Akitoshi Takayasu

Associate Professor

University of Tsukuba

Japan

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Akitoshi Takayasu is an Associate Professor at the University of Tsukuba, Japan. His research interests include the study of nonlinear partial differential equations, dynamical systems, and rigorous numerical methods. Recent articles highlight his work on blow-up solutions, semigroup theory, and eigenvalue problems.

Articles (12)

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2025

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2025

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2023

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2023

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2023

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2023

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2022

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2022

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2022

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2022

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2020

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2020

Collaborators (4)

Kaname Matsue

Associate Professor

Kyushu University

JAPAN

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Jonathan Jaquette

Assistant Professor

New Jersey Institute of Technology

UNITED STATES

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Sang Pyo Kim

Professor

Kunsan National University

SOUTH KOREA

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Akira Imakura

Associate Professor

University of Tsukuba

JAPAN

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Akitoshi Takayasu

Research Interests

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Articles (12)

Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence

A Rigorous Integrator and Global Existence for Higher-Dimensional Semilinear Parabolic PDEs via Semigroup Theory

Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh–Ritz procedure for generalized Hermitian eigenvalue problems

Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature

Complex moment-based methods for differential eigenvalue problems

Monodromy approach to pair production of charged black holes and electric fields

Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity

Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time (Numerische Mathematik, (2022), 151, 3, (693-750), 10.1007/s00211-022-01291-2)

Global dynamics in nonconservative nonlinear Schrödinger equations

Rigorous numerics for nonlinear heat equations in the complex plane of time

Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity

Numerical validation of blow-up solutions with quasi-homogeneous compactifications

Collaborators (4)

Kaname Matsue

Jonathan Jaquette

Sang Pyo Kim

Akira Imakura

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