Kazuaki Tanaka

Kazuaki Tanaka

Waseda University

H-index: 6

Asia-Japan

About Kazuaki Tanaka

Kazuaki Tanaka, With an exceptional h-index of 6 and a recent h-index of 5 (since 2020), a distinguished researcher at Waseda University, specializes in the field of Partial Differential Equations, Numerical Analysis, Numerical Verification, Computer-Assisted Proofs.

His recent articles reflect a diverse array of research interests and contributions to the field:

Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents

Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems

A posteriori verification for the sign-change structure of solutions of elliptic partial differential equations

Numerical verification method for positive solutions of elliptic problems

Numerical verification for positive solutions of Allen–Cahn equation using sub-and super-solution method

Kazuaki Tanaka Information

University

Position

Assistant Professor

Citations(all)

159

Citations(since 2020)

101

Cited By

103

hIndex(all)

6

hIndex(since 2020)

5

i10Index(all)

5

i10Index(since 2020)

3

Email

University Profile Page

Waseda University

Google Scholar

View Google Scholar Profile

Kazuaki Tanaka Skills & Research Interests

Partial Differential Equations

Numerical Analysis

Numerical Verification

Computer-Assisted Proofs

Top articles of Kazuaki Tanaka

Title

Journal

Author(s)

Publication Date

Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents

Numerical Functional Analysis and Optimization

Kazuaki Tanaka

Michael Plum

Kouta Sekine

Masahide Kashiwagi

Shin’ichi Oishi

2022/2/17

Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems

Computers & Mathematics with Applications

Kouta Sekine

Kazuaki Tanaka

Shin'ichi Oishi

2022/1/15

A posteriori verification for the sign-change structure of solutions of elliptic partial differential equations

Japan Journal of Industrial and Applied Mathematics

Kazuaki Tanaka

2021/9

Numerical verification method for positive solutions of elliptic problems

Journal of Computational and Applied Mathematics

Kazuaki Tanaka

2020/5/15

Numerical verification for positive solutions of Allen–Cahn equation using sub-and super-solution method

Journal of Advanced Simulation in Science and Engineering

Yuta Matsushima

Kazuaki Tanaka

Shin’ichi Oishi

2020

See List of Professors in Kazuaki Tanaka University(Waseda University)

Co-Authors

H-index: 12
Xuefeng LIU

Xuefeng LIU

Niigata University

H-index: 10
Akitoshi Takayasu

Akitoshi Takayasu

University of Tsukuba

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