Finite Difference Methods for Partial Differential Equations
By Paolo Brandimarte. 2006
401 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/35844c1ea4d087a7a5272978107885fa3b9e6b16
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Citations in the corpus
- Mathematical analysis of microwave heating process (2005, background): “b Regression of experimental data reported by Gunasekaran (2002). c Fraile and Burg (1997).”
- Convolutional Neural Networks for Steady Flow Approximation (2016, methodology): “In traditional CFD methods, Navier-Stokes equations solve mass, momentum and energy conservation equations on discrete nodes (the finite difference method, FDM) [11], elements (the finite element method, FEM) [29], or volumes (the finite volume method, FVM) [24].”
- The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion (2007, methodology): “We also recommend general mathematical textbooks and monographs on the finite-difference method – Forsythe and Wasow (1960), Isaacson and Keller (1966), Richtmyer and Morton (1967), Mitchell (1969), Marchuk (1982), Anderson et al. (1984), Mitchell and Griffiths (1994), Morton and Mayers (1994),…”
- ON THE ACCURACY OF FINITE DIFFERENCE METHODS FOR ELLIPTIC PROBLEMS WITH INTERFACES (2006, unknown): “Communications in Applied Mathematics and Computational Science mathematical sciences publishers 1 Volume 1 No. 1 2006”
- A gradient smoothing method (GSM) with directional correction for solid mechanics problems (2007, methodology): “The finite difference method (FDM) is one of classical numerical tools for a broad class of initial-value and boundary-value problems [1–5].”