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Prössdorf S., Silbermann B. Numerical analysis for integral and related operator equations

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Prössdorf S., Silbermann B. Numerical analysis for integral and related operator equations
Akademie Verlag, 1991. — 539 p.
The book is addressed to a wide audience of readers. We hope that both the mathematician interested in theoretical aspects of numerical analysis and the engineer wishing to see practically realizable recipes for computations will find a few suggestions. We tried to present the material in a form which allows any reader to go to the chapters or parts of the book he is interested in as quickly as possible. The interdependence table provides an overall view of the connection between the parts of this monograph. Here now are some remarks concerning the contents of our book and methodological
questions. First and foremost, Banach algebra techniques will play a dominant role in a series of chapters in this book. Some readers might consider the use of such tools for studying the stability of concrete approximation methods as out of the ordinary or even as an exotic extravagance. However, we wish to encourage these readers to overcome this psychological barrier and to read and see for themselves the power of such techniques for the investigation of very concrete approximation methods. For example, it will be seen that the Banach algebra approach is just the right device for conquering the afore-mentioned complications emerging from differential equations in domains with corners or singular integral equations with discontinuous coefficients.
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