Some properties of orthogonal linear splines and their applications to inverse problems

DOI10.1080/00036811.2021.1965579zbMath1509.65008OpenAlexW4213060682MaRDI QIDQ6038986

Hossein Aminikhah, Javad Alavi

Publication date: 3 May 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1965579

zbMATH Keywords

inverse problemsTikhonov regularizationill-posedO-splinetrust-region-dogleg method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Ill-posedness and regularization problems in numerical linear algebra (65F22) Nonlinear ill-posed problems (47J06) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
• A new investigation into regularization techniques for the method of fundamental solutions
• A numerical technique for solving IHCPs using Tikhonov regularization method
• Haar wavelet method for solving Fisher's equation
• Box splines
• Orthogonal splines based on \(B\)-splines -- with applications to least squares, smoothing and regularisation problems
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• An inverse problem of finding a source parameter in a semilinear parabolic equation
• Solving an inverse heat conduction problem using genetic algorithm: sequential and multi-core parallelization approach
• A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction
• On the phase Stefan problem subject to the specification of energy
• Trefftz energy method for solving the Cauchy problem of the Laplace equation
• A regularization method for solving the radially symmetric backward heat conduction problem
• A stable numerical algorithm for identifying the solution of an inverse problem
• A fundamental solution method for inverse heat conduction problem
• An inverse heat conduction problem with a nonlinear source term
• Numerical methods for solving inverse problems of mathematical physics.
• RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS
• A reaction-diffusion system arising in modelling man-environment diseases
• A Trust Region Algorithm for Nonlinearly Constrained Optimization
• Fourier regularization method for solving a Cauchy problem for the Laplace equation
• NUMERICAL STUDY OF ROSENAU-KDV EQUATION USING FINITE ELEMENT METHOD BASED ON COLLOCATION APPROACH
• Inverse problems for partial differential equations

This page was built for publication: Some properties of orthogonal linear splines and their applications to inverse problems