Why starting from differential equations for computational physics?

DOI10.1016/j.jcp.2013.08.016zbMath1351.35002OpenAlexW2086776761MaRDI QIDQ727633

Enzo Tonti

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.08.016

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

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Cites Work

• Higher-order mimetic methods for unstructured meshes
• An analysis of finite volume, finite element, and finite difference methods using some concepts from algebraic topology
• The mathematical structure of classical and relativistic physics. A general classification diagram
• Discrete Calculus
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Algebraic Formulation of Elastodynamics: the Cell Method
• Discrete differential forms in general relativity
• Geometric multigrid with applications to computational fluid dynamics
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