Runge-Kutta convolution quadrature for operators arising in wave propagation
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Publication:639371
DOI10.1007/s00211-011-0378-zzbMath1227.65027OpenAlexW2129647233MaRDI QIDQ639371
Christian Lubich, Lehel Banjai, Jens Markus Melenk
Publication date: 20 September 2011
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-011-0378-z
Laplace transformnumerical examplestransfer functionerror boundsRunge-Kutta methodorder of convergenceconvolution quadratureapplication to acoustic scatteringRunge-Kutta convolution quadrature
Hydro- and aero-acoustics (76Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Laplace transform (44A10) Numerical integration (65D30)
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Cites Work
- Unnamed Item
- Unnamed Item
- An error analysis of Runge-Kutta convolution quadrature
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Convolution quadrature revisited
- Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves
- Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering
- Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments
- Sparse convolution quadrature for time domain boundary integral formulations of the wave equation
- Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
- Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
- Rapid Solution of the Wave Equation in Unbounded Domains
- A Finite Difference Delay Modeling Approach to the Discretization of the Time Domain Integral Equations of Electromagnetics
- Numerical treatment of retarded boundary integral equations by sparse panel clustering
- Fast and Oblivious Convolution Quadrature