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Time integration methods for solving initial value problems are an important component of many scientific and engineering simulations. Implicit time integrators are desirable for their stability properties, significantly relaxing restrictions on time
Externí odkaz:
http://arxiv.org/abs/2011.10685
The Rosenbrock-Krylov family of time integration schemes is an extension of Rosenbrock-W methods that employs a specific Krylov based approximation of the linear system solutions arising within each stage of the integrator. This work proposes an exte
Externí odkaz:
http://arxiv.org/abs/1910.02514
Publikováno v:
Applied Numerical Mathematics, 150 (2020) 233-251
Many scientific applications require the solution of large initial-value problems, such as those produced by the method of lines after semi-discretization in space of partial differential equations. The computational cost of implicit time discretizat
Externí odkaz:
http://arxiv.org/abs/1908.10531
Publikováno v:
In Journal of Computational and Applied Mathematics 15 March 2021 385
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