Lloyd N. Trefethen
- Is Gauss Quadrature Better than Clenshaw–Curtis?
2008/01/01 by Lloyd N. Trefethen · 34 citations
Mathematics · #Mathematical functions and polynomials #Mathematical Approximation and Integration #Iterative Methods for Nonlinear Equations
- Fourth-Order Time-Stepping for Stiff PDEs
2005/01/01 by Aly-Khan Kassam, Lloyd N. Trefethen · 24 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #Numerical methods for differential equations
- An algorithm for real and complex rational minimax approximation
2019/08/16 by Yuji Nakatsukasa, Nakatsukasa, Yuji, Lloyd N. Trefethen +1 · 9 citations
Computer Science · Decision Sciences · #41A20 #65D15 #Digital Filter Design and Implementation #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical Methods and Algorithms #Probabilistic and Robust Engineering Design
- AAA rational approximation on a continuum
2023/05/05 by Toby Driscoll, Yuji Nakatsukasa, Driscoll, Toby +3 · 10 citations
Computer Science · Physics and Astronomy · #41A20 #65D15 #Digital Filter Design and Implementation #FOS: Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- Lightning Stokes solver
2021/07/04 by Pablo D. Brubeck, Brubeck, Pablo D., Lloyd N. Trefethen +1 · 6 citations
Engineering · Physics and Astronomy · #41A20 #65N35 #76D07 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Numerical Analysis (math.NA)
- AAA-least squares rational approximation and solution of Laplace problems
2021/07/04 by Stefano Costa, Costa, Stefano, Lloyd N. Trefethen +1 · 6 citations
Engineering · Physics and Astronomy · #30E10 #41A20 #44A15 #65N35 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- Exponential node clustering at singularities for rational approximation,\n quadrature, and PDEs
2020/07/23 by Lloyd N. Trefethen, Yuji Nakatsukasa, Trefethen, Lloyd N. +3 · 6 citations
Mathematics · #41A20 #65D32 #65N35 #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Statistical and numerical algorithms
- Chopping a Chebyshev Series
2015/12/06 by Jared L. Aurentz, Aurentz, Jared L., Lloyd N. Trefethen +1 · 3 citations
Computer Science · #Digital Filter Design and Implementation #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical Methods and Algorithms #Polynomial and algebraic computation
- Rational approximation of xn
2018/01/03 by Yuji Nakatsukasa, Lloyd N. Trefethen, Nakatsukasa, Yuji +1 · 3 citations
Mathematics · #41A20 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical functions and polynomials #Numerical Analysis (math.NA)
- AAA interpolation of equispaced data
2022/07/24 by Daan Huybrechs, Huybrechs, Daan, Lloyd N. Trefethen +1 · 4 citations
Computer Science · Engineering · Physics and Astronomy · #41A20 #65D05 #65D15 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
- Representation of conformal maps by rational functions
2018/04/22 by Abinand Gopal, Gopal, Abinand, Lloyd N. Trefethen +1 · 1 voice · 2 citations
Mathematics · Physics and Astronomy · #30C30 #41A20 #65E05 #FOS: Mathematics #Numerical Analysis (math.NA)
- Reciprocal-log approximation and planar PDE solvers
2020/10/05 by Yuji Nakatsukasa, Lloyd N. Trefethen, Nakatsukasa, Yuji +1 · 2 citations
Computer Science · Engineering · Mathematics · #41A30 #65E05 #65N35 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Computation of Zolotarev rational functions
2024/08/26 by Lloyd N. Trefethen, Heather D. Wilber, Trefethen, Lloyd N. +1 · 5 citations
Computer Science · Mathematics · #30E10 #41A20 #65D15 #Digital Filter Design and Implementation #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
- Spectacularly large expansion coefficients in Müntz's theorem
2022/08/08 by Lloyd N. Trefethen, Trefethen, Lloyd N. · 2 citations
Economics, Econometrics and Finance · Mathematics · #41A10 #42C30 #Analytic Number Theory Research #FOS: Mathematics #Mathematical and Theoretical Analysis #Numerical Analysis (math.NA) #Stochastic processes and financial applications
- Talbot quadratures and rational approximations
2006/08/16 by L. N. Trefethen, Lloyd N. Trefethen, J. A. C. Weideman +1 · 1 citation
Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Fractional Differential Equations Solutions #Mathematical functions and polynomials
- Threshold amplitudes for transition to turbulence in a pipe
2000/07/28 by Lloyd N. Trefethen, S. J. Chapman, Trefethen, Lloyd N. +13 · 1 citation
Engineering · Environmental Science · Physics and Astronomy · #Combustion and flame dynamics #Fluid Dynamics and Turbulent Flows #Plant Water Relations and Carbon Dynamics #physics.comp-ph #physics.flu-dyn
- Rectangular eigenvalue problems
2021/12/27 by Behnam Hashemi, Hashemi, Behnam, Yuji Nakatsukasa +3 · 1 citation
Computer Science · Mathematics · #47A75 #65F15 #65N35 #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations