Download E-books Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators: Theory and Applications (Advances in Computation : Theory and Practice, Volume 11) PDF

By I. Farago, J. Karatson

Contents: MOTIVATION -- Non-linear elliptic equations in version difficulties; Linear algebraic structures; Linear elliptic difficulties; Non-linear algebraic structures and preconditioning. THEORETICAL heritage -- Non-linear equations in Hilbert area; Solvability of non-linear elliptic difficulties. ITERATIVE answer OF NON-LINEAR ELLIPTIC BOUNDARY worth difficulties -- Iterative tools in Sobolev area; Preconditioning innovations for discretise non-linear elliptic difficulties in line with preconditioning operators; Algorithmic realisation of iterative tools in line with pre-conditioning operators; a few numerical algorithms for non-linear elliptic difficulties in physics; Appendix; Index.

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