A stable and conservative finite difference scheme for the Cahn-Hilliard equation D Furihata Numerische Mathematik 87 (4), 675-699, 2001 | 293 | 2001 |

Discrete variational derivative method: a structure-preserving numerical method for partial differential equations D Furihata, T Matsuo CRC Press, 2010 | 271 | 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 | 199 | 1999 |

Finite Difference Schemes for... That Inherit Energy Conservation Or Dissipation Property D Furihata | 199* | 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 | 163 | 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 | 131 | 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 | 47 | 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 | 46 | 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 |

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 |

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 | 22 | 2009 |

Finite difference schemes for that inherit energy conservation or dissipation property D Furihata J. Comput. Phys 156 (1), 181-205, 1999 | 19 | 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 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 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 | 9 | 2020 |

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 |

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 | 8 | 2011 |

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 |