Automatic synthesis of numerical codes for solving partial differential equations

Mathematics and Computers in Simulation

Volumn 45, Issue 1-2, 1998, Pages 3-22

  Akers, Robert L ^a   Baffes, Paul ^a   Kant, Elaine ^a   Randall, Curt ^a   Steinberg, Stanly ^a,b   Young, Robert L ^a  

^a SciComp Inc Texas   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; BOUNDARY VALUE PROBLEMS; C (PROGRAMMING LANGUAGE); COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FORTRAN (PROGRAMMING LANGUAGE); MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

COMPUTER ALGEBRA; SOFTWARE PACKAGE SCINAPSE;

COMPUTER SOFTWARE;

EID: 0031648429     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(97)00082-7     Document Type: Article

References (9)

1. R. Barrett, M. Berry, T.F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, H. van der Vorst, Templates for the Solution of Linear System: Building Blocks for Iterative Methods, SIAM, Philadelphia, 1994.
2. C.T. Kelley, Iterative Methods for Linear and Nonlinear Equations, Frontiers in Applied Mathematics, SIAM, Philadelphia, 1995.
3. E. Gallopoulos, E. Houstis, J.R. Rice (Eds.), Problem-Solving Environments for Computational Science Computational Science and Engineering, 1 (Summer 1994), 11-23.
4. E. Houstis, J. Rice, R. Vichnevetsky, Proceedings of the Third International Conference on Expert Systems for Scientific Computing, Mathematics and Computers in Simulation, North-Holland, 36, 1994.
5. E. Houstis, R. Bramley, E. Gallopoulos (Eds.), Problem-Solving Environments for Scientific Computing, to appear in Fall, 1997.
6. PSE WWW Site, http://www.cs.purdue.edu/research/cse/pses/.
7. S. Wolfram, Mathematica, A System for Doing Mathematics by Computer, Addison-Wesley, Reading, 1991.
8. E. Kant, Synthesis of mathematical modeling software, IEEE Software 10(3) (1993) 30-41.
9. C. Randall, E. Kant, S. Kostek, Automatic Synthesis of Financial Modeling Codes, Proceedings of the First Annual Computational Finance Conference, International Association of Financial Engineers, Stanford, CA, August 23, 1996.