3 papers
math.NA2021
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy
Tomoya Kemmochi, Shun Sato
In this paper, we present a novel investigation of the so-called SAV approach, which is a framework to construct linearly implicit geometric numerical integrators for partial diffe…
math.NA2020
Computing the matrix fractional power with the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake +2
Two quadrature-based algorithms for computing the matrix fractional power are presented in this paper. These algorithms are based on the double exponential (DE) formula, whic…
math.NA2019
Modified Strang splitting for semilinear parabolic problems
Kosuke Nakano, Tomoya Kemmochi, Yuto Miyatake +2
We consider applying the Strang splitting to semilinear parabolic problems. The key ingredients of the Strang splitting are the decomposition of the equation into several parts and…