On the Linear Stability of Splitting Methods
Ver/ Abrir
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
On the Linear Stability of Splitting MethodsFecha de publicación
2008Editor
Springer VerlagISSN
16153375Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
A comprehensive linear stability analysis of splitting methods is carried out by means of a 2 × 2 matrix K(x) with polynomial entries (the stability
matrix) and the stability polynomial p(x) (the trace of K(x) divided ... [+]
A comprehensive linear stability analysis of splitting methods is carried out by means of a 2 × 2 matrix K(x) with polynomial entries (the stability
matrix) and the stability polynomial p(x) (the trace of K(x) divided by two).
An algorithm is provided for determining the coefficients of all possible time-
reversible splitting schemes for a prescribed stability polynomial. It is shown that p(x) carries essentially all the information needed to construct processed
splitting methods for numerically approximating the evolution of linear systems. By selecting conveniently the stability polynomial, new integrators with
processing for linear equations are built which are orders of magnitude more efficient than other algorithms previously available. [-]
Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [751]