Abstract
The computer algebra system (CAS) Mathematica has been applied for constructing the optimal iteration processes of the Gauss– Seidel type at the solution of PDE’s by the method of collocations and least residuals. The possibilities of the proposed approaches are shown by the examples of the solution of boundary-value problems for the 2D Navier–Stokes equations.
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Shapeev, V. P., & Vorozhtsov, E. V. (2016). Symbolic-numerical optimization and realization of the method of collocations and least residuals for solving the navier–stokes equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9890 LNCS, pp. 473–488). Springer Verlag. https://doi.org/10.1007/978-3-319-45641-6_30
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