Publication: Generalized convolution quadrature based on Runge-Kutta methods
Generalized convolution quadrature based on Runge-Kutta methods
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Lopez-Fernandez, M., & Sauter, S. A. (2016). Generalized convolution quadrature based on Runge-Kutta methods. Numerische Mathematik, 133(4), 743–779. https://doi.org/10.1007/s00211-015-0761-2
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In this paper, we develop the Runge-Kutta generalized convolution quadrature with variable time stepping for the numerical solution of convolution equations for time and space-time problems and present the corresponding stability and convergence analysis. For this purpose, some new theoretical tools such as tensorial divided differences, summation by parts with Runge-Kutta differences and a calculus for Runge-Kutta discretizations of generalized convolution operators such as an associativity property will be developed in this paper. N
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- Lopez-Fernandez, Maria
- Sauter, Stefan A
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Lopez-Fernandez, M., & Sauter, S. A. (2016). Generalized convolution quadrature based on Runge-Kutta methods. Numerische Mathematik, 133(4), 743–779. https://doi.org/10.1007/s00211-015-0761-2
