Yoshitaka Watanabe

Orcid: 0000-0001-6520-3552

According to our database1, Yoshitaka Watanabe authored at least 26 papers between 1998 and 2023.

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Bibliography

2023
Efficient Approaches for Verifying the Existence and Bound of Inverse of Linear Operators in Hilbert Spaces.
J. Sci. Comput., 2023

Inclusion method of optimal constant with quadratic convergence for H01-projection error estimates and its applications.
J. Comput. Appl. Math., 2023

2022
On Some Convergence Properties for Finite Element Approximations to the Inverse of Linear Elliptic Operators.
Acta Cybern., September, 2022

Improvement of infinity norm estimations related to computer-assisted proofs of the Kolmogorov problem.
JSIAM Lett., 2022

2021
Computer-assisted proofs of the existence of a symmetry-breaking bifurcation point for the Kolmogorov problem.
J. Comput. Appl. Math., 2021

Motion control of deep sea vehicle 'OTOHIME': modeling with neural network.
Adv. Robotics, 2021

2020
Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space.
J. Comput. Appl. Math., 2020

2019
EMC Design Support Tool for Consumer Product.
Proceedings of the IEEE International Conference on Consumer Electronics, 2019

2018
EMI designs support system using augmented reality.
Proceedings of the IEEE International Conference on Consumer Electronics, 2018

2017
On the compactness of a nonlinear operator related to stream function-vorticity formulation for the Navier-Stokes equations.
JSIAM Lett., 2017

2016
An efficient numerical verification method for the Kolmogorov problem of incompressible viscous fluid.
J. Comput. Appl. Math., 2016

A numerical verification method for nonlinear functional equations based on infinite-dimensional Newton-like iteration.
Appl. Math. Comput., 2016

2015
H<sup>3</sup> and H<sup>4</sup> Regularities of the Poisson Equation on Polygonal Domains.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

2014
Verified Computations of Eigenvalue Exclosures for Eigenvalue Problems in Hilbert Spaces.
SIAM J. Numer. Anal., 2014

Some Remarks on the Rigorous Estimation of Inverse Linear Elliptic Operators.
Proceedings of the Scientific Computing, Computer Arithmetic, and Validated Numerics, 2014

2013
A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations.
Math. Comput., 2013

2010
Erratum to: Computer Assisted Proofs of Bifurcating Solutions for Nonlinear Heat Convection Problems.
J. Sci. Comput., 2010

Computer Assisted Proofs of Bifurcating Solutions for Nonlinear Heat Convection Problems.
J. Sci. Comput., 2010

2009
A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh-Bénard problems.
Numerische Mathematik, 2009

Development of a new positioning system for underwater robot based on sensor network.
Artif. Life Robotics, 2009

2008
Development of a new underwater positioning system based on sensor network.
Artif. Life Robotics, 2008

2005
A Numerical Method to Verify the Invertibility of Linear Elliptic Operators with Applications to Nonlinear Problems.
Computing, 2005

2004
An Efficient Approach to the Numerical Verification for Solutions of Elliptic Differential Equations.
Numer. Algorithms, 2004

2003
Some Computer Assisted Proofs for Solutions of the Heat Convection Problems.
Reliab. Comput., 2003

1999
A Numerical Verification Method of Solutions for the Navier-Stokes Equations.
Reliab. Comput., 1999

1998
Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations.
Reliab. Comput., 1998


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