Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations

BIT Numerical Mathematics ◽

10.1007/s10543-020-00817-0 ◽

2020 ◽

Author(s):

Xiao Li ◽

Lili Ju ◽

Thi-Thao-Phuong Hoang

Keyword(s):

Domain Decomposition ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Overlapping Domain Decomposition ◽

Semilinear Parabolic

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A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2019.03.012 ◽

2019 ◽

Vol 94 ◽

pp. 257-265 ◽

Author(s):

Jianguo Huang ◽

Lili Ju ◽

Bo Wu

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Exponential Time Differencing Method ◽

Semilinear Parabolic

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Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0117-1 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1043-1065 ◽

Author(s):

Liyong Zhu ◽

Lili Ju ◽

Weidong Zhao

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Runge Kutta ◽

Semilinear Parabolic

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Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations

Science in China Series A Mathematics ◽

10.1007/s11425-009-0040-8 ◽

2009 ◽

Vol 52 (11) ◽

pp. 2362-2388 ◽

Author(s):

HongLin Liao ◽

HanSheng Shi ◽

ZhiZhong Sun

Keyword(s):

Domain Decomposition ◽

Parabolic Equations ◽

Decomposition Algorithms ◽

Semilinear Parabolic Equations ◽

Two Dimensional ◽

Semilinear Parabolic

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Global Existence, Exponential Decay and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Parabolic Equations

Acta Mathematica Scientia ◽

10.1007/s10473-019-0508-8 ◽

2019 ◽

Vol 39 (5) ◽

pp. 1290-1308 ◽

Author(s):

Hua Chen ◽

Huiyang Xu

Keyword(s):

Global Existence ◽

Exponential Decay ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global existence and local continuity of solutions for semilinear parabolic equations

Communications in Partial Differential Equations ◽

10.1080/03605309708821310 ◽

1997 ◽

Vol 22 (9-10) ◽

pp. 1529-1557 ◽

Author(s):

S. Zhang

Keyword(s):

Global Existence ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Continuity Of Solutions ◽

Semilinear Parabolic

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Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.08.028 ◽

2009 ◽

Vol 80 (4) ◽

pp. 808-813 ◽

Author(s):

Xu Runzhang

Keyword(s):

Asymptotic Behavior ◽

Energy Level ◽

Parabolic Equations ◽

Blow Up ◽

Critical Energy ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-020-0200-2 ◽

2020 ◽

Vol 41 (2) ◽

pp. 303-324

Author(s):

Yi Xie ◽

Peidong Lei

Keyword(s):

Parabolic Equations ◽

Almost Periodicity ◽

Semilinear Parabolic Equations ◽

Boundary Degeneracy ◽

Semilinear Parabolic

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Exact decay estimates for solutions to semilinear parabolic equations

Applicable Analysis ◽

10.1080/00036819108840034 ◽

1991 ◽

Vol 42 (1-4) ◽

pp. 69-81 ◽

Author(s):

J.M. Ghidaglia ◽

A. Marzocchi

Keyword(s):

Parabolic Equations ◽

Decay Estimates ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Asymptotics of eigenvalues of the Jacobi matrix of a system of semilinear parabolic equations

Mathematical Notes ◽

10.1134/s0001434611010263 ◽

2011 ◽

Vol 89 (1-2) ◽

pp. 206-213

Author(s):

A. S. Bratus’ ◽

M. V. Safro

Keyword(s):

Parabolic Equations ◽

Jacobi Matrix ◽

Semilinear Parabolic Equations ◽

Asymptotics Of Eigenvalues ◽

Semilinear Parabolic

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Heteroclinic Orbits of Semilinear Parabolic Equations

Journal of Differential Equations ◽

10.1006/jdeq.1996.0031 ◽

1996 ◽

Vol 125 (1) ◽

pp. 239-281 ◽

Author(s):

Bernold Fiedler ◽

Carlos Rocha

Keyword(s):

Parabolic Equations ◽

Heteroclinic Orbits ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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