3. Algorithms for multiphysics models in scientific computing
Numerical analysis in applied mathematics and computational chemistry
have laid the foundations of much of the algorithms for numerical
solving the governing equations in multiphysics modeling. A sketch of
the historical developments in the field of numerical analysis that has
laid the foundations for much of scientific computing is provided in
Table 2. Summaries of algorithms (methods) for multiphysics modeling at
different resolutions (length or timescales) are provided in this
section (see also Figure 1). Note that several reviews in the literature
summarize these methods to varying degrees of detail, see, for example,
[18] and references therein.