World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
12388
World Ranking
1429
National Ranking
634

Research.com Recognitions

  • 2012 - SIAM Fellow For fundamental contributions to the constructive theory of orthogonal polynomials with applications to approximation theory.

Overview

Walter Gautschi is affiliated with Purdue University West Lafayette in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with particular focus within the subfields of Applied Mathematics, Statistics and Probability, Statistical and Nonlinear Physics, Algebra and Number Theory, and Atomic and Molecular Physics, and Optics.

The main topics covered in Gautschi's work include mathematical functions and polynomials, quantum mechanics and non-Hermitian physics, quantum chaos and dynamical systems, nonlinear waves and solitons, advanced mathematical identities, analytic number theory research, and geophysics and gravity measurements.

They have published extensively in various venues, notably with multiple papers appearing in the journal Numerical Algorithms. Other frequent publication venues include Mathematics of Computation and the Polymer Journal.

  • Orthogonal polynomials relative to weight functions of Prudnikov type, 2021, Numerical Algorithms
  • A Ramanujan integral and its derivatives: computation and analysis, 2023, Mathematics of Computation
  • Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure, 2021, Numerical Algorithms
  • Another look at polynomials orthogonal relative to exponential integral weight functions, 2022, Numerical Algorithms
  • Gauss quadrature and Christoffel function for the Abel-Dahlquist weight function, 2020, Polymer Journal

Gautschi has collaborated frequently with Gradimir V. Milovanović, co-authoring several works together.

In addition to journal publications, they have contributed to scholarly book literature, including a publication with the Society for Industrial and Applied Mathematics. The book titled A Software Repository for Gaussian Quadratures and Christoffel Functions was published in 2020.

Their research interests and contributions reflect a concentration on constructing and analyzing orthogonal polynomials and quadrature methods, often with applications to approximation theory and mathematical computation.

Walter Gautschi was recognized as a SIAM Fellow in 2012 for fundamental contributions to the constructive theory of orthogonal polynomials with applications to approximation theory.

Best Publications

  • Orthogonal polynomials : computation and approximation

    Walter Gautschi

  • Computational Aspects of Three-Term Recurrence Relations

    Walter Gautschi

  • Numerical analysis: an introduction

    Walter Gautschi

  • Adaptive Quadrature—Revisited

    Walter Gander;Walter Gautschi

  • Numerical integration of ordinary differential equations based on trigonometric polynomials

    Walter Gautschi

  • On Generating Orthogonal Polynomials

    Walter Gautschi

  • Remark on algorithm 726: ORTHPOL—A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules

    Walter Gautschi

  • Efficient computation of the complex error function

    Walter Gautschi

  • Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function

    Walter Gautschi

  • A Survey of Gauss-Christoffel Quadrature Formulae

    Walter Gautschi

  • Construction of Gauss-Christoffel quadrature formulas

    Walter Gautschi

  • An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form

    Bernhard N Flury;Walter Gautschi

  • Orthogonal polynomials: applications and computation

    Walter Gautschi

  • Lower bounds for the condition number of Vandermonde matrices

    Walter Gautschi;Gabriele Inglese

  • On the construction of Gaussian quadrature rules from modified moments.

    Walter Gautschi

  • On inverses of Vandermonde and confluent Vandermonde matrices III

    Walter Gautschi

  • Error Bounds for Gaussian Quadrature of Analytic Functions

    Walter Gautschi;Richard S. Varga

  • Norm estimates for inverses of Vandermonde matrices

    Walter Gautschi

  • Orthogonal polynomials-Constructive theory and applications *

    Walter Gautschi

  • Algorithm 363: complex error function [S15]

    Walter Gautschi

Frequent Co-Authors

Richard S. Varga
Richard S. Varga Kent State University
Gene H. Golub
Gene H. Golub Stanford University
Paul L. Stoffa
Paul L. Stoffa The University of Texas at Austin
Claude Brezinski
Claude Brezinski University of Lille
James H. Bramble
James H. Bramble Texas A&M University
Ahmed Sameh
Ahmed Sameh Purdue University West Lafayette
William Layton
William Layton University of Pittsburgh
Mrinal K. Sen
Mrinal K. Sen The University of Texas at Austin
Arieh Iserles
Arieh Iserles University of Cambridge

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can enhance career prospects and offer interdisciplinary opportunities. Many graduates consider expanding their skillsets through programs like marketing graduate programs, which combine analytical skills with business acumen to open doors in fields like market research and consumer analytics.

Additionally, one-year MBA programs are increasingly popular among math graduates seeking leadership roles. These year long mba programs provide a fast track to management positions without requiring a multi-year commitment, making them ideal for those eager to shift from technical roles to executive careers.

Another important consideration is academic flexibility. Many online business schools allow students to transfer credits, reducing time and cost. Prospective students should explore options like can you transfer mba credits to optimize their educational journey.

For those focused on data-driven careers, a master in data analytics is an excellent complement to a mathematics background. This degree equips graduates with advanced skills in data interpretation, making them highly competitive in sectors such as finance, technology, and healthcare.

Best Scientists Citing Walter Gautschi

Trending Scientists

Recently Published Articles