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.