Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments

@article{Banjai2010MultistepAM,
  title={Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments},
  author={Lehel Banjai},
  journal={SIAM J. Scientific Computing},
  year={2010},
  volume={32},
  pages={2964-2994}
}
We describe how a time-discretized wave equation in a homogeneous medium can be solved by boundary integral methods. The time discretization can be a multistep, Runge–Kutta, or a more general multistep-multistage method. The resulting convolutional system of boundary integral equations belongs to the family of convolution quadratures of Lubich. The aim of this work is twofold. It describes an efficient, robust, and easily parallelizable method for solving the semidiscretized system. The… CONTINUE READING
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Ch

  • E. Hairer
  • Lubich, and M. Schlichte, Fast numerical solution…
  • 1985
Highly Influential
5 Excerpts

Convolution quadrature Galerkin boundary element method for the wave equation with reduced quadrature weight computation

  • D. J. Chappell
  • IMA J. Numer. Anal., to appear.
  • 2010
1 Excerpt

Fast numerical solution of nonlinear Volterra convolution equations

  • Ch. Lubich, M. Schlichte
  • IMA J . Numer . Anal .
  • 2009

Hierarchische Matrizen

  • W. Hackbusch
  • Algorithmen und Analysis, Springer, Berlin…
  • 2009
2 Excerpts

Highly stable general linear methods for differential systems

  • R. D’Ambrosio, G. Izzo, Z. Jackiewicz
  • AIP Conf. Proc.,
  • 2009
2 Excerpts

Multistep and multistage boundary integral methods for the wave equation

  • L. Banjai
  • AIP Conf. Proc., 1168
  • 2009
2 Excerpts

Parallel Multistep Methods for Linear Evolution Problems

  • L. Banjai, D. Peterseim
  • Technical Report 26, MPI for Mathematics in the…
  • 2009
1 Excerpt

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