Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903421278 ◽

2005 ◽

Vol 43 (1) ◽

pp. 58-75 ◽

Author(s):

Heping Ma ◽

Weiwei Sun ◽

Tao Tang

Keyword(s):

Spectral Methods ◽

Parabolic Equations ◽

Unbounded Domains ◽

Time Dependent ◽

Hermite Spectral Methods

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Hermite Spectral Methods for Fractional PDEs in Unbounded Domains

SIAM Journal on Scientific Computing ◽

10.1137/16m1097109 ◽

2017 ◽

Vol 39 (5) ◽

pp. A1928-A1950 ◽

Author(s):

Zhiping Mao ◽

Jie Shen

Keyword(s):

Spectral Methods ◽

Unbounded Domains ◽

Fractional Pdes ◽

Hermite Spectral Methods

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The Laguerre-Hermite spectral methods for the time-fractional sub-diffusion equations on unbounded domains

Numerical Algorithms ◽

10.1007/s11075-018-00652-z ◽

2019 ◽

Vol 82 (4) ◽

pp. 1221-1250 ◽

Author(s):

Hao Yu ◽

Boying Wu ◽

Dazhi Zhang

Keyword(s):

Spectral Methods ◽

Unbounded Domains ◽

Diffusion Equations ◽

Hermite Spectral Methods

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Efficient Laguerre and Hermite Spectral Methods for Odd-order Differential Equations in Unbounded Domains

Journal of Mathematical Study ◽

10.4208/jms.v53n2.20.04 ◽

2020 ◽

Vol 53 (2) ◽

pp. 192-211

Author(s):

Cheng Xu sci

Keyword(s):

Differential Equations ◽

Spectral Methods ◽

Unbounded Domains ◽

Odd Order ◽

Hermite Spectral Methods

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Global nonexistence of solutions to degenerate parabolic equations in unbounded domains

Applied Mathematics Letters ◽

10.1016/j.aml.2005.07.009 ◽

2006 ◽

Vol 19 (6) ◽

pp. 535-540

Author(s):

Caisheng Chen

Keyword(s):

Parabolic Equations ◽

Unbounded Domains ◽

Degenerate Parabolic Equations ◽

Global Nonexistence ◽

Nonexistence Of Solutions ◽

Degenerate Parabolic

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Parallel Pseudo-Spectral Methods for the Time-Dependent Schrödinger Equation

Parallel Computing ◽

10.1007/978-1-84882-409-6_9 ◽

2009 ◽

pp. 261-279

Author(s):

Tore Birkeland ◽

Tor Sørevik

Keyword(s):

Schrödinger Equation ◽

Spectral Methods ◽

Schrodinger Equation ◽

Time Dependent ◽

Pseudo Spectral

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Parabolic Equations: Time‐Dependent Diffusion Problems

Introduction to Finite Element Analysis for Engineers ◽

10.1201/9781315405704-5 ◽

2018 ◽

pp. 383-447

Author(s):

Saad A. Ragab ◽

Hassan E. Fayed

Keyword(s):

Parabolic Equations ◽

Time Dependent ◽

Diffusion Problems

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Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients–-convergence analysis

Annales Polonici Mathematici ◽

10.4064/ap88-2-1 ◽

2006 ◽

Vol 88 (2) ◽

pp. 97-111

Author(s):

A. Poliński

Keyword(s):

Convergence Analysis ◽

Parabolic Equations ◽

Difference Schemes ◽

Time Dependent ◽

Explicit Difference Schemes

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Bounds as t?+? for solutions of degenerate linear and nonlinear parabolic equations in unbounded domains

Mathematical Notes ◽

10.1007/bf01157681 ◽

1985 ◽

Vol 37 (6) ◽

pp. 448-455

Author(s):

R. Ya. Glagoleva

Keyword(s):

Parabolic Equations ◽

Unbounded Domains ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

Linear And Nonlinear ◽

Degenerate Linear

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Uniqueness of the solutions of the cauchy problem and of boundary-value problems in unbounded domains for certain classes of nonlinear degenerate parabolic equations

Journal of Soviet Mathematics ◽

10.1007/bf01097157 ◽

1989 ◽

Vol 45 (5) ◽

pp. 1374-1388

Author(s):

N. O. Maksimova

Keyword(s):

Cauchy Problem ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Unbounded Domains ◽

Degenerate Parabolic Equations ◽

The Cauchy Problem ◽

Nonlinear Degenerate Parabolic Equations ◽

Degenerate Parabolic ◽

Nonlinear Degenerate

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Periodic solutions of systems of parabolic equations in unbounded domains

Nonlinear Analysis ◽

10.1016/s0362-546x(00)85031-2 ◽

2000 ◽

Vol 40 (1-8) ◽

pp. 523-535 ◽

Author(s):

C.V. Pao

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Unbounded Domains ◽

Systems Of Parabolic Equations

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