Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients II: Some Related Binomial Coefficients Inequalities

DOI10.4208/jcm.2009.27.4.014zbMath1199.65307OpenAlexW3150017266MaRDI QIDQ5897156

Xin Wen, Shih Jin

Publication date: 12 February 2010

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2009.27.4.014

zbMATH Keywords

convergenceLiouville equationsCourant-Friedrichs-Lewy conditionsemiclassical limitcounter examplediscontinuous potentialsHamiltonian preserving schemes\(l^1\)-stability

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential ⋮ A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation ⋮ Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds

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