A Second-order Diagonally-Implicit-Explicit Multi-Stage Integration Method
نویسندگان
چکیده
منابع مشابه
Embedded Singly Diagonally Implicit Runge-Kutta –Nystrom Method Order 5(4) for the Integration of Special Second Order ODEs
In this paper a new embedded Singly Diagonally Implicit Runge-Kutta Nystrom fourth order in fifth order method for solving special second order initial value problems is derived. A standard set of test problems are tested upon and comparisons on the numerical results are made when the same set of test problems are reduced to first order systems and solved using the existing embedded diagonally ...
متن کاملA second-order accurate in time IMplicit-EXplicit (IMEX) integration scheme for sea ice dynamics
11 Current sea ice models use numerical schemes based on a splitting in time 12 between the momentum and continuity equations. Because the ice strength 13 is explicit when solving the momentum equation, this can create unrealis14 tic ice stress gradients when using a large time step. As a consequence, 15 noise develops in the numerical solution and these models can even become 16 numerically un...
متن کاملSingly diagonally implicit Runge-Kutta methods with an explicit first stage
The purpose of this paper is to construct methods for solving stiff ODEs, in particular singular perturbation problems. We consider embedded pairs of singly diagonally implicit Runge-Kutta methods with an explicit first stage (ESDIRKs). Stiffly accurate pairs of order 3/2, 4/3 and 5/4 are constructed. AMS Subject Classification: 65L05
متن کاملImplicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning
A high-order implicit-explicit additive Rung-Kutta time integrator is implemented in a particle-in-cell method based on a high-order discontinuous Galerkin Maxwell solver for simulation of plasmas. The method satisfies Gauss law using a hyperbolic divergence cleaner that transports divergence out of the computational domain at several times the speed of light. The stiffness in the field equatio...
متن کاملHigh-accuracy alternating segment explicit-implicit method for the fourth-order heat equation
Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-impli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Procedia Computer Science
سال: 2012
ISSN: 1877-0509
DOI: 10.1016/j.procs.2012.04.112