Computer Algebra in Simulation Code Development
Richard Liška · 1992
The majority of large-scale scientific computation prob-lems fall into the area of numerical simulations of real world systems. Such systems are usually described by a mathematical model in the form of a system of par-tial differential equations (PDEs) which are solvable only numerically. The productivity of particular numerical PDEs solver development can be increased by using spe-cial program tools. Such tools are usually implemented in a computer algebra system. The FIDE package in-cludes several tools performing such tasks as PDEs dis-cretization, analysis of difference schemes and generation of numerical code for difference schemes solving. Capa-bihty of using the package for a real hard simulation problem is illustrated. Possibilities to enlarge the abili-ties of such tools and to incorporate artificial intelligence methods in the presented methodology are discussed.