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Journal of Computational Physics
Article . 2005 . Peer-reviewed
License: Elsevier TDM
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zbMATH Open
Article . 2005
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A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

Authors: Gibou, Frédéric; Fedkiw, Ronald;

A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

Abstract

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Keywords

Finite difference methods for boundary value problems involving PDEs, numerical examples, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, finite difference, heat equation, Heat equation, Finite difference methods applied to problems in thermodynamics and heat transfer, Laplace equation, Stefan problem, Stefan problems, phase changes, etc., implicit time discretization, Crank-Nicolson method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Free boundary problems for PDEs

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    189
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
189
Top 1%
Top 1%
Top 10%
bronze