Generalized convolution quadrature with variable time stepping
نویسندگان
چکیده
منابع مشابه
A Generalized Convolution Quadrature with Variable Time Stepping
In this paper, we will present a generalized convolution quadrature for solving linear parabolic and hyperbolic evolution equations. The original convolution quadrature method by Lubich works very nicely for equidistant time steps while the generalization of the method and its analysis to non-uniform time stepping is by no means obvious. We will introduce the generalized convolution quadrature ...
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In this paper, we will address the implementation of the Generalized Convolution Quadrature (GCQ) presented and analyzed in [M. LópezFernández, S. Sauter: A Generalized Convolution Quadrature with Variable Time Stepping, Preprint 17-2011, University of Zurich (2011)] for solving linear parabolic and hyperbolic evolution equations. Our main goal is to overcome the current restriction to uniform ...
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Convolution equations for time and space-time problems have many important applications, e.g., for the modelling of wave or heat propagation via ordinary and partial differential equations as well as for the corresponding integral equation formulations. For their discretization, the convolution quadrature (CQ) has been developed since the late 1980’s and is now one of the most popular method in...
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We consider time domain acoustic scattering from a penetrable medium with a variable sound speed. This problem can be reduced to solving a time domain volume Lippmann-Schwinger integral equation. Using convolution quadrature in time and trigonometric collocation in space we can compute an approximate solution. We prove that the time domain Lippmann-Schwinger equation has a unique solution and p...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2013
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drs034