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Titlebook: Walter Gautschi, Volume 3; Selected Works with Claude Brezinski,Ahmed Sameh Book 2014 Springer Science+Business Media New York 2014 Walter

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樓主: APL
21#
發(fā)表于 2025-3-25 06:10:44 | 只看該作者
22#
發(fā)表于 2025-3-25 10:34:24 | 只看該作者
23#
發(fā)表于 2025-3-25 11:43:49 | 只看該作者
History and biography invited talks should be dedicated to Euler and Euler’s work. Fortunately, Walter Gautschi accepted this invitation and presented a fascinating talk on Euler’s life, his personality, an overview of his work and some selected topics in more detail. This took place in the largest lecture hall (the “Tu
24#
發(fā)表于 2025-3-25 18:41:49 | 只看該作者
Linear recurrence relationsose the recurrence relation is of the form . It seems so deceivingly natural to start with values or expressions for .. and .., and then compute .., . successively from (21.1). However, this does not always work. Still, in every new generation of mathematicians or users of mathematics, along come so
25#
發(fā)表于 2025-3-25 21:05:41 | 只看該作者
Ordinary differential equationst contributions to science can be looked at in other, more perceptive, ways. I believe this is especially true of [GA.]. This paper is forward-looking to the extent that its importance has become recognised more and more as time has passed. In my opinion the impact of this contribution has been trem
26#
發(fā)表于 2025-3-26 03:02:56 | 只看該作者
27#
發(fā)表于 2025-3-26 04:34:09 | 只看該作者
28#
發(fā)表于 2025-3-26 08:43:07 | 只看該作者
0884-7037 s on Euler and Christoffel, as well as biographical essays o.Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowne
29#
發(fā)表于 2025-3-26 13:56:54 | 只看該作者
Linear recurrence relations, is to start with Walter Gautschi’s . paper [GA.] on three-term recurrence relations from 1967. This is what most people do, and this is what I did when I started my study of continued fractions. Continued fractions and recurrence relations indeed share a substantial intersection which, however, calls for some degree of alertness.
30#
發(fā)表于 2025-3-26 19:52:26 | 只看該作者
Ordinary differential equationsd to modern approaches to the solution of highly-oscillatory problems. The ideas and results in the original paper have been rediscovered independently by later authors, but the depth and scholarship in Gautschi’s exposition are unmatched. Here are the key definitions near the start of the paper.
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