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Wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have been used successfully in other areas, however. Elliptic Partial Differential Equations which model several processes in, for example, science and engineering, is one such field.
This book, based on the author's course, gives an introduction to wavelet methods in general and then describes their application for the numerical solution of elliptic partial differential equations. Recently developed adaptive methods are also covered and each scheme is complemented with numerical results,...

This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The...

W. B. Harrison, B. A. C. Dijkmans During the last decade intervention has been instituted for all kinds of disease- even in a premorbid state, as early as possible, to control the activity of the disease, to avoid further damage and to maintain quality of life. Apart from the principle 'Treat now, not later," emphasis is laid on aggressive initial therapy. These adagia have influenced in recent times all fields of medicine, from oncology to infectious diseases and also - the topic of the present edition - the "autoimmune diseases." As an example of the latter, rheumatoid arthritis (RA)...