Numerical solution of the equation of heat conduction for preceding times

DOI10.1007/BF02416528zbMath0066.10504MaRDI QIDQ766337

Fritz John

Publication date: 1955

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

numerical analysis

Related Items (29)

A model equation for nonlinear wavelength selection and amplitude evolution of frontal waves ⋮ Recovery of an initial temperature from discrete sampling ⋮ Two stable methods with numerical experiments for solving the backward heat equation ⋮ A novel estimation method for microstructural evolution based on data assimilation and phase field crystal model ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ Stable backward diffusion models that minimise convex energies ⋮ Le problème de Cauchy pour le passé pour quelques équations paraboliques ⋮ On parabolic final value problems and well-posedness ⋮ A comparative study on applying the method of fundamental solutions to the backward heat conduction problem ⋮ Finite elements for parabolic equations backwards in time ⋮ A Class of Well-Posed Parabolic Final Value Problems ⋮ Isomorphic well-posedness of the final value problem for the heat equation with the homogeneous Neumann condition ⋮ Stability of Bounded Solutions of Linear Functional Equations ⋮ The Gaussian Toeplitz matrix ⋮ Well-posed final value problems and Duhamel's formula for coercive Lax-Milgram operators ⋮ On an inverse problem: recovery of non-smooth solutions to backward heat equation ⋮ A numerical method for backward parabolic problems with non-selfadjoint elliptic operators ⋮ Logical foundations of applied mathematics ⋮ Linear and nonlinear ill-posed problems ⋮ A deterministic view of a statistical method for stable extension of unstable linear problems ⋮ Convolution regularization method for backward problems of linear parabolic equations ⋮ On the Numerical Computation of Parabolic Problems for Preceding Times ⋮ Stability results for the heat equation backward in time ⋮ Final value problems for parabolic differential equations and their well-posedness ⋮ Solving inverse problems using data-driven models ⋮ Convergence analysis of gradient descend methods generated by two different functionals in a backward heat conduction problem ⋮ Discussione del problema di Cauchy per le equazioni di tipo ellittico ⋮ A Well Posed Problem for the Backward Heat Equation ⋮ Determining a potential of the parabolic equation from partial boundary measurements ^*

Cites Work

• The convolution transform
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical solution of the equation of heat conduction for preceding times