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Numerical methods for nonlinear elliptic differential equations : a synopsis / [electronic resource]

by B�ohmer, K. (Klaus).
Material type: materialTypeLabelBookSeries: Numerical mathematics and scientific computation: Publisher: Oxford : Oxford University Press, 2010Description: 1 online resource (xxvii, 746 p.) : ill.ISBN: 9780191595172 (ebook) :.Subject(s): Differential equations, Elliptic -- Numerical solutions | Differential equations, Nonlinear -- Numerical solutionsOnline resources: Oxford scholarship online Summary: The author proves in a systematic and unifying way stability, convergence and computing results for the different numerical methods for nonlinear elliptic problems. The proofs use linearization, compact perturbation of the coercive principal parts, or monotone operator techniques, and approximation theory.
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