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pro vyhledávání: '"Tranquilli, Paul"'
Autor:
Tranquilli, Paul J.
Many scientific and engineering applications require the solution of large systems of initial value problems arising from method of lines discretization of partial differential equations. For systems with widely varying time scales, or with complex p
Externí odkaz:
http://hdl.handle.net/10919/81974
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
Exponential integrators are special time discretization methods where the traditional linear system solves used by implicit schemes are replaced with computing the action of matrix exponential-like functions on a vector. A very general formulation of
Externí odkaz:
http://arxiv.org/abs/1701.06528
Publikováno v:
In Journal of Computational Physics 1 January 2022 448
This paper develops a new class of linearly implicit time integration schemes called Linearly-Implicit Runge-Kutta-W (LIRK-W) methods. These schemes are based on an implicit-explicit approach which does not require a splitting of the right hand side
Externí odkaz:
http://arxiv.org/abs/1611.07013
Autor:
Sarshar, Arash, Tranquilli, Paul, Pickering, Brent, McCall, Andrew, Sandu, Adrian, Roy, Christopher J.
Publikováno v:
Computers & Fluids, Volume 159, 15 Dec. 2017, PP. 53-63
This paper is concerned with the development and testing of advanced time-stepping methods suited for the integration of time-accurate, real-world applications of computational fluid dynamics (CFD). The performance of several time discretization meth
Externí odkaz:
http://arxiv.org/abs/1607.06834
Publikováno v:
In Journal of Computational and Applied Mathematics 15 March 2021 385
This study considers using Metropolis-Hastings algorithm for stochastic simulation of chemical reactions. The proposed method uses SSA (Stochastic Simulation Algorithm) distribution which is a standard method for solving well-stirred chemically react
Externí odkaz:
http://arxiv.org/abs/1410.8155
Linearly implicit Runge-Kutta methods with approximate matrix factorization can solve efficiently large systems of differential equations that have a stiff linear part, e.g. reaction-diffusion systems. However, the use of approximate factorization us
Externí odkaz:
http://arxiv.org/abs/1408.3622