Abstract
A multivariate integration method based on the quasi-Monte Carlo method which alleviates the problem of domain discretization has been implemented for computing particular solutions of Poisson’s equation. Coupled with the method of fundamental solutions, a simpler and versatile technique, we have demonstrated a simple computational method which provides means of shifting the effort from analyst to computer. For illustration, we give three numerical examples for a set of standard problems and compare results of different methods.
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© 1995 Springer-Verlag New York, Inc.
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Chen, C.S. (1995). The Method of Fundamental Solutions and the Quasi-Monte Carlo Method for Poisson’s Equation. In: Niederreiter, H., Shiue, P.JS. (eds) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing. Lecture Notes in Statistics, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2552-2_8
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DOI: https://doi.org/10.1007/978-1-4612-2552-2_8
Publisher Name: Springer, New York, NY
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