High order time discretization methods with the strong stability property
| dc.contributor.author | Gottlieb, Sigal | |
| dc.contributor.author | Shu, Chi-Wang | |
| dc.contributor.author | Tadmor, Eitan | |
| dc.date.accessioned | 2008-10-20T17:59:50Z | |
| dc.date.available | 2008-10-20T17:59:50Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | In this paper we review and further develop a class of strong stability-preserving (SSP) high-order time discretizations for semidiscrete method of lines approximations of partial differential equations.Previously termed TVD (total variation diminishing) time discretizations, these high-order time discretization methods preserve the strong stability properties of first-order Euler time stepping and have proved very useful, especially in solving hyperbolic partial differential equations.The new developments in this paper include the construction of optimal explicit SSP linear Runge–Kutta methods, their application to the strong stability of coercive approximations, a systematic study of explicit SSP multistep methods for nonlinear problems, and the study of the SSP property of implicit Runge–Kutta and multistep methods. | en |
| dc.format.extent | 536703 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | S. Gottlieb, C.-W. Shu & E. Tadmor (2001). High order time discretization methods with the strong stability property. SIAM Review 43 (2001) 89-112. | en |
| dc.identifier.uri | http://hdl.handle.net/1903/8648 | |
| dc.language.iso | en_US | en |
| dc.publisher | Copyright: Society for Industrial and Applied Mathematics | en |
| dc.relation.isAvailableAt | College of Computer, Mathematical & Physical Sciences | en_us |
| dc.relation.isAvailableAt | Mathematics | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, MD) | en_us |
| dc.subject | strong stability preserving | en |
| dc.subject | Runge–Kutta methods | en |
| dc.subject | multistep methods | en |
| dc.subject | high-order accuracy | en |
| dc.subject | time discretization | en |
| dc.title | High order time discretization methods with the strong stability property | en |
| dc.type | Article | en |