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- Lloyd N. Trefethen

Mathematics

UK

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
70
Citations
34,924
220
World Ranking
189
National Ranking
11

2022 - Research.com Mathematics in United Kingdom Leader Award

2019 - Member of Academia Europaea

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For contributions to numerical analysis and scientific computing.

2007 - Member of the National Academy of Engineering For contributions to stability theory in numerical analysis and its application to the determination of the onset of turbulence.

2005 - Fellow of the Royal Society, United Kingdom

1992 - Fellow of the American Association for the Advancement of Science (AAAS)

- 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.

- Numerical Linear Algebra (2860 citations)
- Spectral Methods in MATLAB (2360 citations)
- Hydrodynamic Stability Without Eigenvalues (1395 citations)

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.

- Mathematical analysis (35.83%)
- Applied mathematics (22.05%)
- Eigenvalues and eigenvectors (17.72%)

- Applied mathematics (22.05%)
- Rational function (13.78%)
- Mathematical analysis (35.83%)

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.

- Approximation Theory and Approximation Practice (663 citations)
- The Exponentially Convergent Trapezoidal Rule (292 citations)
- An Extension of Chebfun to Two Dimensions (95 citations)

- 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.

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.

Numerical Linear Algebra

Lloyd N. Trefethen;David Bau.

**(1997)**

5973 Citations

Numerical Linear Algebra

Lloyd N. Trefethen;David Bau.

**(1997)**

5973 Citations

Spectral Methods in MATLAB

Lloyd N. Trefethen.

**(2000)**

4870 Citations

Spectral Methods in MATLAB

Lloyd N. Trefethen.

**(2000)**

4870 Citations

Hydrodynamic Stability Without Eigenvalues

Lloyd N. Trefethen;Anne E. Trefethen;Satish C. Reddy;Tobin A. Driscoll.

Science **(1993)**

1980 Citations

Hydrodynamic Stability Without Eigenvalues

Lloyd N. Trefethen;Anne E. Trefethen;Satish C. Reddy;Tobin A. Driscoll.

Science **(1993)**

1980 Citations

Spectra and pseudospectra

Lloyd N. Trefethen.

**(2005)**

1891 Citations

Spectra and pseudospectra

Lloyd N. Trefethen.

**(2005)**

1891 Citations

Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators

Lloyd N. Trefethen;Mark Embree.

**(2005)**

1849 Citations

Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators

Lloyd N. Trefethen;Mark Embree.

**(2005)**

1849 Citations

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