Numerical solution of the time-dependent transport equation with pulsed sources

DOI10.1080/00411459408203929zbMath0818.65144OpenAlexW2025247097MaRDI QIDQ4317631

A. M. Voloschenko, T. A. Germogenova

Publication date: 20 December 1994

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459408203929

zbMATH Keywords

numerical examplesconvergence accelerationtime-dependent transport equationpulsed sourcesweighted diamond difference scheme

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (3)

An iterative \(\mathrm{KP}_1\) method for solving the transport equation in 3D domains on unstructured grids ⋮ A \(KP_1\) scheme for acceleration of inner iterations for the transport equation in two-dimensional geometries consistent with nodal schemes ⋮ A \(KP_1\) scheme for acceleration of inner iterations for the transport equation in 3D geometry consistent with nodal schemes: basic equations and numerical results

Cites Work

• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Unconditionally stable diffusion-acceleration of the transport equation
• Adaptive positive nodal method for transport equation

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