Nonlinear wavelet methods for high-dimensional backward heat equation

DOI10.1007/s10114-013-1136-1zbMath1266.41014OpenAlexW2068111752MaRDI QIDQ1949659

Jin Ru Wang, Rui Li

Publication date: 14 May 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1136-1

zbMATH Keywords

convergencebackward heat equationnonlinear wavelet method

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Rate of convergence, degree of approximation (41A25)

Cites Work

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• The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem
• Shannon wavelet regularization methods for a backward heat equation
• Fourier regularization for a backward heat equation
• ERROR ESTIMATES ON A BACKWARD HEAT EQUATION BY A WAVELET DUAL LEAST SQUARES METHOD
• A spectral method for an axisymmetric backward heat equation
• Ten Lectures on Wavelets
• Solving the sideways heat equation by a wavelet - Galerkin method
• Optimality for ill-posed problems under general source conditions
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation

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