Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative-Reference-Cited by-同舟云学术

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Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative

Published:2017-09-22 Issue:2 Volume:34 Page:501-517
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Frenander Hannes¹^ORCID,Nordström Jan¹

Affiliation:

1. Department of Mathematics; Computational Mathematics, Linköping University; Linköping SE-581 83 Sweden

Funder

Swedish e-science Research Center (SeRC)

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference12 articles.

1. Absorbing boundary conditions for the numerical simulation of waves;Engquist;Math. Comput.,1977

2. Discretely non-reflecting boundary conditions for linear hyperbolic systems;Rowley;J. Comput. Phys.,2000

3. Stable and accurate artificial dissipation;Mattsson;J. Sci. Comput.,2004

4. Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation;Nordström;J. Sci. Comput.,2005

5. Review of summation-by-parts schemes for initial-boundary-value problems;Svärd;J. Comput. Phys.,2014

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1. Stable and Accurate Filtering Procedures;Journal of Scientific Computing;2020-01

2. Finite difference schemes with transferable interfaces for parabolic problems;Journal of Computational Physics;2018-12

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