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.
A wavelet based adaptive scheme for the solution of nonlinear equations
VERANI, MARCO;
2003-01-01
Abstract
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.File in questo prodotto:
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