Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation
نویسندگان
چکیده
منابع مشابه
Implicit-Explicit methods for hyperbolic systems with hyperbolic and parabolic relaxation
In this talk we discuss the problem of constructing effective high order methods for the numerical solution of hyperbolic systems of balance laws, in presence of stiff source. Because of the stiffness, the use of implicit integrators is advisable, so that no restrictions on the time step due to small relaxation time will appear. Two different relaxation systems will be considered, namely hyperb...
متن کاملStability of implicit - explicit linear multistep methods
In many applications, large systems of ordinary di erential equations (ODEs) have to be solved numerically that have both sti and nonsti parts. A popular approach in such cases is to integrate the sti parts implicitly and the nonsti parts explicitly. In this paper we study a class of implicit-explicit (IMEX) linear multistep methods intended for such applications. The paper focuses on the linea...
متن کاملImplicit-explicit multistep methods for quasilinear parabolic equations
Efficient combinations of implicit and explicit multistep methods for nonlinear parabolic equations were recently studied in [1]. In this note we present a refined analysis to allow more general nonlinearities. The abstract theory is applied to a quasilinear parabolic equation. Dedicated to Professor Vidar Thomée on the occasion of his 65 birthday, August 20, 1998
متن کاملImplicit-explicit multistep methods for nonlinear parabolic equations
Implicit–explicit multistep methods for nonlinear parabolic equations were recently analyzed in [2, 3, 1]. In these papers the linear operator of the equation is assumed time-independent, self-adjoint and positive definite; then, the linear part is discretized implicitly and the remaining part explicitly. Here we slightly relax the hypotheses on the linear operator by allowing part of it to be ...
متن کاملImplicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems
Implicit–explicit (IMEX) linear multistep methods are examined with respect to their suitability for the integration of fast-wave–slow-wave problems in which the fast wave has relatively low amplitude and need not be accurately simulated. The widely used combination of trapezoidal implicit and leapfrog explicit differencing is compared to schemes based on Adams methods or on backward differenci...
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: SIAM Journal on Scientific Computing
سال: 2020
ISSN: 1064-8275,1095-7197
DOI: 10.1137/19m1303290