𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Boundary conditions for multistep finite-difference methods for time-dependent equations

✍ Scribed by David Gottlieb; Eli Turkel


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
886 KB
Volume
26
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Novel explicit finite-difference schemes
✍ Ronald E. Mickens 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 425 KB

We present several new finite-difference schemes that can be used to numerically integrate the time-dependent Schrodinger equation. These schemes are explicit and use an Euler-type expression for the discrete time derivative. However, the second-order space derivative is modeled by a novel form not

Nonreflecting Boundary Conditions for th
✍ Bradley Alpert; Leslie Greengard; Thomas Hagstrom 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 264 KB

We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrat

On the treatment of time-dependent bound
✍ B. P. Sommeijer; P. J. van der Houwen; J. G. Verwer 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 903 KB

## Abstract Splitting methods for time‐dependent partial differential equations usually exhibit a drop in accuracy if boundary conditions become time‐dependent. This phenomenon is investigated for a class of splitting methods for two‐space dimensional parabolic partial differential equations. A bou

Finite element formulation of exact non-
✍ Lonny L. Thompson; Runnong Huan 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB 👁 2 views

A modiÿed version of an exact Non-re ecting Boundary Condition (NRBC) ÿrst derived by Grote and Keller is implemented in a ÿnite element formulation for the scalar wave equation. The NRBC annihilate the ÿrst N wave harmonics on a spherical truncation boundary, and may be viewed as an extension of th

Nonreflecting Boundary Conditions for Ti
✍ Marcus J. Grote; Joseph B. Keller 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 446 KB

of the ordinary differential equation which occurs in the boundary condition. An exact nonreflecting boundary condition was derived previously for use with the time dependent wave equation in three Finally, we shall solve a sequence of scattering problems space dimensions. Here it is shown how to c