RUNGE-KUTTA_METHODS

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相关机构：华东师范大学南京航空航天大学哈尔滨工业大学(威海)电子科技大学更多>>
相关期刊：《Journal of Computational Mathematics》《Advances in Aerodynamics》《Transactions of Nanjing University of Aeronautics and Astronautics》《Applied Mathematics and Mechanics(English Edition)》更多>>
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Stability Analysis and Performance Evaluation of Additive Mixed-Precision Runge-Kutta Methods
《Communications on Applied Mathematics and Computation》2024年第1期705-738,共34页Ben Burnett Sigal Gottlieb Zachary J.Grant 
supported by ONR UMass Dartmouth Marine and UnderSea Technology(MUST)grant N00014-20-1-2849 under the project S31320000049160;by DOE grant DE-SC0023164 sub-award RC114586-UMD;by AFOSR grants FA9550-18-1-0383 and FA9550-23-1-0037;supported by Michigan State University,by AFOSR grants FA9550-19-1-0281 and FA9550-18-1-0383;by DOE grant DE-SC0023164.
Additive Runge-Kutta methods designed for preserving highly accurate solutions in mixed-precision computation were previously proposed and analyzed.These specially designed methods use reduced precision for the implic...
关键词：Mixed precision Runge-Kutta methods Additive methods ACCURACY 
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
《Communications on Applied Mathematics and Computation》2022年第4期1191-1228,共38页Hendrik Ranocha Lisandro Dalcin Matteo Parsani David I.Ketcheson 
Open Access funding enabled and organized by Projekt DEAL.
We develop error-control based time integration algorithms for compressible fluid dynam-ics(CFD)applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime.Focusi...
关键词：Explicit Runge-Kutta methods Step size control Compressible Euler equations Compressible Navier-Stokes equations hp-adaptive spatial discretizations 
Enforcing Strong Stability of Explicit Runge-Kutta Methods with Superviscosity
《Communications on Applied Mathematics and Computation》2021年第4期671-700,共30页Zheng Sun Chi-Wang Shu 
supported by NSF Grants DMS-1719410 and DMS-2010107;by AFOSR Grant FA9550-20-1-0055.
A time discretization method is called strongly stable(or monotone),if the norm of its numerical solution is nonincreasing.Although this property is desirable in various of contexts,many explicit Runge-Kutta(RK)method...
关键词：Runge-Kutta(RK)methods Strong stability Superviscosity Hyperbolic conservation laws Discontinuous Galerkin methods 
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