Hermite spectral and pseudospectral methods for numerical differentiation

DOI10.1016/j.apnum.2011.09.006zbMath1231.65051OpenAlexW2002080408MaRDI QIDQ651097

Zhen-Yu Zhao, Jun-Feng Liu

Publication date: 8 December 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.09.006

zbMATH Keywords

regularizationnumerical differentiationdiscrepancy principleill-posed problemHermite spectral method

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (7)

An a posteriori truncation method for some Cauchy problems associated with Helmholtz-type equations ⋮ An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition ⋮ A Hermite extension method for numerical differentiation ⋮ Hermite spectral method for solving inverse heat source problems in multiple dimensions ⋮ An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems ⋮ The general \textit{a posteriori} truncation method and its application to radiogenic source identification for the helium production-diffusion equation ⋮ A TRUNCATION METHOD BASED ON HERMITE EXPANSION FOR UNKNOWN SOURCE IN SPACE FRACTIONAL DIFFUSION EQUATION

Cites Work

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• A new approach to numerical differentiation
• Fourier truncation method for high order numerical derivatives
• A modified method for high order numerical derivatives
• Reconstruction of high order derivatives by new mollification methods
• Discrete mollification and automatic numerical differentiation
• Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side
• Abel integral equations. Analysis and applications
• A mollification method for ill-posed problems
• A new approach to numerical differentiation and integration
• Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation
• Stable approximation of fractional derivatives of rough functions
• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Numerical differentiation for periodic functions
• The discrepancy principle for a class of regularization methods
• Reconstruction of high order derivatives from input data
• Stable nunerical fractional differentiation by mollification
• Hermite pseudospectral method for nonlinear partial differential equations
• Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems
• A numerical differentiation method and its application to reconstruction of discontinuity
• Resolution enhancement of spectra using differentiation
• Equivalent Norms for Sobolev Spaces
• Numerical Differentiation and Regularization

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