Titlebook: An Introduction to Scientific Computing; Fifteen Computationa Ionut Danaila,Pascal Joly,Marie Postel Textbook 2023Latest edition The Editor

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https://doi.org/10.1007/978-3-662-31607-8r dealing with problems arising from data compression, and signal and image processing. We describe the main properties of three wavelets (Haar, Schauder and Daubechies) and present their application an example of image compression.

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Offene Fragen und weitere Forschungsansätze image processing, partial differential equations, etc. Approximation may mean either interpolation or best approximation. We present in this chapter the main features of these approaches. Numerical algorithms are also discussed.

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Offene Fragen und weitere Forschungsansätzeons containing several time scales. Parts of the solution vary slowly, while other parts vary rapidly. Classical numerical schemes require a small time step to compute accurately the solution since it is necessary to capture rapid time scales. In this chapter, we consider a 1D advection-diffusion eq

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https://doi.org/10.1007/978-3-663-04682-0nomial expansion of the solution. The precision of these methods is limited only by the regularity of the solution, in contrast to the finite difference and finite element methods. The approximation is based primarily on the weak formulation of the continuous problem. Test functions are polynomials

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