Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes

Journal of Computational Physics

Volumn 133, Issue 2, 1997, Pages 279-288

  Abarbanel, Saul ^a   Ditkowski, Adi ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

ASYMPTOTICALLY STABLE; BOUNDED ERRORS; COMPLEX SHAPES; DIFFERENTIATION MATRICES; DIFFUSION EQUATIONS; DIRICHLET BOUNDARY CONDITION; FOURTH-ORDER; IMPORTANT FEATURES; RECTANGULAR GRIDS; SYMMETRICS;

BOUNDARY CONDITIONS;

EID: 0031570221     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5653     Document Type: Article

References (5)

1. 1. M. H. Carpenter, D. Gottlieb, and S. Abarbanel, Time Stable Boundary Conditions for Finite Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High Order Compact Schemes, NASA Contractor Report 191436, ICASE Report 93-9 (J. Comput. Phys., to appear).
2. 2. P. Olson, Summation by Parts, Projections and Stability, RIACS Technical Report 93.04 (June 1993).
3. 3. B. Strad, Summation by parts for finite difference approximations for d/dx (Department of Scientific Computing, Upsala University, Upsala, Sweden, August 1991).
4. 4. B. Gustafsson, H. O. Kreiss, and A. Sundström, Stability theory of difference approximations for mixed initial boundary value problems. II, Math. Comput. 26, 649 (1972).
5. 5. S. Abarbanel and A. Ditkowski, Multi-dimensional Asymptotically Stable 4th-Order Accurate Schemes for the Diffusion Equation, ICASE Report No. 96-8, February 1996.