Symbolic semi-discretization of partial differential equation systems.

DOI10.1016/S0378-4754(96)00038-9zbMath1037.65507OpenAlexW2076823026WikidataQ59030463 ScholiaQ59030463MaRDI QIDQ1565848

Wolfgang Marquardt, Bernd-Markus Pfeiffer

Publication date: 27 May 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(96)00038-9

zbMATH Keywords

computer algebracode generationnumerical method of linesPDE (partial differential equation)symbolic discretization

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (5)

Analysis and Control of Deterministic and Stochastic Dynamical Systems with Time Delay ⋮ A new matrix approach for solving second-order linear matrix partial differential equations ⋮ Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order ⋮ Symbolic preprocessing for simulation of PDE models of chemical processes ⋮ Lowpass filter-based continuous-time approximation of delayed dynamical systems

Uses Software

• MACSYMA

Cites Work

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• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• A Prolog-based expert system for modeling with partial differential equations
• Application of Oscillation Matrices to Diffusion‐Convection Equations

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