A stable and conservative finite difference scheme for the Cahn-Hilliard equation D Furihata
Numerische Mathematik 87 (4), 675-699, 2001
306 2001 Discrete variational derivative method: a structure-preserving numerical method for partial differential equations D Furihata, T Matsuo
CRC Press, 2010
289 2010 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
205 1999 Finite Difference Schemes for... That Inherit Energy Conservation Or Dissipation Property D Furihata
205 * 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
166 2001 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
135 2001 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
50 2003 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
48 2018 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
37 2002 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
24 2009 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
23 1998 Finite difference schemes for that inherit energy conservation or dissipation property D Furihata
J. Comput. Phys 156 (1), 181-205, 1999
20 1999 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
18 1996 A novel discrete variational derivative method using``average-difference methods'' D Furihata, S Sato, T Matsuo
JSIAM Letters 8, 81-84, 2015
14 2015 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
11 2000 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
10 2020 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
10 1993 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
9 2015 Geometric numerical integrators for Hunter–Saxton-like equations Y Miyatake, D Cohen, D Furihata, T Matsuo
Japan Journal of Industrial and Applied Mathematics 34 (2), 441-472, 2017
8 2017 A stabilization of multistep linearly implicit schemes for dissipative systems T Matsuo, D Furihata
Journal of Computational and Applied Mathematics 264, 38-48, 2014
8 2014