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We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2−nN ) in the H 1 norm, where n is the level of approximation and N is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. We...
We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2−nN ) in the H 1 norm, where n is the level of approximation and N is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. We...
Three dimensional BVPs with variable coefficients, need to evaluate a lot of complex integrals in Galerkin method solutions. We consider Coiflets, as basis functions to evaluate the complex integrals fast and effective, via three variate connection coefficients on the interval [0, 2n]. We show that these connection coefficients can be computed independent of n, by solving small linear systems. Moreover...
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