Galerkin method with trigonometric basis on stable numerical differentiation

DOI10.1016/J.AMC.2019.124912zbMath1433.65027arXiv1903.03978OpenAlexW2990478804WikidataQ126668498 ScholiaQ126668498MaRDI QIDQ2287621

Yidong Luo

Publication date: 21 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03978

zbMATH Keywords

Galerkin methodFourier expansionregularizationnumerical differentiation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical differentiation (65D25) Volterra integral equations (45D05)

Related Items (1)

An FFT method for the numerical differentiation

Cites Work

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• Stable numerical differentiation for the second order derivatives
• A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions
• A wavelet-Galerkin method for high order numerical differentiation
• The use of higher order finite difference schemes is not dangerous
• Numerical solution of the three-dimensional advection--diffusion equation.
• Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method
• Generalized inverses. Theory and applications.
• A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation
• A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation
• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Finite-Dimensional Approximation Settings for Infinite-dimensional Moore–Penrose Inverses
• On the nature of ill-posedness of an inverse problem arising in option pricing
• Reconstruction of numerical derivatives from scattered noisy data
• A numerical differentiation method and its application to reconstruction of discontinuity
• Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates
• Detection of irregular points by regularization in numerical differentiation and application to edge detection
• Numerical Differentiation and Regularization
• A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE
• Linear integral equations
• An introduction to the mathematical theory of inverse problems

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