A wavelet-based adaptive scheme for the solution of nonlinear equations

M. Verani
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M. Verani: Dipartimento di Matematica “F. Casorati”

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 743-752 from Springer

Abstract: Summary An adaptive wavelet scheme for the solution of nonlinear problems is presented. First, the original problem is transformed into an equivalent infinite dimensions problem in ℓ2. Then a convergent Newton-type scheme is derived for the infinite dimensions problem Finally, the iterative scheme is numerically realized by an approximate (possibly adaptive) application of the involved infinite dimensional operators, within some strategy of dynamically updated accuracy tolerances.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_67

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DOI: 10.1007/978-88-470-2089-4_67

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