Numerical solution of certain classes of transport equations in any dimension by Shannon sampling
type: Item
instance of: scholarly article
title: Numerical solution of certain classes of transport equations in any dimension by Shannon sampling
zbMATH Open document ID: 1187.65142
author: Romina Gobbi
author: Silvia Palpacelli
author: Renato Spigler
published in: Journal of Computational Physics
publication date: 2010-04-15T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 94A20
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 5693270
zbMATH Keywords: nonlinear transport equations
zbMATH Keywords: integro-differential hyperbolic equations
zbMATH Keywords: characteristics
zbMATH Keywords: Shannon sampling
zbMATH Keywords: Shannon wavelets
zbMATH Keywords: spectral method
zbMATH Keywords: information theory
zbMATH Keywords: signal processing
zbMATH Keywords: error estimates
zbMATH Keywords: cubic splines
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.jcp.2010.01.013
OpenAlex ID: W2053454891
cites work: Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
cites work: Monotonicity-preserving interpolation of nongridded data
cites work: Comonotone parametric \(C^ 1\) interpolation of nongridded data
cites work: Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
cites work: Crystal precipitation with discrete initial data
cites work: Orthogonal Sampling Formulas: A Unified Approach
cites work: NUMERICAL TREATMENT OF A NONLINEAR NONLOCAL TRANSPORT EQUATION MODELING CRYSTAL PRECIPITATION
cites work: Total variation diminishing Runge-Kutta schemes
cites work: The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space
cites work: The Shannon sampling theorem—Its various extensions and applications: A tutorial review
cites work: Q4003877
cites work: Whittaker's Cardinal Function in Retrospect
cites work: A Mathematical Theory of Communication
cites work: Approximations via Whittaker's cardinal function
cites work: A "Sinc-Galerkin" Method of Solution of Boundary Value Problems
cites work: Q3139836
cites work: Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
cites work: An energy-minimization framework for monotonic cubic spline interpolation
cites work: Q3510265
cites work: Q4319646
DOI: 10.1016/J.JCP.2010.01.013
description: scientific article; zbMATH DE number 5693270