Many of the fundamental physical laws that are essential for a description of fluid or solid systems in materials science are formulated most conveniently in terms of differential equations. Deriving and solving differential equations are thus common tasks when modeling material systems. Hence, this chapter first provides an overview of differential equations and then several numerical solution techniques — frequently used in materials science — are discussed.
CITATION STYLE
Fundamentals of Numerical Simulation. (2007). In Computational Multiscale Modeling of Fluids and Solids (pp. 179–217). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-75117-5_4
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