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Selected publications

• Molecular Modeling, Ab-Initio Methods and Numerical Integration. E. de Doncker. Accepted for publication (2006).
• Error Distributions for Iterated Integrals. Elise de Doncker and Shujun Li. Accepted for publication (2006).
• A Survey of Numerical Integration and Extrapolation Methods for Feynman Loop Integrals. E. de Doncker, K. Kaugars, Y. Shimizo, J. Fujimoto and F. Yuasa. Accepted for book chapter in "New Research on Computer Physics" (2006).
• Distributed Adaptive Multivariate Function Visualization. Shujun Li, Elise de Doncker and Karlis Kaugars. International Journal of Computational Intelligence and Applications (IJCIA). To Appear (2006).
• 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. Journal of Concurrency and Computation: Practice and Experience. Under review (2004). (Postscript)
• 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.