Temporal, or "strict," stability of approximation to PDEs is much more difficult to achieve than the "classical" Lax stability. In this paper, we present a class of finitedifference schemes for hyperbolic initial boundary value problems in one and two space dimensions that possess the property of st
โฆ LIBER โฆ
Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II
โ Scribed by Saul S. Abarbanel; Alina E. Chertock; Amir Yefet
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 421 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0021-9991
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โฆ Synopsis
This paper deals with the problem of systems of hyperbolic PDEs in one and two space dimensions, using the theory of part I [7].
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We develop, implement, and demonstrate a reflectionless sponge layer for truncating computational domains in which the time-dependent Maxwell equations are discretized with high-order staggered nondissipative finite difference schemes. The well-posedness of the Cauchy problem for the sponge layer eq