Discrete variational derivative method: a structure-preserving numerical method for partial differential equations D Furihata, T Matsuo CRC Press, 2010 | 309 | 2010 |
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 | 170 | 2001 |
Recent developments of the Sinc numerical methods M Sugihara, T Matsuo Journal of computational and applied mathematics 164, 673-689, 2004 | 130 | 2004 |
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind T Okayama, T Matsuo, M Sugihara Journal of Computational and Applied Mathematics 234 (4), 1211-1227, 2010 | 97 | 2010 |
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration T Okayama, T Matsuo, M Sugihara Numerische Mathematik 124, 361-394, 2013 | 79 | 2013 |
New conservative schemes with discrete variational derivatives for nonlinear wave equations T Matsuo Journal of computational and applied mathematics 203 (1), 32-56, 2007 | 65 | 2007 |
Dissipative/conservative Galerkin method using discrete partial derivatives for nonlinear evolution equations T Matsuo Journal of computational and applied mathematics 218 (2), 506-521, 2008 | 63 | 2008 |
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, 65-85, 2003 | 51 | 2003 |
Conservative finite difference schemes for the Degasperis–Procesi equation Y Miyatake, T Matsuo Journal of Computational and Applied Mathematics 236 (15), 3728-3740, 2012 | 39 | 2012 |
An energy-conserving Galerkin scheme for a class of nonlinear dispersive equations T Matsuo, H Yamaguchi Journal of Computational Physics 228 (12), 4346-4358, 2009 | 39 | 2009 |
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 |
An extension of the discrete variational method to nonuniform grids T Yaguchi, T Matsuo, M Sugihara Journal of Computational Physics 229 (11), 4382-4423, 2010 | 35 | 2010 |
Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind T Okayama, T Matsuo, M Sugihara BIT Numerical Mathematics 51, 339-366, 2011 | 30 | 2011 |
Conservative numerical schemes for the Ostrovsky equation T Yaguchi, T Matsuo, M Sugihara Journal of computational and Applied Mathematics 234 (4), 1036-1048, 2010 | 29 | 2010 |
The discrete variational derivative method based on discrete differential forms T Yaguchi, T Matsuo, M Sugihara Journal of Computational Physics 231 (10), 3963-3986, 2012 | 27 | 2012 |
A Hamiltonian-conserving Galerkin scheme for the Camassa–Holm equation T Matsuo Journal of computational and applied mathematics 234 (4), 1258-1266, 2010 | 27 | 2010 |
High-order schemes for conservative or dissipative systems T Matsuo Journal of computational and applied mathematics 152 (1-2), 305-317, 2003 | 24 | 2003 |
Numerical integration of the Ostrovsky equation based on its geometric structures Y Miyatake, T Yaguchi, T Matsuo Journal of Computational Physics 231 (14), 4542-4559, 2012 | 22 | 2012 |
On convergence of the DQDS algorithm for singular value computation K Aishima, T Matsuo, K Murota, M Sugihara SIAM Journal on Matrix Analysis and Applications 30 (2), 522-537, 2008 | 21 | 2008 |
A multi-symplectic numerical integrator for the two-component Camassa—Holm equation D Cohen, T Matsuo, X Raynaud Journal of Nonlinear Mathematical Physics 21 (3), 442-453, 2014 | 19 | 2014 |