A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear Problems
From MaRDI portal
Publication:3117481
DOI10.3970/cmes.2009.043.253zbMath1232.65021OpenAlexW96835777MaRDI QIDQ3117481
Chein-Shan Liu, Satya N. Atluri
Publication date: 27 February 2012
Full work available at URL: https://scholars.ttu.edu/en/publications/a-highly-accurate-technique-for-interpolations-using-very-high-or
inverse Laplace transformAbel integral equationVandermonde matricescharacteristic lengthnumerical derivatives of noisy datavery high-order polynomial interpolation
Related Items (13)
A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems ⋮ A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation ⋮ A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions ⋮ A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems ⋮ An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data ⋮ A new investigation into regularization techniques for the method of fundamental solutions ⋮ Optimally scaled vector regularization method to solve ill-posed linear problems ⋮ A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domain ⋮ A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy-Stokes problems ⋮ A globally optimal tri-vector method to solve an ill-posed linear system ⋮ A doubly optimized solution of linear equations system expressed in an affine Krylov subspace ⋮ Two-point generalized Hermite interpolation: double-weight function and functional recursion methods for solving nonlinear equations ⋮ A multiple-scale higher order polynomial collocation method for 2D and 3D elliptic partial differential equations with variable coefficients
This page was built for publication: A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear Problems
