Lanczos' generalized derivative: Insights and applications

DOI10.1016/S0096-3003(99)00048-XzbMath1023.65016MaRDI QIDQ1569234

Darrell L. Hicks, Lorie M. Liebrock

Publication date: 25 June 2000

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

zbMATH Keywords

numerical differentiationsmoothed particle hydrodynamicshydrocodesdifferentiation by integration methodfinite interpolation methodsLanczos' derivativesmaterial dynamics

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (7)

Least squares and approximate differentiation ⋮ Differentiation by integration using orthogonal polynomials, a survey ⋮ Conservative smoothing with B-splines stabilizes SPH material dynamics in both tension and compression. ⋮ Maximal generalization of Lanczos' derivative using one-dimensional integrals ⋮ Constructing smoothing functions in smoothed particle hydrodynamics with applications. ⋮ HIGHER ACCURACY ORDER IN DIFFERENTIATION-BY-INTEGRATION ⋮ Numerical differentiation by integration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smoothed particle hydrodynamics stability analysis
• Conservative smoothing stabilizes discrete-numerical instabilities in SPH material dynamics computations
• Error Bounds for Numerical Solutions to Hydrodynamical Problems Involving Shocks
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Stability Analysis of WONDY (A Hydrocode Based on the Artificial Viscosity Method of von Neumann and Richtmyer) for a Special Case of Maxwell's Law
• Lanczo's Generalized Derivative
• A Method for the Numerical Calculation of Hydrodynamic Shocks

This page was built for publication: Lanczos' generalized derivative: Insights and applications