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Daisuke Furihata
Daisuke Furihata
Professor of Cybermedia Center, Osaka University
Verified email at cmc.osaka-u.ac.jp - Homepage
Title
Cited by
Cited by
Year
A stable and conservative finite difference scheme for the Cahn-Hilliard equation
D Furihata
Numerische Mathematik 87 (4), 675-699, 2001
3022001
Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
D Furihata, T Matsuo
CRC Press, 2010
2852010
Finite difference schemes for∂ u∂ t=(∂∂ x) αδGδu that inherit energy conservation or dissipation property
D Furihata
Journal of Computational Physics 156 (1), 181-205, 1999
2041999
Finite Difference Schemes for... That Inherit Energy Conservation Or Dissipation Property
D Furihata
204*1998
Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
T Matsuo, D Furihata
Journal of Computational Physics 171 (2), 425-447, 2001
1652001
Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
D Furihata
Journal of Computational and Applied Mathematics 134 (1), 37-57, 2001
1342001
A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation
D Furihata, T Matsuo
Japan journal of industrial and applied mathematics 20 (1), 65-85, 2003
492003
Strong Convergence of a Fully Discrete Finite Element Approximation of the Stochastic Cahn--Hilliard Equation
D Furihata, M Kovács, S Larsson, F Lindgren
SIAM Journal on Numerical Analysis 56 (2), 708-731, 2018
472018
Spatially accurate dissipative or conservative finite difference schemes derived by the discrete variational method
T Matsuo, M Sugihara, D Furihata, M Mori
Japan journal of industrial and applied mathematics 19 (3), 311-330, 2002
372002
Nonlinear and linear conservative finite difference schemes for regularized long wave equation
S Koide, D Furihata
Japan journal of industrial and applied mathematics 26 (1), 15-40, 2009
232009
General derivation of finite difference schemes by means of a discrete variation
D Furihata, M Mori
TRANSACTIONS-JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS 8, 317-340, 1998
231998
Finite difference schemes for that inherit energy conservation or dissipation property
D Furihata
J. Comput. Phys 156 (1), 181-205, 1999
201999
A stable finite difference scheme for the Cahn-Hilliard equation based on a Lyapunov functional
D Furihata, M Mori
Zeitschrift für angewandte Mathematik und Mechanik 76, 405-406, 1996
181996
A novel discrete variational derivative method using``average-difference methods''
D Furihata, S Sato, T Matsuo
JSIAM Letters 8, 81-84, 2015
142015
Linearly Implicit Finite Difference Schemes Derived by the Discrete Variational Method (Numerical Soluti on of Partial Differential Equations and Related Topics)
T Matsuo, M Sugihara, D Furihata, M Mori
数理解析研究所講究録 1145, 121-129, 2000
112000
A finite difference scheme for the Cahn-Hilliard equation based on a Lyapunov functional
D Furihata, T Onda, M Mori
GAKUTO Int. Series, Math. Sci. Appl 2, 347-358, 1993
101993
A structure-preserving scheme for the Allen–Cahn equation with a dynamic boundary condition
M Okumura, D Furihata
Discrete & Continuous Dynamical Systems-A 40 (8), 4927, 2020
92020
A Lyapunov-type theorem for dissipative numerical integrators with adaptive time-stepping
S Sato, T Matsuo, H Suzuki, D Furihata
SIAM Journal on Numerical Analysis 53 (6), 2505-2518, 2015
92015
Invariants-preserving integration of the modified Camassa–Holm equation
Y Miyatake, T Matsuo, D Furihata
Japan journal of industrial and applied mathematics 28 (3), 351-381, 2011
82011
A numerical analysis of equation by the finite difference scheme
D Furihata, T Onda, M Mori
Trans. Japan Soc. Indust. Appl. Math 3 (3), 217-228, 1993
8*1993
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