Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators: Theory and Applications (Advances in Computation : Theory and Practice, Volume 11) PDF
386 Pages·2002·2.611 MB·English
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Preview Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators: Theory and Applications (Advances in Computation : Theory and Practice, Volume 11)
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Contents: MOTIVATION -- Non-linear elliptic equations in model problems; Linear algebraic systems; Linear elliptic problems; Non-linear algebraic systems and preconditioning. THEORETICAL BACKGROUND -- Non-linear equations in Hilbert space; Solvability of non-linear elliptic problems. ITERATIVE SOLUTION OF NON-LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS -- Iterative methods in Sobolev space; Preconditioning strategies for discretise non-linear elliptic problems based on preconditioning operators; Algorithmic realisation of iterative methods based on pre-conditioning operators; Some numerical algorithms for non-linear elliptic problems in physics; Appendix; Index.
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