParInt: A Software Package for Parallel Integration. E. de Doncker, A. Gupta, J. Ball, P. Ealy and A. Genz. Proc. of the 10th ACM International Conference on Supercomputing, pp. 149-156 (1996). (Postscript)

Use of ParInt for Parallel Computation of Statistics Integrals. Elise de Doncker, Ajay Gupta, Alan Genz, P. Ealy, J. Liu and A. Sureka. Computing Science and Statistics 27 (1996).

Singular Integral Computation with ParInt. J. Ball, E. de Doncker, A. Gupta, and P. Ealy. Proc. of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'95), Ed. H. R. Arabnia, pp. 23-30 (1995).

Development of a Parallel and Distributed Integration Package. Elise de Doncker, Ajay Gupta, Patricia Ealy and Kyle Rathbun. Lecture Notes in Computer Science 919, High-Performance Computing and Networking, Eds. B. Hertzberger and G. Serazzi, Springer-Verlag, pp. 229-234 (1995).

Adaptive Integration of Singular Functions over a Triangularized Region on a Distributed System. R. Cari&ntildeo, I. Robinson and E. de Doncker. Proc. of the 7th SIAM Conf. on Parallel Processing for Scientific Computing, Ed. R. Schreiber, pp. 273-278 (1995).

Coarse Grain Preconditioned Conjugate Gradient Solver for Large Sparse Systems. E. de Doncker and A. Gupta. Proc. of the 7th SIAM Conf. on Parallel Processing for Scientific Computing, Ed. R. Schreiber, pp. 472-477 (1995).

Distributed and Adaptive Integration: Algorithms and Analysis. E. de Doncker and A. Gupta. Proc. of Transputers 94, Eds. M. Becker, L. Litzler and M. Trehel, IOS Press, pp. 266-277 (1994).

The Singularity Deferred Approach to the Limit. Elise de Doncker. Proc. of the International Symposium on Trends and Developments of Ordinary Differential Equations. Eds. Y. Alavi and P. Hsieh, World Scientific, pp. 37-47 (1993).

Lanczos Methods for the Smallest Eigenvalues of Large Matrices on Distributed Memory Supercomputers. J. Kapenga and E. de Doncker. Proc. of the 6th SIAM Conf. on Parallel Processing for Scientific Computing, Eds. R. F. Sincovic, D. E. Keyes, M. R. Leuze, L. R. Petzold and D. A. Reed, SIAM, pp. 497-500 (1993).

Convergence Results and Speedup of Parallel Numerical Integration Algorithms. E. de Doncker and I. Vakalis. Proc. of the 6th SIAM Conf. on Parallel Processing for Scientific Computing, Eds. R. F. Sincovic, D. E. Keyes, M. R. Leuze, L. R. Petzold and D. A. Reed, SIAM, pp. 539-545 (1993).

Parallel Algorithms for Radiosity. E. de Doncker, J. Kapenga, C. Oliver and A. Mittal. Proc. of the 6th SIAM Conf. on Parallel Processing for Scientific Computing, Eds. R. F. Sincovic, D. E. Keyes, M. R. Leuze, L. R. Petzold and D. A. Reed, SIAM, pp. 1019-1024 (1993).

Adaptive Cubature over a Collection of Triangles using the $d$-Transformation. Ricolindo Carin&ntildeo, Ian Robinson and Elise de Doncker. J. Comp. and Appl. Math. 50, pp. 171-183 (1994).

On Quadrature Error Expansions. II. The Full Corner Singularity. J.N. Lyness and E. de Doncker. Numerische Mathematik 64, pp. 355-370 (1993).

A Parallel Global Adaptive Algorithm for Integration over the N-Dimensional Simplex on Shared Memory Machines. I. Vakalis and E. de Doncker. Proc. of EWPC'92, the European Workshops on Parallel Computing, Sitges-Barcelona, Spain, March 1992, pp. 574-577 (1992).

An Algorithm for Automatic Integration of Certain Singular Functions over a Triangle. R. Carino, I. Robinson and E. de Doncker. Proc. of the NATO Advanced Research Workshop on Numerical Integration, Bergen, Norway, June 1991, pp. 295-304 (1992).

Parallel Quadrature on Loosely Coupled Systems. E. de Doncker (invited speaker) and J. Kapenga, NATO ASI Series C: Mathematical and Physical Sciences, pp. 317-327 (1992).

(Book:) ``Computing in the 90s - First Great Lakes Computer Science Conference". N. Sherwani, E. de Doncker and J. Kapenga (Eds.). Springer Lecture Notes in Computer Science, Vol. 507 (1991).

Parallel Systems and Adaptive Integration. E. de Doncker and J.A. Kapenga, Contemporary Mathematics. Vol. 115, Statistical Multiple Integration, pp. 33-51 (1991).

Filtering with Neural Models. E. de Doncker, J.A. Kapenga and R. Trenary. Proceedings of the "International Symposium on the Mathematical Theory of Networks and Systems (MTNS-89)", June 1989, Amsterdam (1990), pp. 165-179.

Parallelization of Toeplitz Solvers. E. de Doncker and J.A. Kapenga. In "NATO Advanced Study Institute on Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms", Eds. P. Vandooren and G. Golub, NATO ASI Series, Series F: Computer and Systems Sciences, Vol. 70 (1991), pp. 467-476.

Robust Projection Pursuit. E. de Doncker, J. Kapenga and J. Mckean. Computing Science and Statistics, Vol. 21 (1989), pp. 308-313.

Models for the Duo-Trio and Triangular Methods. K. Mullen, D. M. Ennis, E. de Doncker and J. A. Kapenga. Biometrics 44 (1988), pp. 1169-1175.

The Symmetric Tridiagonal Eigenproblem on a Custom Linear Array and Hypercubes. E. de Doncker, J.A. Kapenga and P. Dewilde. In "SVD and Signal Processing - Algorithms, Applications and Architectures", Ed. E.F. Deprettere, North-Holland, Elseviers Publishers (1988), pp. 385-406.

A Parallelization of Adaptive Task Partitioning Algorithms. J.A. Kapenga and E. de Doncker. Parallel Computing 7 (1988), pp. 211-225.

Concurrent Management of Priority Queues for Adaptive Algorithms. J.A. Kapenga and E. de Doncker. Proc. of the "Third SIAM Conf. on Parallel Processing for Scientific Computing", Los Angeles (Dec. 1987), pp. 347-351.

A Portable Parallel Algorithm for Multivariate Numerical Integration and Its Performance Analysis. E. de Doncker and J.A. Kapenga. Proc. of the "Third SIAM Conf. on Parallel Processing for Scientific Computing", Los Angeles (Dec. 1987), pp. 109-113.

The Integration of the Multivariate Normal Density Function for the Triangular Method. J.A. Kapenga, E. de Doncker, K. Mullen and D.M. Ennis. In "Numerical Integration, Recent Developments, Software and Applications", Eds. P. Keast and G. Fairweather, NATO ASI Series C: Mathematical and Physical Sciences 203 (1987), pp. 321-328.

Parallelization of Adaptive Integration Methods. E. de Doncker and J.A. Kapenga. In "Numerical Integration, Recent Developments, Software and Applications", Eds. P. Keast and G. Fairweather, NATO ASI Series C: Mathematical and Physical Sciences 203 (1987), pp. 207-218.

Asymptotic Expansions and their Applications in Numerical Integration. E. de Doncker. In "Numerical Integration, Recent Developments, Software and Applications", Eds. P. Keast and G. Fairweather, NATO ASI Series C: Mathematical and Physical Sciences 203 (1987), pp. 141-152.

On Quadrature Error Expansions - Part I. J.N. Lyness and E. de Doncker. Journal of Computational and Applied Mathematics 17 (1987), pp. 131-149.

TRIEX: Integration over a TRIangle using Nonlinear EXtrapolation E. de Doncker and I. Robinson. ACM Trans. Math. Softw. 10 (1984), 17-22.

An Algorithm for Automatic Integration over a Triangle using Nonlinear Extrapolation. E. de Doncker and I. Robinson. ACM Trans. Math. Softw. 10 (1984), 1-16.

(Book:) QUADPACK - A Subroutine Package for Automatic Integration. R. Piessens, E. de Doncker, D. K. Kahaner and C. W. Überhuber. Springer Series in Computational Mathematics I, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo (1983).

Interactive Database Management for Integrated Circuit Design on the UNIX Operating System. E. de Doncker, P. Dewilde, J.T. Fokkema, R. Sennema and K. J. Singh. Proc. of the "IEEE 1982 International Conference on Circuits and Computers" (IEEE/ICCC-82), New York (Sept. 29 - Oct. 1, 1982), 520-523.

Contribution to the D01 Chapter Documentation, NAG Library. R. Piessens, E. de Doncker, D. K. Kahaner and C. W. Überhuber. NAG Library Manual, D01, introduced at Mark 8 (1981).

Algorithm 45 - Automatic Computation of Improper Integrals over a Bounded or Unbounded Planar Region. I. Robinson and E. de Doncker. Computing 27 (1981), 253-284.

Algorithm 022 - Automatic Integration over a Sphere. D. Roose and E. de Doncker. Journal of Computational and Applied Mathematics 7 (1981), 203-224.

New Euler-Maclaurin Expansions and their Applications to Quadrature over the s-Dimensional Simplex. E. de Doncker. Math. Comp. 33 (1979), 1003-1018.

An Adaptive Extrapolation Algorithm for Automatic Integration. E. de Doncker. Signum Newsletter 13 (1978), 12-18.

Bibl. 005 - A Bibliography on Automatic Integration. E. de Doncker and R. Piessens. Journal of Computational and Applied Mathematics 2 (1976), 273-280.

Algorithm 32 - Automatic Computation of Integrals with Singular Integrand, over a Finite or an Infinite Range. E. de Doncker and R. Piessens. Computing 17 (1976), 265-279.

On the Broadening and Shift of Spectral Lines. W. van Rensbergen, E. de Doncker and G. Deridder. Solar Physics 40 (1975), 303-315.