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Takayasu Matsuo
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Journal Articles
- 2024
- [j38]Kansei Ushiyama, Shun Sato
, Takayasu Matsuo:
Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients. Numer. Algorithms 96(3): 1331-1362 (2024) - 2022
- [j37]Kansei Ushiyama, Shun Sato, Takayasu Matsuo:
Deriving efficient optimization methods based on stable explicit numerical methods. JSIAM Lett. 14: 29-32 (2022) - [j36]Shuto Kawai, Shun Sato, Takayasu Matsuo:
Mathematical analysis of a conservative numerical scheme for the Ostrovsky equation. JSIAM Lett. 14: 53-56 (2022) - [j35]Kansei Ushiyama, Shun Sato, Takayasu Matsuo:
Essential convergence rate of ordinary differential equations appearing in optimization. JSIAM Lett. 14: 119-122 (2022) - 2019
- [j34]Shun Sato
, Takayasu Matsuo:
On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative. J. Comput. Appl. Math. 358: 221-240 (2019) - [j33]Shun Sato
, K. Oguma, Takayasu Matsuo, Bao-Feng Feng
:
A robust numerical integrator for the short pulse equation near criticality. J. Comput. Appl. Math. 361: 343-365 (2019) - 2018
- [j32]Yushi Morijiri, Kensuke Aishima
, Takayasu Matsuo:
Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems. JSIAM Lett. 10: 17-20 (2018) - [j31]Yuya Sugibuchi, Takayasu Matsuo, Shun Sato:
Constructing invariant-preserving numerical schemes based on Poisson and Nambu brackets. JSIAM Lett. 10: 53-56 (2018) - 2017
- [j30]Hiroki Kojima, Takayasu Matsuo, Daisuke Furihata:
Some discrete inequalities for central-difference type operators. Math. Comput. 86(306): 1719-1739 (2017) - 2016
- [j29]Daisuke Furihata, Shun Sato, Takayasu Matsuo:
A novel discrete variational derivative method using "average-difference methods". JSIAM Lett. 8: 81-84 (2016) - 2015
- [j28]Yuto Miyatake
, Takayasu Matsuo:
A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations. J. Comput. Appl. Math. 274: 79-87 (2015) - [j27]Tomonori Murakoshi, Takayasu Matsuo:
A fast alternating least squares method for third-order tensors based on a compression procedure. JSIAM Lett. 7: 5-8 (2015) - [j26]Shun Sato, Takayasu Matsuo, Daisuke Furihata:
An analysis on the asymptotic behavior of multistep linearly implicit schemes for the Duffing equation. JSIAM Lett. 7: 45-48 (2015) - [j25]Tomoaki Okayama
, Takayasu Matsuo, Masaaki Sugihara:
Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. Math. Comput. 84(293): 1189-1215 (2015) - [j24]Shun Sato
, Takayasu Matsuo, Hideyuki Suzuki, Daisuke Furihata:
A Lyapunov-Type Theorem for Dissipative Numerical Integrators with Adaptive Time-Stepping. SIAM J. Numer. Anal. 53(6): 2505-2518 (2015) - 2014
- [j23]Kensuke Aishima
, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
A shift strategy for superquadratic convergence in the dqds algorithm for singular values. J. Comput. Appl. Math. 257: 132-143 (2014) - [j22]Takayasu Matsuo, Daisuke Furihata:
A stabilization of multistep linearly implicit schemes for dissipative systems. J. Comput. Appl. Math. 264: 38-48 (2014) - 2013
- [j21]Takeru Matsuda, Takayasu Matsuo:
A new geometric integration approach based on local invariants. JSIAM Lett. 5: 37-40 (2013) - [j20]Tomoaki Okayama
, Takayasu Matsuo, Masaaki Sugihara:
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. Numerische Mathematik 124(2): 361-394 (2013) - [j19]Tomoaki Okayama
, Ken'ichiro Tanaka
, Takayasu Matsuo, Masaaki Sugihara:
DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods. Numerische Mathematik 125(3): 511-543 (2013) - [j18]Ken'ichiro Tanaka
, Tomoaki Okayama
, Takayasu Matsuo, Masaaki Sugihara:
DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods. Numerische Mathematik 125(3): 545-568 (2013) - 2012
- [j17]Kensuke Aishima
, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence. J. Comput. Appl. Math. 236(15): 3556-3560 (2012) - [j16]Yuto Miyatake
, Takayasu Matsuo:
Conservative finite difference schemes for the Degasperis-Procesi equation. J. Comput. Appl. Math. 236(15): 3728-3740 (2012) - [j15]Takaharu Yaguchi
, Takayasu Matsuo, Masaaki Sugihara:
The discrete variational derivative method based on discrete differential forms. J. Comput. Phys. 231(10): 3963-3986 (2012) - [j14]Yuto Miyatake
, Takaharu Yaguchi
, Takayasu Matsuo:
Numerical integration of the Ostrovsky equation based on its geometric structures. J. Comput. Phys. 231(14): 4542-4559 (2012) - [j13]Hiroki Kanazawa, Takayasu Matsuo, Takaharu Yaguchi:
A conservative compact finite difference scheme for the KdV equation. JSIAM Lett. 4: 5-8 (2012) - [j12]Hiroaki Kuramae, Takayasu Matsuo:
An alternating discrete variational derivative method for coupled partial differential equations. JSIAM Lett. 4: 29-32 (2012) - 2011
- [j11]Yuto Miyatake
, Takayasu Matsuo, Daisuke Furihata:
Conservative finite difference schemes for the modified Camassa-Holm equation. JSIAM Lett. 3: 37-40 (2011) - [j10]Yuto Miyatake
, Takaharu Yaguchi, Takayasu Matsuo:
A multi-symplectic integration of the Ostrovsky equation. JSIAM Lett. 3: 41-44 (2011) - [j9]Tomoaki Okayama
, Takayasu Matsuo, Masaaki Sugihara:
On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind. JSIAM Lett. 3: 81-84 (2011) - 2010
- [j8]Takaharu Yaguchi
, Takayasu Matsuo, Masaaki Sugihara:
Conservative numerical schemes for the Ostrovsky equation. J. Comput. Appl. Math. 234(4): 1036-1048 (2010) - [j7]Kensuke Aishima
, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
Superquadratic convergence of DLASQ for computing matrix singular values. J. Comput. Appl. Math. 234(4): 1179-1187 (2010) - [j6]Tomoaki Okayama
, Takayasu Matsuo, Masaaki Sugihara:
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind. J. Comput. Appl. Math. 234(4): 1211-1227 (2010) - [j5]Takayasu Matsuo:
A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation. J. Comput. Appl. Math. 234(4): 1258-1266 (2010) - [j4]Takaharu Yaguchi
, Takayasu Matsuo, Masaaki Sugihara:
An extension of the discrete variational method to nonuniform grids. J. Comput. Phys. 229(11): 4382-4423 (2010) - [j3]Tomoaki Okayama
, Takayasu Matsuo, Masaaki Sugihara:
Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals. JSIAM Lett. 2: 13-16 (2010) - 2009
- [j2]Takayasu Matsuo, Hisashi Yamaguchi:
An energy-conserving Galerkin scheme for a class of nonlinear dispersive equations. J. Comput. Phys. 228(12): 4346-4358 (2009) - 2008
- [j1]Kensuke Aishima
, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara:
On Convergence of the DQDS Algorithm for Singular Value Computation. SIAM J. Matrix Anal. Appl. 30(2): 522-537 (2008)
Conference and Workshop Papers
- 2023
- [c1]Kansei Ushiyama, Shun Sato, Takayasu Matsuo:
A Unified Discretization Framework for Differential Equation Approach with Lyapunov Arguments for Convex Optimization. NeurIPS 2023
Informal and Other Publications
- 2024
- [i5]Shuto Kawai, Shun Sato, Takayasu Matsuo:
Mathematical analysis and numerical comparison of energy-conservative schemes for the Zakharov equations. CoRR abs/2403.07336 (2024) - [i4]Ryota Nozawa, Shun Sato, Takayasu Matsuo:
A novel interpretation of Nesterov's acceleration via variable step-size linear multistep methods. CoRR abs/2404.10238 (2024) - 2023
- [i3]Kazuo Murota, Takayasu Matsuo:
Double-Exponential transformation: A quick review of a Japanese tradition. CoRR abs/2301.01920 (2023) - [i2]Kansei Ushiyama, Shun Sato, Takayasu Matsuo:
A new unified framework for designing convex optimization methods with prescribed theoretical convergence estimates: A numerical analysis approach. CoRR abs/2302.07404 (2023) - 2022
- [i1]Kansei Ushiyama, Shun Sato, Takayasu Matsuo:
Essential convergence rate of ordinary differential equations appearing in optimization. CoRR abs/2206.02599 (2022)
Coauthor Index
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