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Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators
István FaragóJános Karátson
其他書名
Theory and Applications
出版Nova Publishers, 2002
主題Mathematics / AppliedMathematics / CalculusMathematics / Differential Equations / General
ISBN15903337649781590333761
URLhttp://books.google.com.hk/books?id=Gi26FA6ErWcC&hl=&source=gbs_api
EBookSAMPLE
註釋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.