Stabilized Richardson leapfrog scheme in explicit stepwise computation of forward or backward nonlinear parabolic equations

DOI10.1080/17415977.2017.1281270zbMath1398.65205OpenAlexW2573063696MaRDI QIDQ4638154

Alfred S. Carasso

Publication date: 3 May 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1281270

zbMATH Keywords

multidimensional nonlinear parabolic equationsRobert-Asselin-Williams filterFFT Laplacian stabilizationforward or backward time marchingill-posed continuationleapfrog explicit scheme

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Ill-posed problems for PDEs (35R25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (6)

Stable backward diffusion models that minimise convex energies ⋮ A discrete theory and efficient algorithms for forward-and-backward diffusion filtering ⋮ Stabilized backward in time explicit marching schemes in the numerical computation of ill-posed time-reversed hyperbolic/parabolic systems ⋮ Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers' equation ⋮ Computing ill-posed time-reversed 2D Navier–Stokes equations, using a stabilized explicit finite difference scheme marching backward in time ⋮ Stabilized leapfrog scheme run backward in time, and the explicit O(Δ t)² stepwise computation of ill-posed time-reversed 2D Navier–Stokes equations

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