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- W337401394 abstract "A Mathematica package to deal with a system of partial differential equations (PDEs) is presented. This package usesexplicit finite−difference schemes to handle equations in an arbitrary number of variables that are functions of onespatial variable and time. The code has the flexibility to incorporate any difference approximation specified by theuser, and transforms the given system of PDEs into a system of difference equations that can be iteratively solved using the discretized forms of initial and boundary conditions. The iteration is made considerably faster by converting the Mathematica code into an optimized C++ code using the MathCode C++ compiler[1]. Examples are presented in which the generated C++ code runs about a thousand times faster than the Mathematica code." @default.
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- W337401394 date "1999-01-01" @default.
- W337401394 modified "2023-09-27" @default.
- W337401394 title "Transforming Systems of PDEs for Efficient Numerical Solution" @default.
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