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Fingerprint Dive into the research topics where Yoshitaka Watanabe is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Numerical Verification Mathematics
Computer-assisted Proof Mathematics
Mathematical operators Engineering & Materials Science
Elliptic Operator Mathematics
Fixed point theorem Mathematics
Heat convection Engineering & Materials Science
A Priori Error Estimates Mathematics
Numerical Examples Mathematics

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Research Output 1993 2019

  • 198 Citations
  • 8 h-Index
  • 33 Article
  • 5 Conference contribution
  • 1 Comment/debate
  • 1 Conference article

A computer-assisted method for the diblock copolymer model

Cai, S. & Watanabe, Y., Jul 1 2019, In : ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 99, 7, e201800125.

Research output: Contribution to journalArticle

Copolymer
Block copolymers
Banach Fixed Point Theorem
Sobolev spaces
Compact Operator

An alternative approach to norm bound computation for inverses of linear operators in Hilbert spaces

Kinoshita, T., Watanabe, Y. & Nakao, M. T., Apr 15 2019, In : Journal of Differential Equations. 266, 9, p. 5431-5447 17 p.

Research output: Contribution to journalArticle

Hilbert spaces
Linear Operator
Mathematical operators
Hilbert space
Norm
Dual space
Elliptic Operator
Linear Operator
A Priori Error Estimates
Invertibility

Validated constructive error estimations for biharmonic problems

Kinoshita, T., Watanabe, Y. & Nakao, M. T., Jan 1 2017, In : Reliable Computing. 25, p. 168-177 10 p.

Research output: Contribution to journalArticle

Computer-assisted Proof
Biharmonic Problem
Biharmonic Equation
Computational Techniques
Error Estimation