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Mathematics of Computation

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The 2020 MCQ for Mathematics of Computation is 1.98.

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The weighted particle method for convection-diffusion equations. I. The case of an isotropic viscosity
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by P. Degond and S. Mas-Gallic PDF
Math. Comp. 53 (1989), 485-507 Request permission

Abstract:

The aim of this paper is to present and study a particle method for convection-diffusion equations based on the approximation of diffusion operators by integral operators and the use of a particle method to solve integro-differential equations described previously by the second author. The first part of the paper is concerned with isotropic diffusion operators, whereas the second part will consider the general case of a nonconstant matrix of diffusion. In the former case, the approximation of the diffusion operator is much simpler than in the general case. Furthermore, we get two possibilities of approximations, depending on whether or not the integral operator is positive.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 485-507
  • MSC: Primary 65M99
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0983559-9
  • MathSciNet review: 983559