What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (59.79%)
- Chebyshev polynomials (17.87%)
- Spectral method (14.09%)
What were the highlights of his more recent work (between 2012-2021)?
- Mathematical analysis (59.79%)
- Chebyshev polynomials (17.87%)
- Spectral method (14.09%)
In recent papers he was focusing on the following fields of study:
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.
Between 2012 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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