On eigenvalues of a matrix arising in energy-preserving/dissipative continuous-stage Runge-Kutta methods

DOI10.1515/SPMA-2021-0101zbMath1480.15013OpenAlexW3192387583MaRDI QIDQ2236388

Yusaku Yamamoto

Publication date: 22 October 2021

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2021-0101

zbMATH Keywords

eigenvalueHilbert matrixcontinuous Runge-Kutta methodsenergy-preservingstructure-preserving numerical methods

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• A Concise Introduction to Geometric Numerical Integration
• Discrete Variational Derivative Method
• On the implementation of implicit Runge-Kutta methods
• Geometric Numerical Integration
• An Algebraic Theory of Integration Methods
• A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems

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