Stability and Convergence for Discretization Methods with Applications to Wavelet Galerkin Schemes
نویسندگان
چکیده
We give a simple approach for a well-known, but rather complicated theory for general discretization methods, Petryshyn [34] and Zeidler [40]. We employ only some basic concepts such as invertibility, compact perturbation and approximation. It allows to treat a wide class of space discretization methods and operator equations. As demonstration examples we use wavelet Galerkin methods applied to saddle point problems, Navier–Stokes equations and to numerical bifurcation. This extends some recent results for wavelet methods, e.g., to numerical bifurcation. AMS Subject Classification: 65P30; 65N55
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