Using the Cayley transform and finite elements to solve linear time dependent problems

DOI10.1016/j.camwa.2004.10.008zbMath1066.65102OpenAlexW2018503129MaRDI QIDQ1770678

Xianqiang Yang

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.008

zbMATH Keywords

comparison of methodsnumerical examplesFinite elementsCayley transformParabolic equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Galerkin finite element methods for parabolic problems
• A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform
• The cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in hilbert space
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