Taylor series approach for function approximation using `estimated' higher derivatives

DOI10.1016/J.AMC.2016.02.061zbMath1410.41044OpenAlexW2305421735MaRDI QIDQ1733447

Gautam Sarkar, Suchismita Ghosh, Anish Deb

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.061

zbMATH Keywords

error analysisTaylor seriesfunction approximationhigher `pseudo' derivative estimator

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Computation and application of robust data-driven bandwidth selection for gradient function estimation

Cites Work

• Unnamed Item
• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• Application of Taylor series in obtaining the orthogonal operational matrix
• Block pulse functions and their applications in control systems
• Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind
• Piecewise constant orthogonal functions and their application to systems and control
• New Taylor series approach to state-space analysis and optimal control of linear systems
• Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation
• Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series
• An effective approach to the optimal-control problem for time-varying linear systems via Taylor series
• Solutions of integral equations via Taylor series
• Analysis and parameter identification of time-delay systems via Taylor series
• Analysis of Time-delay Systems via Hybrid of Block-pulse Functions and Taylor Series

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