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08/04/2023
Higher order discrete gradient method by the discontinuous Galerkin time-stepping method
Many differential equations with physical backgrounds are described as g...
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06/27/2023
Matrix equation representation of convolution equation and its unique solvability
We consider the convolution equation F*X=B, where F∈ℝ^3× 3 and B∈ℝ^m× n ...
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06/25/2023
Computing the matrix exponential with the double exponential formula
This paper considers the computation of the matrix exponential e^A with ...
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06/20/2023
A sharp discrete maximal regularity for the discontinuous Galerkin time-stepping method
Maximal regularity is a kind of a priori estimates for parabolic-type eq...
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03/28/2023
Discrete maximal regularity for the finite element approximation of the Stokes operator and its application
Maximal regularity for the Stokes operator plays a crucial role in the t...
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03/22/2023
Migrating elastic flows
Huisken's problem asks whether there is an elastic flow of closed planar...
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08/25/2022
L^p-resolvent estimate for finite element approximation of the Stokes operator
In this paper, we will show the L^p-resolvent estimate for the finite el...
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08/01/2022
Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities
In this paper, we consider numerical approximation of constrained gradie...
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05/10/2021
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy
In this paper, we present a novel investigation of the so-called SAV app...
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12/03/2020
Computing the matrix fractional power based on the double exponential formula
Two quadrature-based algorithms for computing the matrix fractional powe...
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10/15/2019