On the stability of implicit-explicit linear multistep methods

Stability 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...

RAPPORT Stability of implicit - explicit linear multistep methods

the effect of explicit versus implicit error correction on writing of iranian intermediate efl learners

در این پایان نامه دو روش اصلاح اشتباهات نوشتاری زبان آموزان بزرگسال ایرانی در سطح متوسط مورد بررسی قرار می گیرد. در روش اول (explicit) اشتباهات بطور مستقیم و در روش دوم (implicit) اشتباهات بصورت غیر مستقیم اصلاح می شود. برای انجام این تحقیق از دو گروه 15 نفری استفاده شده است. به زبان آموزان در هر جلسه یک موضوع انشا داده شده است. این کار در 15 هفته (15 جلسه) تکرار شده است. مقایسه نتایج این آزمون...

Stability of Implicit and Implicit–explicit Multistep Methods for Nonlinear Parabolic Equations

We analyze the discretization of nonlinear parabolic equations in Hilbert spaces by both implicit and implicit–explicit multistep methods and establish local stability under best possible and best possible linear stability conditions, respectively. Our approach is based on suitable quantifications of the non-self-adjointness of linear elliptic operators and a discrete perturbation argument.

Ju n 20 06 Implicit - explicit methods based on strong stability preserving multistep time discretizations ⋆

In this note we propose and analyze novel implicit-explicit methods based on second order strong stability preserving multistep time discretizations. Several schemes are developed, and a linear stability analysis is performed to study their properties with respect to the implicit and explicit eigenvalues. One of the proposed schemes is found to have very good stability properties, with implicit...