Discrete variational derivative method—A structure-preserving numerical method for partial differential equations

Daisuke Furihata; Takayasu Matsuo

doi:10.1090/suga/435

Discrete variational derivative method—A structure-preserving numerical method for partial differential equations

Sugaku Expositions ◽

10.1090/suga/435 ◽

2018 ◽

Vol 31 (2) ◽

pp. 231-255

Author(s):

Daisuke Furihata ◽

Takayasu Matsuo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Variational Derivative ◽

Partial Differential ◽

Structure Preserving ◽

Derivative Method ◽

Discrete Variational Derivative Method

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An alternating discrete variational derivative method for coupled partial differential equations

JSIAM Letters ◽

10.14495/jsiaml.4.29 ◽

2012 ◽

Vol 4 (0) ◽

pp. 29-32 ◽

Cited By ~ 7

Author(s):

Hiroaki Kuramae ◽

Takayasu Matsuo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Variational Derivative ◽

Partial Differential ◽

Coupled Partial Differential Equations ◽

Derivative Method ◽

Discrete Variational Derivative Method

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Pathwise convergence of a numerical method for stochastic partial differential equations with correlated noise and local Lipschitz condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.012 ◽

2017 ◽

Vol 323 ◽

pp. 123-135 ◽

Cited By ~ 1

Author(s):

Minoo Kamrani ◽

Dirk Blömker

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Lipschitz Condition ◽

Stochastic Partial Differential Equations ◽

Correlated Noise ◽

Partial Differential ◽

Local Lipschitz Condition

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New numerical method for partial differential equations. 1: Application to the diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650180303 ◽

1994 ◽

Vol 18 (3) ◽

pp. 257-271

Author(s):

P. Hatzikonstantinou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Diffusion Equation ◽

Numerical Method ◽

Partial Differential

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A numerical method for delayed partial differential equations describing infectious diseases

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.09.024 ◽

2016 ◽

Vol 72 (11) ◽

pp. 2741-2750 ◽

Cited By ~ 18

Author(s):

Khalid Hattaf ◽

Noura Yousfi

Keyword(s):

Partial Differential Equations ◽

Infectious Diseases ◽

Differential Equations ◽

Numerical Method ◽

Partial Differential

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A fast implicit iterative numerical method for solving multidimensional partial differential equations

10.2514/6.1977-644 ◽

1977 ◽

Cited By ~ 1

Author(s):

W. HELLIWELL

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Partial Differential

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Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order

Alexandria Engineering Journal ◽

10.1016/j.aej.2020.02.031 ◽

2020 ◽

Vol 59 (4) ◽

pp. 2355-2370

Author(s):

Abdon Atangana ◽

Seda İğret Araz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Partial Differential ◽

Integer Order

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Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations—An application to the blow-up problems of partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.069 ◽

2006 ◽

Vol 193 (2) ◽

pp. 614-637 ◽

Cited By ~ 15

Author(s):

Chiaki Hirota ◽

Kazufumi Ozawa

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Method ◽

Blow Up ◽

Partial Differential

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APPLICATION OF SBA NUMERICAL METHOD FOR SOLUTIONS OF THE PROBLEMS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms128010015 ◽

2020 ◽

Vol 128 (1) ◽

pp. 15-26

Author(s):

Bakari Abbo ◽

Rasmane Yaro ◽

Youssouf Pare

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

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Local structure-preserving algorithms for partial differential equations

Science in China Series A Mathematics ◽

10.1007/s11425-008-0046-7 ◽

2008 ◽

Vol 51 (11) ◽

pp. 2115-2136 ◽

Cited By ~ 30

Author(s):

YuShun Wang ◽

Bin Wang ◽

MengZhao Qin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Local Structure ◽

Partial Differential ◽

Structure Preserving

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A numerical method of characteristics for solving hyperbolic partial differential equations

10.31274/rtd-180817-1592 ◽

1967 ◽

Author(s):

David Lenz Simpson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Method Of Characteristics ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential

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