A note on asymptotic splitting and its applications

DOI10.1016/0895-7177(94)90123-6zbMath0822.65046OpenAlexW1985668777MaRDI QIDQ1842790

Ravi P. Agarwal, Qin Sheng

Publication date: 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90123-6

zbMATH Keywords

method of linessystemgeneralized asymptotic splitting

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

Exponential splitting for \(n\)-dimensional paraxial Helmholtz equation with high wavenumbers ⋮ An operator splitting approach for two-dimensional Kawarada problems ⋮ Strang's formula for holomorphic semi-groups ⋮ Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces ⋮ Adaptive decomposition finite difference methods for solving singular problems -- a review ⋮ A simulation of crystallinity gradients developed in slowly crystallizing injection molded polymers via parallel splitting ⋮ An extrapolated splitting method for solving semi-discretized parabolic differential equations

Cites Work

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• Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
• Solving Linear Partial Differential Equations by Exponential Splitting
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Global error estimates for exponential splitting
• Nth-Order Operator Splitting Schemes and Nonreversible Systems
• On the Construction and Comparison of Difference Schemes

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