Results 1 to 10 of about 106,106 (168)

Harnack Estimates for Nonlinear Backward Heat Equations in Geometric Flows [PDF]

open access: yesJournal of Functional Analysis, 2014
Let $M$ be a closed Riemannian manifold with a family of Riemannian metrics $g_{ij}(t)$ evolving by a geometric flow $\partial_{t}g_{ij} = -2{S}_{ij}$, where $S_{ij}(t)$ is a family of smooth symmetric two-tensors.
Guo, Hongxin, Ishida, Masashi
core   +2 more sources

Regularization of the backward heat equation via heatlets

open access: yesElectronic Journal of Differential Equations, 2008
Shen and Strang [16] introduced heatlets in order to solve the heat equation using wavelet expansions of the initial data. The advantage of this approach is that heatlets, or the heat evolution of the wavelet basis functions, can be easily computed ...
Emily McNabb   +2 more
doaj   +2 more sources

A new stability results for the backward heat equation

open access: yes, 2009
In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained.
Dinh, Alain Pham Ngoc   +3 more
core   +2 more sources

A noniterative domain decomposition method for the forward-backward heat equation [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2020
A nonoverlapping domain decomposition technique applied to a finite difference method is presented for the numerical solution of the forward backward heat equation in the case of one-dimension.
S. Banei, K. Shanazari
doaj   +1 more source

Quasi-boundary Value Method for Backward Heat Conduction Equation with Variable Coefficients

open access: yesJournal of Harbin University of Science and Technology, 2023
Aiming at the problem of inhomogeneous backward heat conduction equation with time-dependent coefficients in a one- dimensional region , the quasi-boundary value method is used to solve this problem.
YANGTianhao, SUNWei
doaj   +1 more source

Backward Uniqueness for the Heat Equation in Cones [PDF]

open access: yesCommunications in Partial Differential Equations, 2012
v2, typos ...
Li, Lu, Sverak, Vladimir
openaire   +2 more sources

Lipschitz Stability for Backward Heat Equation with Application to Fluorescence Microscopy [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2021
This second version of the manuscript includes, in the appendices, an erratum that points out an error on the published version and offers alternative results for the Lipschitz stability analysis of the backward heat propagation problem and its applications to light sheet fluorescence microscopy.
Pablo Arratia   +4 more
openaire   +4 more sources

Heat Equation as a Tool for Outliers Mitigation in Run-Off Triangles for Valuing the Technical Provisions in Non-Life Insurance Business

open access: yesRisks, 2022
Estimating outstanding claims reserves in the non-life insurance business is often impaired by outlier-contaminated datasets. Widely used methods to eliminate outliers in non-life development triangles are either limiting the number of outliers by robust
Jan Barlak   +3 more
doaj   +1 more source

Convergency and Stability of Explicit and Implicit Schemes in the Simulation of the Heat Equation

open access: yesApplied Sciences, 2021
Some strategies for solving differential equations based on the finite difference method are presented: forward time centered space (FTSC), backward time centered space (BTSC), and the Crank-Nicolson scheme (CN).
Franyelit Suárez-Carreño   +1 more
doaj   +1 more source

A Galerkin method for the forward-backward heat equation [PDF]

open access: yesMathematics of Computation, 1991
In this paper a new variational method is proposed for the numerical approximation of the solution of the forward-backward heat equation. The approach consists of first reducing the second-order problem to an equivalent first-order system, and then using a finite element procedure with continuous elements in both space and time for the numerical ...
Aziz, A. K., Liu, J.-L.
openaire   +1 more source

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