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- John P. Boyd

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
56
Citations
18,728
268
World Ranking
515
National Ranking
272

2020 - SIAM Fellow For contributions to geophysical fluid dynamics, Chebyshev polynomial and Fourier spectral methods, and nonlinear waves.

- Mathematical analysis
- Quantum mechanics
- Algebra

John P. Boyd focuses on Mathematical analysis, Spectral method, Chebyshev polynomials, Series and Chebyshev filter. His Mathematical analysis research focuses on Partial differential equation, Fourier transform, Chebyshev equation, Fourier series and Chebyshev pseudospectral method. John P. Boyd studied Spectral method and Pseudo-spectral method that intersect with Unit square, Grid and Eigenvalues and eigenvectors.

His Chebyshev polynomials research includes themes of Legendre polynomials, Bandlimiting, Entire function, Algebraic number and Classical orthogonal polynomials. His research in Series focuses on subjects like Hermite polynomials, which are connected to Function series. His Chebyshev filter research integrates issues from Spectral density estimation, Geometry and Spectral envelope.

- Chebyshev and Fourier spectral methods (3182 citations)
- Orthogonal rational functions on a semi-infinite interval (198 citations)
- Spectral methods using rational basis functions on an infinite interval (190 citations)

His main research concerns Mathematical analysis, Chebyshev polynomials, Spectral method, Series and Classical mechanics. His Mathematical analysis study incorporates themes from Function and Eigenvalues and eigenvectors. His research investigates the connection with Chebyshev polynomials and areas like Power series which intersect with concerns in Asymptotic expansion.

His Spectral method research incorporates elements of Pseudo-spectral method, Chebyshev filter, Polynomial and Differential equation. His study in Series is interdisciplinary in nature, drawing from both Complex plane and Pure mathematics. The Classical mechanics study combines topics in areas such as Kelvin wave, Quantum electrodynamics, Amplitude, Rossby wave and Longitudinal wave.

- Mathematical analysis (59.79%)
- Chebyshev polynomials (17.87%)
- Spectral method (14.09%)

- Mathematical analysis (59.79%)
- Chebyshev polynomials (17.87%)
- Spectral method (14.09%)

John P. Boyd spends much of his time researching Mathematical analysis, Chebyshev polynomials, Spectral method, Function and Series. His Mathematical analysis study frequently draws connections to other fields, such as Eigenvalues and eigenvectors. His work carried out in the field of Chebyshev polynomials brings together such families of science as Polynomial, Tensor product, Algebraic curve, Chebyshev equation and Numerical analysis.

His Spectral method research is multidisciplinary, incorporating elements of Diagonal matrix, Fourier transform and Symbolic computation. He focuses mostly in the field of Function, narrowing it down to topics relating to Rate of convergence and, in certain cases, Singularity and Asymptotic expansion. His Series research is multidisciplinary, relying on both Poisson summation formula, Limit cycle, Van der Pol oscillator, Trigonometric interpolation and Domain.

- Solving Transcendental Equations: The Chebyshev Polynomial Proxy and Other Numerical Rootfinders, Perturbation Series, and Oracles (31 citations)
- Finding the zeros of a univariate equation: Proxy rootfinders, chebyshev interpolation, and the companion matrix (26 citations)
- Rational Chebyshev series for the Thomas-Fermi function: Endpoint singularities and spectral methods (26 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary areas of study are Mathematical analysis, Chebyshev polynomials, Padé approximant, Spectral method and Chebyshev equation. His research in Mathematical analysis intersects with topics in Function, Rate of convergence and Gaussian. His studies in Chebyshev polynomials integrate themes in fields like Numerical analysis, Gegenbauer polynomials and Jacobi polynomials, Orthogonal polynomials, Discrete orthogonal polynomials.

John P. Boyd has included themes like Numerical integration, Fermi Gamma-ray Space Telescope and Magnetic field in his Padé approximant study. His Spectral method study often links to related topics such as Truncation. His Chebyshev equation research incorporates themes from Chebyshev iteration, Polynomial and Matrix, Diagonal matrix.

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.

Chebyshev and Fourier Spectral Methods

John P Boyd.

**(2001)**

6226 Citations

Chebyshev and Fourier Spectral Methods

John P Boyd.

**(2001)**

6226 Citations

Chebyshev & Fourier Spectral Methods

John Philip Boyd.

**(1989)**

4197 Citations

Chebyshev & Fourier Spectral Methods

John Philip Boyd.

**(1989)**

4197 Citations

The Noninteraction of Waves with the Zonally Averaged Flow on a Spherical Earth and the Interrelationships on Eddy Fluxes of Energy, Heat and Momentum

John P. Boyd.

Journal of the Atmospheric Sciences **(1976)**

305 Citations

The Noninteraction of Waves with the Zonally Averaged Flow on a Spherical Earth and the Interrelationships on Eddy Fluxes of Energy, Heat and Momentum

John P. Boyd.

Journal of the Atmospheric Sciences **(1976)**

305 Citations

Spectral methods using rational basis functions on an infinite interval

John P. Boyd.

Journal of Computational Physics **(1987)**

296 Citations

Spectral methods using rational basis functions on an infinite interval

John P. Boyd.

Journal of Computational Physics **(1987)**

296 Citations

Orthogonal rational functions on a semi-infinite interval

John P. Boyd.

Journal of Computational Physics **(1987)**

281 Citations

Orthogonal rational functions on a semi-infinite interval

John P. Boyd.

Journal of Computational Physics **(1987)**

281 Citations

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National Center for Atmospheric Research

University of California, Irvine

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Geophysical Fluid Dynamics Laboratory

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