High-order accurate difference potentials methods for parabolic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.08.002 ◽

2015 ◽

Vol 93 ◽

pp. 87-106 ◽

Author(s):

Jason Albright ◽

Yekaterina Epshteyn ◽

Kyle R. Steffen

Keyword(s):

Parabolic Problems ◽

Difference Potentials

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High-Order Finite Element Methods for Singularly-Perturbed Elliptic and Parabolic Problems.

10.21236/ada290410 ◽

1993 ◽

Author(s):

Slimane Adjerid ◽

Mohammed Aiffa ◽

Joseph E. Flaherty

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Singularly Perturbed ◽

Parabolic Problems

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High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01507-x ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Yilei Shi ◽

Shusen Xie ◽

Dong Liang ◽

Kai Fu

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139993269345 ◽

1995 ◽

Vol 55 (2) ◽

pp. 520-543 ◽

Author(s):

Slimane Adjerid ◽

Mohammed Aiffa ◽

Joseph E. Flaherty

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Singularly Perturbed ◽

Parabolic Problems

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Algorithms composition approach based on difference potentials method for parabolic problems

Communications in Mathematical Sciences ◽

10.4310/cms.2014.v12.n4.a7 ◽

2014 ◽

Vol 12 (4) ◽

pp. 723-755 ◽

Author(s):

Yekaterina Epshteyn

Keyword(s):

Parabolic Problems ◽

Difference Potentials

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High-order methods for parabolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(75)90002-9 ◽

1975 ◽

Vol 1 (1) ◽

pp. 5-16 ◽

Author(s):

O. Axelsson

Keyword(s):

Parabolic Problems ◽

High Order Methods

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Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials

Journal of Computational Physics ◽

10.1016/j.jcp.2017.10.049 ◽

2018 ◽

Vol 354 ◽

pp. 26-42 ◽

Author(s):

S. Britt ◽

S. Tsynkov ◽

E. Turkel

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Order Difference ◽

Difference Potentials

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High-order accurate methods based on difference potentials for 2D parabolic interface models

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n4.a4 ◽

2017 ◽

Vol 15 (4) ◽

pp. 985-1019 ◽

Author(s):

Jason Albright ◽

Yekaterina Epshteyn ◽

Qing Xia

Keyword(s):

Difference Potentials ◽

Interface Models

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Erratum to: The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes

Journal of Scientific Computing ◽

10.1007/s10915-012-9638-z ◽

2012 ◽

Vol 53 (2) ◽

pp. 482-482 ◽

Author(s):

M. Medvinsky ◽

S. Tsynkov ◽

E. Turkel

Keyword(s):

Helmholtz Equation ◽

Difference Potentials ◽

High Order Schemes

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The Method of Difference Potentials for the Helmholtz Equation Using Compact High Order Schemes

Journal of Scientific Computing ◽

10.1007/s10915-012-9602-y ◽

2012 ◽

Vol 53 (1) ◽

pp. 150-193 ◽

Author(s):

M. Medvinsky ◽

S. Tsynkov ◽

E. Turkel

Keyword(s):

Helmholtz Equation ◽

Difference Potentials ◽

High Order Schemes

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High-order evolving surface finite element method for parabolic problems on evolving surfaces

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx013 ◽

2017 ◽

Vol 38 (1) ◽

pp. 430-459 ◽

Author(s):

Balázs Kovács

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Problems ◽

Evolving Surface ◽

Evolving Surfaces ◽

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