On Convergence of the DQDS Algorithm for Singular Value Computation. - Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara (SIAM J. Matrix Anal. Appl., 2008)

An energy-conserving Galerkin scheme for a class of nonlinear dispersive equations. - Takayasu Matsuo; Hisashi Yamaguchi (J. Comput. Phys., 2009)

Superquadratic convergence of DLASQ for computing matrix singular values. - Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara (J. Comput. Appl. Math., 2010)

A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation. - Takayasu Matsuo (J. Comput. Appl. Math., 2010)

Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (J. Comput. Appl. Math., 2010)

Conservative numerical schemes for the Ostrovsky equation. - Takaharu Yaguchi; Takayasu Matsuo; Masaaki Sugihara (J. Comput. Appl. Math., 2010)

An extension of the discrete variational method to nonuniform grids. - Takaharu Yaguchi; Takayasu Matsuo; Masaaki Sugihara (J. Comput. Phys., 2010)

Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (JSIAM Lett., 2010)

Conservative finite difference schemes for the modified Camassa-Holm equation. - Yuto Miyatake; Takayasu Matsuo; Daisuke Furihata (JSIAM Lett., 2011)

A multi-symplectic integration of the Ostrovsky equation. - Yuto Miyatake; Takaharu Yaguchi; Takayasu Matsuo (JSIAM Lett., 2011)

On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (JSIAM Lett., 2011)

A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence. - Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara (J. Comput. Appl. Math., 2012)

Conservative finite difference schemes for the Degasperis-Procesi equation. - Yuto Miyatake; Takayasu Matsuo (J. Comput. Appl. Math., 2012)

Numerical integration of the Ostrovsky equation based on its geometric structures. - Yuto Miyatake; Takaharu Yaguchi; Takayasu Matsuo (J. Comput. Phys., 2012)

The discrete variational derivative method based on discrete differential forms. - Takaharu Yaguchi; Takayasu Matsuo; Masaaki Sugihara (J. Comput. Phys., 2012)

A conservative compact finite difference scheme for the KdV equation. - Hiroki Kanazawa; Takayasu Matsuo; Takaharu Yaguchi (JSIAM Lett., 2012)

An alternating discrete variational derivative method for coupled partial differential equations. - Hiroaki Kuramae; Takayasu Matsuo (JSIAM Lett., 2012)

A new geometric integration approach based on local invariants. - Takeru Matsuda; Takayasu Matsuo (JSIAM Lett., 2013)

Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (Numerische Mathematik, 2013)

DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods. - Tomoaki Okayama; Ken'ichiro Tanaka; Takayasu Matsuo; Masaaki Sugihara (Numerische Mathematik, 2013)

A shift strategy for superquadratic convergence in the dqds algorithm for singular values. - Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara (J. Comput. Appl. Math., 2014)

A stabilization of multistep linearly implicit schemes for dissipative systems. - Takayasu Matsuo; Daisuke Furihata (J. Comput. Appl. Math., 2014)

A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations. - Yuto Miyatake; Takayasu Matsuo (J. Comput. Appl. Math., 2015)

A fast alternating least squares method for third-order tensors based on a compression procedure. - Tomonori Murakoshi; Takayasu Matsuo (JSIAM Lett., 2015)

An analysis on the asymptotic behavior of multistep linearly implicit schemes for the Duffing equation. - Shun Sato 001; Takayasu Matsuo; Daisuke Furihata (JSIAM Lett., 2015)

Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (Math. Comput., 2015)

A Lyapunov-Type Theorem for Dissipative Numerical Integrators with Adaptive Time-Stepping. - Shun Sato 001; Takayasu Matsuo; Hideyuki Suzuki; Daisuke Furihata (SIAM J. Numer. Anal., 2015)

A novel discrete variational derivative method using "average-difference methods". - Daisuke Furihata; Shun Sato 001; Takayasu Matsuo (JSIAM Lett., 2016)

Some discrete inequalities for central-difference type operators. - Hiroki Kojima; Takayasu Matsuo; Daisuke Furihata (Math. Comput., 2017)

Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems. - Yushi Morijiri; Kensuke Aishima; Takayasu Matsuo (JSIAM Lett., 2018)

Constructing invariant-preserving numerical schemes based on Poisson and Nambu brackets. - Yuya Sugibuchi; Takayasu Matsuo; Shun Sato 001 (JSIAM Lett., 2018)

On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative. - Shun Sato 001; Takayasu Matsuo (J. Comput. Appl. Math., 2019)

A robust numerical integrator for the short pulse equation near criticality. - Shun Sato 001; K. Oguma; Takayasu Matsuo; Bao-Feng Feng (J. Comput. Appl. Math., 2019)

Mathematical analysis of a conservative numerical scheme for the Ostrovsky equation. - Shuto Kawai; Shun Sato 001; Takayasu Matsuo (JSIAM Lett., 2022)

Deriving efficient optimization methods based on stable explicit numerical methods. - Kansei Ushiyama; Shun Sato 001; Takayasu Matsuo (JSIAM Lett., 2022)

Essential convergence rate of ordinary differential equations appearing in optimization. - Kansei Ushiyama; Shun Sato 001; Takayasu Matsuo (JSIAM Lett., 2022)

A Unified Discretization Framework for Differential Equation Approach with Lyapunov Arguments for Convex Optimization. - Kansei Ushiyama; Shun Sato 001; Takayasu Matsuo (NeurIPS, 2023)

Double-Exponential transformation: A quick review of a Japanese tradition. - Kazuo Murota; Takayasu Matsuo (CoRR, 2023)

A new unified framework for designing convex optimization methods with prescribed theoretical convergence estimates: A numerical analysis approach. - Kansei Ushiyama; Shun Sato 001; Takayasu Matsuo (CoRR, 2023)

Mathematical analysis and numerical comparison of energy-conservative schemes for the Zakharov equations. - Shuto Kawai; Shun Sato 001; Takayasu Matsuo (CoRR, 2024)

A novel interpretation of Nesterov's acceleration via variable step-size linear multistep methods. - Ryota Nozawa; Shun Sato 001; Takayasu Matsuo (CoRR, 2024)

Analysis of nonquadratic energy-conservative schemes for KdV type-equations. - Shuto Kawai; Shun Sato 001; Takayasu Matsuo (CoRR, 2024)

Affine-invariant projection methods for conservative integration of differential equations. - Naoki Ishii; Shun Sato 001; Takayasu Matsuo (JSIAM Lett., 2024)

Analysis of continuous dynamical system models with Hessians derived from optimization methods. - Tomoya Kamijima; Shun Sato 001; Kansei Ushiyama; Takayasu Matsuo; Ken'ichiro Tanaka (JSIAM Lett., 2024)

Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients. - Kansei Ushiyama; Shun Sato 001; Takayasu Matsuo (Numer. Algorithms, 2024)

A discrete variational derivative method for the Cahn-Hilliard equation with high-order spatial accuracy. - Kota Umezu; Shun Sato 001; Takayasu Matsuo (JSIAM Lett., 2025)