What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Real number
Walter Gautschi focuses on Orthogonal polynomials, Algebra, Combinatorics, Classical orthogonal polynomials and Mathematical analysis.
He carries out multidisciplinary research, doing studies in Orthogonal polynomials and Gaussian quadrature.
His study looks at the intersection of Algebra and topics like Christoffel symbols with Gauss, Principal value and Symbolic convergence theory.
His Classical orthogonal polynomials research is multidisciplinary, incorporating perspectives in Jacobi polynomials and Discrete orthogonal polynomials.
His research investigates the link between Jacobi polynomials and topics such as Gegenbauer polynomials that cross with problems in Chebyshev polynomials.
In his research on the topic of Mathematical analysis, Point and Analytic function is strongly related with Applied mathematics.
His most cited work include:
- Orthogonal polynomials : computation and approximation (840 citations)
- Computational Aspects of Three-Term Recurrence Relations (501 citations)
- Numerical analysis: an introduction (416 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Data management plan, Weight function, Data mining, Numerical digit and Mathematical analysis.
He has included themes like Discrete mathematics, Laguerre polynomials, Logarithm and Type in his Weight function study.
His study in Orthogonal polynomials, Numerical analysis and Bessel function is carried out as part of his studies in Mathematical analysis.
His research in Orthogonal polynomials intersects with topics in Recurrence relation and Chebyshev polynomials.
His work carried out in the field of Algebra brings together such families of science as Jacobi polynomials and Classical orthogonal polynomials.
In the subject of general Gaussian quadrature, his work in Clenshaw–Curtis quadrature and Gauss–Jacobi quadrature is often linked to Christoffel symbols, thereby combining diverse domains of study.
He most often published in these fields:
- Data management plan (41.46%)
- Weight function (31.91%)
- Data mining (23.87%)
What were the highlights of his more recent work (between 2014-2021)?
- Data management plan (41.46%)
- Weight function (31.91%)
- Numerical digit (23.62%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Data management plan, Weight function, Numerical digit, Data mining and Applied mathematics.
His Weight function research includes elements of Discrete mathematics, Type, Exponential function and Combinatorics.
His study in Numerical digit is interdisciplinary in nature, drawing from both Range, Bose–Einstein condensate and Hermite polynomials.
His Data mining study combines topics from a wide range of disciplines, such as Computation and Cyberinfrastructure.
Walter Gautschi regularly ties together related areas like Orthogonal polynomials in his Algebra studies.
His Orthogonal polynomials research is included under the broader classification of Pure mathematics.
Between 2014 and 2021, his most popular works were:
- How (Un)stable Are Vandermonde Systems (16 citations)
- Orthogonal Polynomials in MATLAB: Exercises and Solutions (9 citations)
- OPQ: A Matlab suite of programs for generating orthogonal polynomials and related quadrature rules (7 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Real number
His scientific interests lie mostly in Data management plan, Christoffel symbols, Function, Gaussian quadrature and Applied mathematics.
His studies deal with areas such as Mathematical analysis and Domain as well as Function.
His Mathematical analysis study integrates concerns from other disciplines, such as Radiative transfer and Type.
His study on Gaussian quadrature is mostly dedicated to connecting different topics, such as Gauss–Kronrod quadrature formula.
His Applied mathematics study also includes
- B-spline together with Numerical digit and Order,
- Marchenko–Pastur distribution which is related to area like Asymptotic analysis, Chebyshev polynomials, Recurrence relation and Probability measure.
His Algebra research integrates issues from Orthogonal polynomials and Software repository.
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