Abstract
We discuss in this paper the numerical solution of boundary value problems for partial differential equations by methods relying on compactly supported wavelet approximations. After defining compactly supported wavelets and stating their main properties we discuss their application to boundary value problems for partial differential equations, giving a particular attention to the treatment of the boundary conditions. Finally, we discuss application of wavelets to the solution of the Navier-Stokes equations for incompressible viscous fluids.
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© 1993 Springer-Verlag New York, Inc.
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Glowinski, R., Periaux, J., Ravachol, M., Pan, T.W., Wells, R.O., Zhou, X. (1993). Wavelet Methods in Computational Fluid Dynamics. In: Hussaini, M.Y., Kumar, A., Salas, M.D. (eds) Algorithmic Trends in Computational Fluid Dynamics. ICASE/NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2708-3_15
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DOI: https://doi.org/10.1007/978-1-4612-2708-3_15
Publisher Name: Springer, New York, NY
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