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05/18/2023
Generalized convolution quadrature based on the trapezoidal rule
We present a novel generalized convolution quadrature method that accura...
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12/14/2022
Runge-Kutta convolution quadrature based on Gauss methods
An error analysis of Runge-Kutta convolution quadrature based on Gauss m...
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10/28/2022
Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
We develop a numerical method for the Westervelt equation, an important ...
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03/02/2022
A modified convolution quadrature combined with the method of fundamental solutions and Galerkin BEM for acoustic scattering
We describe a numerical method for the solution of acoustic exterior sca...
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03/02/2022
Implicit/explicit, BEM/FEM coupled scheme for acoustic waves with the wave equation in the second order formulation
Acoustic scattering of waves by bounded inhomogeneities in an unbounded ...
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03/01/2022
A posteriori error analysis for approximations of time-fractional subdiffusion problems
In this paper we consider a sub-diffusion problem where the fractional t...
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12/08/2020
Numerical analysis of a wave equation for lossy media obeying a frequency power law
We study a wave equation with a nonlocal time fractional damping term th...
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11/11/2020
Exponential Convergence of hp FEM for Spectral Fractional Diffusion in Polygons
For the spectral fractional diffusion operator of order 2s∈ (0,2) in bou...
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09/16/2020
Strong convergence of a Verlet integrator for the semi-linear stochastic wave equation
The full discretization of the semi-linear stochastic wave equation is c...
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05/28/2020
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature
Generalized impedance boundary conditions are effective, approximate bou...
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04/22/2020
hp-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains
In bounded, polygonal domains Ω⊂R^2 with Lipschitz boundary ∂Ω consistin...
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08/04/2019