A New Numerical Method for Backward Parabolic Problems in the Maximum-Norm Setting

DOI10.1137/S0036142901386422zbMath1030.65101MaRDI QIDQ4785821

J. M. Marbán, César Palencia

Publication date: 5 January 2003

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

zbMATH Keywords

algorithmnumerical exampleserror boundsIll-posed problemBanach spacebackward parabolic problemmaximum-norm setting

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear differential equations in abstract spaces (34G10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

Recovery of an initial temperature from discrete sampling ⋮ Solving a backward heat conduction problem by variational method ⋮ Reconstructing the past from imprecise knowledge of the present: Effective non‐uniqueness in solving parabolic equations backward in time ⋮ Stability and regularization of a backward parabolic PDE with variable coefficients

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