DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA–MCKENDRICK EQUATION WITH FINITE LIFE-SPAN

DOI10.1142/S0218202506001108zbMath1098.65097OpenAlexW2133385838MaRDI QIDQ5290648

Mi-Young Kim

Publication date: 3 May 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202506001108

zbMATH Keywords

stabilityconvergencediscontinuous Galerkin methodLotka-McKendrick equationage-dependent population dynamicslinear hyperbolic initial boundary value problem

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

Age-time continuous Galerkin methods for a model of population dynamics ⋮ A Side-by-Side Single Sex Age-Structured Human Population Dynamic Model: Exact Solution and Model Validation ⋮ High-order discontinuous Galerkin methods for a class of transport equations with structured populations ⋮ Long-time stability of numerical solutions to Gurtin-MacCamy equations by method of character\-ist\-ics ⋮ Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates

Cites Work

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• Mixed approximation of a population diffusion equation
• Time discretization of parabolic problems by the discontinuous Galerkin method
• A finite element method for a two-sex model of population dynamics
• A Variable Time Step Method for an Age-Dependent Population Model with Nonlinear Diffusion
• A Collocation Method for the Gurtin--MacCamy Equation with Finite Life-Span
• Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
• A DISCONTINUOUS GALERKIN METHOD FOR A MODEL OF POPULATION DYNAMICS
• On the approximation of the Lotka-McKendrick equation with finite life-span

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