Papers and Other Contributions

Submitted Work & Work in Preparation

J. de Kleine, M. B. Monagan and A. D. Wittkopf, Algorithms for the Non-monic case of the Sparse Modular GCD Algorithm, Submitted to 2005 International Symposium on Symbolic and Algebraic Computation (ISSAC).

G. J. Reid, J. Verschelde, A. D. Wittkopf and W. Wu, Symbolic-Numeric Completion of Differential Systems by Homotopy Continuation, Submitted to 2005 International Symposium on Symbolic and Algebraic Computation (ISSAC).

Refereed Publications

K. Hazaveh, D.J. Jeffrey, G.J. Reid, S.M. Watt and A.D. Wittkopf (2003), An exploration of homotopy solving in Maple, Proc. of the Sixth Asian Symp. on Computer Math. (ASCM). Lect. Notes Series on Computing by World Sci. Publ. 10, edited by Z. Li and W. Sit (Singapore/River Edge, USA) 145-162.

A. D. Wittkopf and G. J. Reid, Fast Differential Elimination in C: The CDiffElim Environment, Computer Physics Communications (2001) 139 192-217.
http://wayback.cecm.sfu.ca/~wittkopf/files/DiffElim.ps.gz

G. J. Reid, P. Lin, and A. D. Wittkopf, Differential-Elimination Completion Algorithms for DAE and PDAE, Studies in Applied Mathematics (2001) 106(1) 1-45.
http://wayback.cecm.sfu.ca/~wittkopf/files/ReidLinWittkopf96.ps.gz

G.J. Reid and A.D. Wittkopf (2000), Determination of Maximal Symmetry Groups of Classes of Differential Equations, in Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation (ISSAC), edited by C. Traverso, 272-280 (ACM Press, New York).

M.B. Monagan and A.D. Wittkopf (2000), On the Design and Implementation of Brown's Algorithm over the Integers and Number Fields in Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation (ISSAC), edited by C. Traverso, 225-233 (ACM Press, New York).

C.J. Rust, G.J. Reid and A.D. Wittkopf (1999), Existence and Uniqueness Theorems for Formal Power Series Solutions of Analytic Differential Systems, in Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation (ISSAC), edited by S. Dooley 105-112 (ACM Press, New York).

G. J. Reid, A. D. Wittkopf and A. Boulton (1996), Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Eur. J. of Appl. Math. (1996) 7 604 - 635.
http://wayback.cecm.sfu.ca/~wittkopf/files/iam94-14.ps.gz

G. J. Reid, D. T. Weih and A. D. Wittkopf (1993), A point symmetry group of a differential equation which can not be found using infinitesimal methods, in Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, edited by N.H. Ibragimov, M. Torrisi and A. Valenti, (1993) 311-316 (Kluwer Academic Publishers, Amsterdam).

G. J. Reid, I. G. Lisle, A. Boulton and A. D. Wittkopf (1992), Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs, in Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation (ISSAC), edited by P. S. Wang, 63-68 (ACM Press, New York).

Other Contributions

A. D. Wittkopf (2004), Algorithms and Implementations for Differential Elimination. PhD. Thesis, Simon Fraser University, Burnaby, British Columbia, Canada. Advisors: Dr. Michael Monagan, Dr. G. J. Reid
http://wayback.cecm.sfu.ca/~wittkopf/files/phdthesis.ps.gz

A. D. Wittkopf and G. J. Reid, Fast Differential Elimination Algorithms, Technical Report TR-00-06 at the Ontario Research Centre for Computer Algebra (2000).
http://wayback.cecm.sfu.ca/~wittkopf/files/WittkopfReid99.ps.gz

A. D. Wittkopf (1994), High Order Wide and Compact Schemes for the Steady Incompressible Navier-Stokes Equations. MSc. Thesis, Simon Fraser University, Burnaby, British Columbia, Canada. Advisor: Dr. Tao Tang http://wayback.cecm.sfu.ca/~wittkopf/files/mscthesis.ps.gz

G. J. Reid and A. D. Wittkopf (1993), Long Guide to the Standard Form Package. This 90 page manual gives a detailed guide to the use of our programs. Programs and manual are available at
http://wayback.cecm.sfu.ca/~wittkopf/standardform.html.