W
Walter Gautschi
Researcher at Purdue University
Publications - 209
Citations - 9207
Walter Gautschi is an academic researcher from Purdue University. The author has contributed to research in topics: Orthogonal polynomials & Gauss–Kronrod quadrature formula. The author has an hindex of 38, co-authored 208 publications receiving 8766 citations. Previous affiliations of Walter Gautschi include ETH Zurich & Oak Ridge National Laboratory.
Papers
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BookDOI
Orthogonal polynomials : computation and approximation
TL;DR: In this article, a three-term recurrence relation of orthogonal polynomials on the semicircle has been studied and a moment-preserving spline approximation algorithm has been proposed.
Book
Numerical analysis: an introduction
TL;DR: In this article, the authors present a text in numerical analysis which is taken to mean the branch of mathematics that develops and analyzes computational methods dealing with problems arising in classical analysis, approximations theory, the theory of equations, and ordinary differential equations.
Journal ArticleDOI
Numerical integration of ordinary differential equations based on trigonometric polynomials
TL;DR: In this article, the authors present a method for the step-by-step integration of periodic or oscillatory solutions where the frequency, or some suitable substitute, can be estimated in advance.
Journal ArticleDOI
Adaptive Quadrature—Revisited
Walter Gander,Walter Gautschi +1 more
TL;DR: The basic principles of adaptive quadrature are reviewed and attention is drawn to serious deficiencies in the adaptive routines quad and quad8 provided by Matlab.