ReviewMolecules (Basel, Switzerland)2022
Merits and Demerits of ODE Modeling of Physicochemical Systems for Numerical Simulations.
Review in Molecules (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Merits and Demerits of Machine Learning of Ferroelectric, Flexoelectric, and Electrolytic Properties of Ceramic Materials.Materials (Basel, Switzerland) · 2024Review
- The Reducing Agents in Sonochemical Reactions without Any Additives.Molecules (Basel, Switzerland) · 2023Review
- Critical Roles of Impurities and Imperfections in Various Phases of Materials.Materials (Basel, Switzerland) · 2023Review
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1 author.
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Abstract
In comparison with the first-principles calculations mostly using partial differential equations (PDEs), numerical simulations with modeling by ordinary differential equations (ODEs) are sometimes superior in that they are computationally more economical and that important factors are more easily traced. However, a demerit of ODE modeling is the need of model validation through comparison with experimental data or results of the first-principles calculations. In the present review, examples of ODE modeling are reviewed such as sonochemical reactions inside a cavitation bubble, oriented attachment of nanocrystals, dynamic response of flexoelectric polarization, ultrasound-assisted sintering, and dynamics of a gas parcel in a thermoacoustic engine.
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