Optimal explicit strong-stability-preserving general linear methods.

Journal Article · Thu Jul 01 00:00:00 EDT 2010 · SIAM J. Sci. Comput.

DOI:https://doi.org/10.1137/090766206· OSTI ID:1008279

Constantinescu, E; Sandu, A ^[1]

---

1. Mathematics and Computer Science

This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods generalize both Runge-Kutta (RK) and linear multistep schemes. They have high stage orders and hence are less susceptible than RK methods to order reduction from source terms or nonhomogeneous boundary conditions. A global optimization strategy is used to find the most efficient schemes that have low storage requirements. Numerical results illustrate the theoretical findings.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC); National Science Foundation (NSF)
• DOE Contract Number: DE-AC02-06CH11357
• OSTI ID: 1008279
• Report Number(s): ANL/MCS/JA-63662; TRN: US201106%%192
• Journal Information: SIAM J. Sci. Comput., Vol. 32, Issue 5 ; Jul. 2010
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
BOUNDARY CONDITIONS
OPTIMIZATION
PARTIAL DIFFERENTIAL EQUATIONS
RUNGE-KUTTA METHOD