The numerical differentiation of discrete functions using polynomial interpolation methods

DOI10.1016/0096-3003(82)90204-1zbMath0493.65007OpenAlexW2034760605MaRDI QIDQ1168686

Bernard Larrouturou, James M. Hyman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0096-3003(82)90204-1

zbMATH Keywords

nonuniform gridsspatial derivativesFortran subroutine packageinterpolation of tabular data

Mathematics Subject Classification ID

Numerical differentiation (65D25) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

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A divide-and-conquer algorithm for grid generation, Numerical methods for tracking interfaces, Computing for pattern forming systems in nonlinear optics, Numerical methods for inverse problems in three-dimensional geophysical modeling, The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension, Dynamic rezone methods for partial differential equations in one space dimension, High order finite volume approximations of differential operators on nonuniform grids, Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation

Cites Work

• Multiple spatial and temporal scales method for numerical simulation of non-classical heat conduction problems: one dimensional case
• Quasiconformal Mappings and Grid Generation
• A High-Order Difference Method for Differential Equations
• Optimal Few-Point Discretizations of Linear Source Problems
• Symbolic Generation of Finite Difference Formulas
• FINITE DIFFERENCE FORMULAE FOR THE SQUARE LATTICE
• Formulae for Numerical Differentiation
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