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

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

Argonne National Laboratory

关键词: Numerical Solution;    Boundary Conditions;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Efficiency;    Computer Calculations;   

DOI  :  10.2172/967031
RP-ID  :  ANL/MCS-TM-304
RP-ID  :  DE-AC02-06CH11357
RP-ID  :  967031

美国|其它

来源: UNT Digital Library

【 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.