Characteristic line based schemes for solving a quasilinear hierarchical size-structured model

DOI10.1007/s10915-010-9413-yzbMath1270.92038OpenAlexW2047135259MaRDI QIDQ361555

Keng Deng, Tchavdar T. Marinov

Publication date: 29 August 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9413-y

zbMATH Keywords

difference schemesquadraturescharacteristic linessize-structured population dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Computational methods for problems pertaining to biology (92-08)

Related Items (5)

A second-order high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infection ⋮ High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model ⋮ A second-order characteristic line scheme for solving a juvenile–adult model of amphibians ⋮ A Second-Order High-Resolution Scheme for a Juvenile-Adult Model of Amphibians ⋮ Analysis of a Characteristics Scheme for a Quasilinear Hierarchical Size-Structured Model

Cites Work

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• Numerical integration of fully nonlinear size-structured population models
• A high order WENO scheme for a hierarchical size-structured population model
• EXISTENCE AND UNIQUENESS FOR HEIGHT STRUCTURED HIERARCHICAL POPULATION MODELS
• A Fully Discretized Approximation Scheme for Size-Structured Population Models
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• An explicit third-order numerical method for size-structured population equations
• High Resolution Schemes for a Hierarchical Size‐Structured Model

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