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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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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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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Fast Spectral Methods for Temporally-Distributed Fractional PDEs

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 ◽

10.1007/978-3-319-65870-4_47 ◽

2017 ◽

pp. 651-667 ◽

Author(s):

Mehdi Samiee ◽

Ehsan Kharazmi ◽

Mohsen Zayernouri

Keyword(s):

Spectral Methods ◽

Fractional Pdes

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Numerical Simulation of Microflows Using Hermite Spectral Methods

SIAM Journal on Scientific Computing ◽

10.1137/18m120066x ◽

2020 ◽

Vol 42 (1) ◽

pp. B105-B134 ◽

Author(s):

Zhicheng Hu ◽

Zhenning Cai ◽

Yanli Wang

Keyword(s):

Numerical Simulation ◽

Spectral Methods ◽

Hermite Spectral Methods

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Fractional spectral and pseudo-spectral methods in unbounded domains: Theory and applications

Journal of Computational Physics ◽

10.1016/j.jcp.2017.02.060 ◽

2017 ◽

Vol 338 ◽

pp. 527-566 ◽

Author(s):

Hassan Khosravian-Arab ◽

Mehdi Dehghan ◽

M.R. Eslahchi

Keyword(s):

Spectral Methods ◽

Unbounded Domains ◽

Pseudo Spectral

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Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999362936 ◽

2000 ◽

Vol 38 (4) ◽

pp. 1113-1133 ◽

Author(s):

Jie Shen

Keyword(s):

Spectral Methods ◽

Unbounded Domains ◽

Laguerre Functions

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On the stability of conservative discontinuous Galerkin/Hermite Spectral methods for the Vlasov-Poisson System

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110881 ◽

2021 ◽

pp. 110881

Author(s):

Marianne Bessemoulin-Chatard ◽

Francis Filbet

Keyword(s):

Discontinuous Galerkin ◽

Spectral Methods ◽

Poisson System ◽

The Stability ◽

Hermite Spectral Methods

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Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.070420.110720 ◽

2021 ◽

Vol 11 (1) ◽

pp. 43-62

Author(s):

Tengteng Cui

Keyword(s):

Spectral Methods ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Hermite Spectral Methods

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Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains

Mathematics of Computation ◽

10.1090/s0025-5718-96-00710-7 ◽

1996 ◽

Vol 65 (214) ◽

pp. 507-532 ◽

Author(s):

Laurence Halpern

Keyword(s):

Spectral Methods ◽

Stokes Problem ◽

Unbounded Domains ◽

Polar Coordinates

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