3 papers
math.NA2025
A preconditioning technique of Gauss--Legendre quadrature for the logarithm of symmetric positive definite matrices
Fuminori Tatsuoka, Tomohiro Sogabe, Tomoya Kemmochi +1
This note considers the computation of the logarithm of symmetric positive definite matrices using the Gauss--Legendre (GL) quadrature. The GL quadrature becomes slow when the cond…
math.NA2024
Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor
Takahito Kashiwabara, Tomoya Kemmochi
Maximal regularity is a kind of a priori estimates for parabolic-type equations and it plays an important role in the theory of nonlinear differential equations. The aim of this pa…
math.AP2024
Migrating elastic flows
Tomoya Kemmochi, Tatsuya Miura
Huisken's problem asks whether there is an elastic flow of closed planar curves that is initially contained in the upper half-plane but `migrates' to the lower half-plane at a posi…