A New Optimality Property of Strang’s Splitting
![Thumbnail](/xmlui/bitstream/handle/10234/204946/versi%c3%b3%20post-print%20de%20l%27autor.jpg?sequence=6&isAllowed=y)
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
A New Optimality Property of Strang’s SplittingFecha de publicación
2023Editor
Society for Industrial and Applied MathematicsISSN
0036-1429; 1095-7170Cita bibliográfica
CASAS, Fernando; SANZ-SERNA, Jesús María; SHAW, Luke. A New Optimality Property of Strang’s Splitting. SIAM Journal on Numerical Analysis, 2023, 61.3: 1369-1385Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://epubs.siam.org/doi/abs/10.1137/22M1528690Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
For systems of the form ̇q = M−1 p, ̇p = −Aq + f(q), common in many applications, we analyze splitting
integrators based on the (linear/nonlinear) split systems ̇q = M−1 p, ̇p = −Aq and ̇q = 0, ̇p = f(q). We ... [+]
For systems of the form ̇q = M−1 p, ̇p = −Aq + f(q), common in many applications, we analyze splitting
integrators based on the (linear/nonlinear) split systems ̇q = M−1 p, ̇p = −Aq and ̇q = 0, ̇p = f(q). We show that the
well-known Strang splitting is optimally stable in the sense that, when applied to a relevant model problem, it has a larger
stability region than alternative integrators. This generalizes a well-known property of the common St ̈ormer/Verlet/leapfrog
algorithm, which of course arises from Strang splitting based on the (kinetic/potential) split systems ̇q = M−1 p, ̇p = 0 and
q ̇ = 0, ̇p = −Aq + f(q). [-]
Publicado en
SIAM Journal on Numerical Analysis, 2023, 61.3: 1369-1385Entidad financiadora
Ministerio de Ciencia e Innovación (España) | Fondo Europeo de Desarrollo Regional (FEDER)
Código del proyecto o subvención
PID2019-104927GB-C21 | MCIN/AEI/10.13039/501100011033
Derechos de acceso
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [765]