The Existence, Computation, and Number of Solutions of Periodic Parabolic Problems

DOI10.1137/0716034zbMath0411.65055OpenAlexW2093526369MaRDI QIDQ4198001

Michael Steuerwalt

Publication date: 1979

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0716034

zbMATH Keywords

periodic solutionsNewton's methodordinary differential equationsparabolic problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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An optimization framework for the computation of time-periodic solutions of partial differential equations ⋮ Periodic parabolic problem with discontinuous coefficients: Mathematical analysis and numerical simulation ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems ⋮ A new parareal waveform relaxation algorithm for time-periodic problems ⋮ A numerical method for the nonlinear Neumann problem

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