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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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A finite element method for time-dependent convection-diffusion equations
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by Gerard R. Richter PDF
Math. Comp. 54 (1990), 81-106 Request permission

Abstract:

We present a finite element method for time-dependent convection-diffusion equations. The method is explicit and is applicable with piecewise polynomials of degree $n \geq 2$. In the limit of zero diffusion, it reduces to a recently analyzed finite element method for hyperbolic equations. Near optimal error estimates are derived. Numerical results are given.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 54 (1990), 81-106
  • MSC: Primary 65N30; Secondary 76-08, 76Rxx
  • DOI: https://doi.org/10.1090/S0025-5718-1990-0993932-9
  • MathSciNet review: 993932