Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

Peter Benner; Venera Khoromskaia; Boris Khoromskij; Cleophas Kweyu; Matthias Stein

doi:10.1137/19m1281435

Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

SIAM Journal on Scientific Computing ◽

10.1137/19m1281435 ◽

2021 ◽

Vol 43 (1) ◽

pp. A415-A445

Author(s):

Peter Benner ◽

Venera Khoromskaia ◽

Boris Khoromskij ◽

Cleophas Kweyu ◽

Matthias Stein

Keyword(s):

Source Terms ◽

Singular Source ◽

Poisson Boltzmann

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Finite difference methods for discretizing singular source terms in a Poisson interface problem

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena - Contemporary Mathematics ◽

10.1090/conm/526/10389 ◽

2010 ◽

pp. 359-389 ◽

Cited By ~ 2

Author(s):

John D. Towers

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Interface Problem ◽

Source Terms ◽

Singular Source ◽

Difference Methods

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Regularization Techniques for Singular Source Terms in Differential Equations

European Congress of Mathematics Stockholm, June 27 – July 2, 2004 ◽

10.4171/009-1/29 ◽

2009 ◽

pp. 477-500

Author(s):

Anna-Karin Tornberg

Keyword(s):

Differential Equations ◽

Source Terms ◽

Regularization Techniques ◽

Singular Source

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On the numerical solution of hyperbolic equations with singular source terms

10.1063/1.4893863 ◽

2014 ◽

Cited By ~ 1

Author(s):

Irfan Turk ◽

Maksat Ashyraliyev

Keyword(s):

Numerical Solution ◽

Hyperbolic Equations ◽

Source Terms ◽

Singular Source

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Numerical approximations of singular source terms in differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2004.04.011 ◽

2004 ◽

Vol 200 (2) ◽

pp. 462-488 ◽

Cited By ~ 176

Author(s):

Anna-Karin Tornberg ◽

Björn Engquist

Keyword(s):

Differential Equations ◽

Source Terms ◽

Numerical Approximations ◽

Singular Source

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On the numerical solution of advection-diffusion problems with singular source terms

10.1063/1.5049055 ◽

2018 ◽

Author(s):

Ezgi Soykan ◽

Mehmet Ahlatcioglu ◽

Maksat Ashyraliyev

Keyword(s):

Numerical Solution ◽

Source Terms ◽

Advection Diffusion ◽

Singular Source ◽

Diffusion Problems

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Meshfree modelling of 3-D controlled-source EM data: A new method to treat the singular source terms

10.1190/segam2019-3205418.1 ◽

2019 ◽

Author(s):

Jianbo Long ◽

Colin G. Farquharson

Keyword(s):

New Method ◽

Source Terms ◽

Controlled Source ◽

Singular Source

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Existence of positive solutions of a class of multi-point boundary value problems for p-Laplacian fractional differential equations with singular source terms

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.12.021 ◽

2019 ◽

Vol 72 ◽

pp. 272-281 ◽

Cited By ~ 8

Author(s):

KumSong Jong ◽

HuiChol Choi ◽

YongHyok Ri

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Fractional Differential Equations ◽

Boundary Value ◽

Point Boundary ◽

Source Terms ◽

Existence Of Positive Solutions ◽

Singular Source ◽

Fractional Differential

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On the numerical solution of diffusion–reaction equations with singular source terms

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.04.017 ◽

2008 ◽

Vol 216 (1) ◽

pp. 20-38 ◽

Cited By ~ 6

Author(s):

M. Ashyraliyev ◽

J.G. Blom ◽

J.G. Verwer

Keyword(s):

Numerical Solution ◽

Diffusion Reaction ◽

Source Terms ◽

Singular Source ◽

Reaction Equations

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Nonlinear Free Boundary Problems with Singular Source Terms

Monatshefte für Mathematik ◽

10.1007/s00605-004-0244-5 ◽

2004 ◽

Vol 142 (1-2) ◽

pp. 7-16

Author(s):

A. Hakobyan ◽

A. Karakhanyan

Keyword(s):

Free Boundary ◽

Free Boundary Problems ◽

Source Terms ◽

Boundary Problems ◽

Singular Source

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Geometric discretization of the multidimensional Dirac delta distribution – Application to the Poisson equation with singular source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2017.06.003 ◽

2017 ◽

Vol 346 ◽

pp. 71-90 ◽

Cited By ~ 1

Author(s):

Raphael Egan ◽

Frédéric Gibou

Keyword(s):

Poisson Equation ◽

Source Terms ◽

Dirac Delta ◽

Delta Distribution ◽

The Poisson Equation ◽

Singular Source

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