Optimal explicit strong-stability-preserving general linear methods : complete results.

Constantinescu, E. M. ; Sandu, A. ; Mathematics and Computer Science ; Virginia Polytechnic Inst. and State Univ.

关键词: PARTIAL DIFFERENTIAL EQUATIONS;    RUNGE-KUTTA METHOD;    BOUNDARY CONDITIONS;    COMPUTER CALCULATIONS;    EFFICIENCY;    NUMERICAL SOLUTION;   

DOI  :  10.2172/967031
RP-ID  :  ANL/MCS-TM-304
PID  :  OSTI ID: 967031
Others  :  TRN: US200923%%35

美国|英语

来源: SciTech Connect

【 摘 要 】

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.