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D-Index & Metrics

Mathematics

D-Index
45
Citations
12388
World Ranking
1429
National Ranking
635

Walter Gautschi publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Walter Gautschi sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 410 publications — 94th percentile

94% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Walter Gautschi D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Walter Gautschi sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

Gradimir V. Milovanović
Gradimir V. Milovanović Serbian Academy of Sciences and Arts
Richard S. Varga
Richard S. Varga Kent State University
Gene H. Golub
Gene H. Golub Stanford University
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
Paul L. Stoffa
Paul L. Stoffa The University of Texas at Austin

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