A physics‐informed order‐of‐magnitude approach to handling dynamic iterations applied to models of physical systems: Theoretical framework

DOI10.1002/MMA.9276OpenAlexW4365447463MaRDI QIDQ6185397

Barbara Zubik-Kowal

Publication date: 8 January 2024

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

Full work available at URL: https://doi.org/10.1002/mma.9276

zbMATH Keywords

physical parametersorders of magnitudedynamic iterationsphysics-informed model reduction

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30)

Cites Work

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• Parallel computations and numerical simulations for nonlinear systems of Volterra integro-differential equations
• On dynamic iteration for delay differential equations
• Chebyshev pseudospectral method and waveform relaxation for differential and differential-functional parabolic equations
• Error bounds for spatial discretization and waveform relaxation applied to parabolic functional differential equations
• A note on the convergence of discretized dynamic iteration
• An introduction to ordinary differential equations
• Integration of Stiff Equations

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