# Joseph D. Ward

## D-Index & Metrics

Discipline name D-index Citations Publications World Ranking National Ranking
Mathematics D-index 37 Citations 5,077 114 World Ranking 1297 National Ranking 570

## What is he best known for?

### The fields of study he is best known for:

• Mathematical analysis
• Algebra
• Hilbert space

His primary scientific interests are in Mathematical analysis, Sobolev space, Interpolation, Spherical harmonics and Radial basis function. His Mathematical analysis research incorporates elements of Positive-definite matrix and Pure mathematics. His biological study spans a wide range of topics, including Polynomial and Trigonometric interpolation, Linear interpolation, Polynomial interpolation.

His Sobolev space study combines topics in areas such as Function and Numerical analysis. In his study, which falls under the umbrella issue of Spherical harmonics, Numerical integration, Eigenfunction, Legendre polynomials and Harmonic function is strongly linked to Unit sphere. His Radial basis function study combines topics from a wide range of disciplines, such as Ergodic theory, Excitation and Control theory.

### His most cited work include:

• Localized Tight Frames on Spheres (277 citations)
• Persistency of Excitation in Identification Using Radial Basis Function Approximants (185 citations)
• Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature (180 citations)

## What are the main themes of his work throughout his whole career to date?

His main research concerns Mathematical analysis, Pure mathematics, Interpolation, Combinatorics and Sobolev space. His Mathematical analysis study integrates concerns from other disciplines, such as Function and Radial basis function. His Radial basis function research incorporates themes from Surface and Applied mathematics.

His Pure mathematics study incorporates themes from Discrete mathematics, Norm, Bounded function and Inverse. The various areas that Joseph D. Ward examines in his Interpolation study include Positive-definite matrix, Basis, Invertible matrix and Gaussian. His work in Sobolev space tackles topics such as Riemannian manifold which are related to areas like Constant.

### He most often published in these fields:

• Mathematical analysis (45.52%)
• Pure mathematics (32.41%)
• Interpolation (17.93%)

## What were the highlights of his more recent work (between 2010-2021)?

• Pure mathematics (32.41%)
• Applied mathematics (13.10%)
• Mathematical analysis (45.52%)

### In recent papers he was focusing on the following fields of study:

His primary areas of study are Pure mathematics, Applied mathematics, Mathematical analysis, Discretization and Galerkin method. His study on Pure mathematics also encompasses disciplines like

• Interpolation most often made with reference to Bounded function,
• Inverse which is related to area like Radial basis function. His Applied mathematics research includes themes of Extrapolation, Quantum mechanics, Kinetic energy, Function and Numerical analysis.

Joseph D. Ward frequently studies issues relating to Standard basis and Mathematical analysis. The concepts of his Manifold study are interwoven with issues in Positive-definite matrix, Numerical integration and Rotation group SO. His Sobolev space research integrates issues from Discrete mathematics, Norm and Linear combination.

### Between 2010 and 2021, his most popular works were:

• Localized Bases for Kernel Spaces on the Unit Sphere (31 citations)
• Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation (26 citations)
• Kernel Approximation on Manifolds II: The $L_{\infty}$-norm of the $L_2$-projector (24 citations)

## In his most recent research, the most cited papers focused on:

• Mathematical analysis
• Algebra
• Geometry

His primary scientific interests are in Pure mathematics, Manifold, Sobolev space, Mathematical analysis and Bounded function. His Pure mathematics research is multidisciplinary, incorporating perspectives in Space and Interpolation. His studies in Interpolation integrate themes in fields like Discrete mathematics, Basis, Fourier transform, Multiplier and Gaussian.

His work is dedicated to discovering how Sobolev space, Norm are connected with Corollary, Least squares, Projector, De Boor's algorithm and Spline and other disciplines. He usually deals with Mathematical analysis and limits it to topics linked to Positive-definite matrix and Numerical integration and Rotation group SO. The various areas that Joseph D. Ward examines in his Bounded function study include Surface, Differential geometry, Lipschitz continuity and Lebesgue integration.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

## Best Publications

Localized Tight Frames on Spheres

Francis J. Narcowich;Pencho Petrushev;Joseph D. Ward.
Siam Journal on Mathematical Analysis (2006)

317 Citations

Persistency of Excitation in Identification Using Radial Basis Function Approximants

A. J. Kurdila;Francis J. Narcowich;Joseph D. Ward.
Siam Journal on Control and Optimization (1995)

230 Citations

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

H. N. Mhaskar;F. J. Narcowich;J. D. Ward.
Mathematics of Computation (2001)

216 Citations

Error estimates for scattered data interpolation on spheres

Kurt Jetter;Joachim Stöckler;Joseph D. Ward.
Mathematics of Computation (1999)

184 Citations

Generalized Hermite interpolation via matrix-valued conditionally positive definite functions

Francis J. Narcowich;Joseph D. Ward.
Mathematics of Computation (1994)

179 Citations

Decomposition of Besov and Triebel–Lizorkin spaces on the sphere

F. Narcowich;P. Petrushev;J. Ward.
Journal of Functional Analysis (2006)

166 Citations

Nonstationary Wavelets on them-Sphere for Scattered Data

Francis J. Narcowich;Joseph D. Ward.
Applied and Computational Harmonic Analysis (1996)

165 Citations

Norms of inverses and condition numbers for matrices associated with scattered data

Francis J. Narcowich;Joseph D. Ward.
Journal of Approximation Theory (1991)

164 Citations

Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

Francis J. Narcowich;Joseph D. Ward;Holger Wendland.
Mathematics of Computation (2004)

163 Citations

Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions

Francis J. Narcowich;Joseph D. Ward.
Siam Journal on Mathematical Analysis (2002)

142 Citations

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