What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Eigenvalues and eigenvectors
Lloyd N. Trefethen mainly focuses on Mathematical analysis, Eigenvalues and eigenvectors, Pseudospectrum, Applied mathematics and Numerical analysis.
Lloyd N. Trefethen carries out multidisciplinary research, doing studies in Mathematical analysis and Hankel contour.
His work carried out in the field of Eigenvalues and eigenvectors brings together such families of science as Pure mathematics, Resolvent, Combinatorics, Matrix and Spectral method.
The concepts of his Pseudospectrum study are interwoven with issues in Spectral line, Differential operator and Operator.
Lloyd N. Trefethen interconnects Singular value and Born–Huang approximation in the investigation of issues within Applied mathematics.
His work on Numerical range as part of general Algebra study is frequently linked to Differential graded algebra, Cellular algebra, Symmetric algebra and Filtered algebra, therefore connecting diverse disciplines of science.
His most cited work include:
- Numerical Linear Algebra (2860 citations)
- Spectral Methods in MATLAB (2360 citations)
- Hydrodynamic Stability Without Eigenvalues (1395 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Applied mathematics, Eigenvalues and eigenvectors, Numerical analysis and Rational function are his primary areas of study.
His study in Boundary value problem, Complex plane, Partial differential equation, Conformal map and Resolvent falls within the category of Mathematical analysis.
His study connects Laplace transform and Applied mathematics.
His research investigates the connection between Eigenvalues and eigenvectors and topics such as Combinatorics that intersect with problems in Discrete mathematics.
His Numerical analysis research incorporates themes from Algorithm, Singular value decomposition and Computation.
His Rational function study also includes
- Unit disk most often made with reference to Approximation theory,
- Function which connect with Pure mathematics.
He most often published in these fields:
- Mathematical analysis (35.83%)
- Applied mathematics (22.05%)
- Eigenvalues and eigenvectors (17.72%)
What were the highlights of his more recent work (between 2011-2021)?
- Applied mathematics (22.05%)
- Rational function (13.78%)
- Mathematical analysis (35.83%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Applied mathematics, Rational function, Mathematical analysis, Numerical analysis and Laplace transform.
In general Applied mathematics, his work in Minimax approximation algorithm is often linked to Remez algorithm linking many areas of study.
His studies deal with areas such as Conformal map, Gravitational singularity, Type, Barycentric coordinate system and Approximation theory as well as Rational function.
His study in Shielding effect extends to Mathematical analysis with its themes.
His Numerical analysis research includes elements of Point, Algorithm, Singular value decomposition and Trigonometric polynomial.
The study incorporates disciplines such as Eigenvalues and eigenvectors and Degree in addition to Analytic function.
Between 2011 and 2021, his most popular works were:
- Approximation Theory and Approximation Practice (663 citations)
- The Exponentially Convergent Trapezoidal Rule (292 citations)
- An Extension of Chebfun to Two Dimensions (95 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Quantum mechanics
Lloyd N. Trefethen focuses on Mathematical analysis, Applied mathematics, Numerical analysis, Algorithm and Eigenvalues and eigenvectors.
Lloyd N. Trefethen combines topics linked to Nonlinear system with his work on Mathematical analysis.
His work in the fields of Applied mathematics, such as Spouge's approximation, overlaps with other areas such as Gaussian quadrature.
His Numerical analysis study is associated with Algebra.
His Algorithm study integrates concerns from other disciplines, such as Function, Matrix and Linear algebra.
His Eigenvalues and eigenvectors research is multidisciplinary, relying on both Analytic function, Complex number, Unit disk, Polynomial interpolation and Polynomial.
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