A new technique to design numerical schemes with weak nonlinearity based on discrete variational derivative method

Mapping Intimacies ◽

10.1063/1.4756384 ◽

2012 ◽

Author(s):

Daisuke Furihata

Keyword(s):

New Technique ◽

Variational Derivative ◽

Numerical Schemes ◽

Weak Nonlinearity ◽

Derivative Method ◽

Discrete Variational Derivative Method ◽

A New Technique

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Discrete Variational Derivative Method

Discrete Variational Derivative Method ◽

10.1201/b10387-7 ◽

2010 ◽

pp. 81-140

Keyword(s):

Variational Derivative ◽

Derivative Method ◽

Discrete Variational Derivative Method

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The discrete variational derivative method based on discrete differential forms

Journal of Computational Physics ◽

10.1016/j.jcp.2012.01.035 ◽

2012 ◽

Vol 231 (10) ◽

pp. 3963-3986 ◽

Cited By ~ 12

Author(s):

Takaharu Yaguchi ◽

Takayasu Matsuo ◽

Masaaki Sugihara

Keyword(s):

Differential Forms ◽

Variational Derivative ◽

Discrete Differential Forms ◽

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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Discrete Variational Derivative Method

10.1201/b10387 ◽

2010 ◽

Cited By ~ 37

Author(s):

Daisuke Furihata ◽

Takayasu Matsuo

Keyword(s):

Variational Derivative ◽

Derivative Method ◽

Discrete Variational Derivative Method

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Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.08.009 ◽

2006 ◽

Vol 194 (2) ◽

pp. 425-459 ◽

Cited By ~ 13

Author(s):

Takanori Ide ◽

Masami Okada

Keyword(s):

Differential Equation ◽

Numerical Simulation ◽

Partial Differential Equation ◽

Nonlinear Partial Differential Equation ◽

Variable Coefficients ◽

Variational Derivative ◽

Partial Differential ◽

Derivative Method ◽

Discrete Variational Derivative Method

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A novel discrete variational derivative method using ``average-difference methods''

JSIAM Letters ◽

10.14495/jsiaml.8.81 ◽

2016 ◽

Vol 8 (0) ◽

pp. 81-84 ◽

Cited By ~ 11

Author(s):

Daisuke Furihata ◽

Shun Sato ◽

Takayasu Matsuo

Keyword(s):

Average Difference ◽

Variational Derivative ◽

Derivative Method ◽

Discrete Variational Derivative Method ◽

Difference Methods

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GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.10.018 ◽

2016 ◽

Vol 296 ◽

pp. 690-708 ◽

Cited By ~ 10

Author(s):

Yukihito Suzuki ◽

Masashi Ohnawa

Keyword(s):

Vorticity Equation ◽

Two Dimensional ◽

Variational Derivative ◽

Derivative Method ◽

Discrete Variational Derivative Method

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STABILITY, UNIQUE EXISTENCE AND CONVERGENCE OF ENERGY PRESERVING FINITE ELEMENT SCHEME FOR ALLEN-CAHN EQUATION BY MEANS OF THE DISCRETE VARIATIONAL DERIVATIVE METHOD

International Journal of Numerical Methods and Applications ◽

10.17654/nm015040333 ◽

2017 ◽

Vol 15 (4) ◽

pp. 333-363

Author(s):

Takanori Ide

Keyword(s):

Finite Element ◽

Variational Derivative ◽

Finite Element Scheme ◽

Element Scheme ◽

Unique Existence ◽

Cahn Equation ◽

Derivative Method ◽

Discrete Variational Derivative Method

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Discrete Variational Derivative Method

Chapman & Hall/CRC Numerical Analy & Scient Comp. Series - Discrete Variational Derivative Method ◽

10.1201/b10387-4 ◽

2010 ◽

pp. 69-127

Keyword(s):

Variational Derivative ◽

Derivative Method ◽

Discrete Variational Derivative Method

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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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