Talbot quadratures and rational approximations

By Lloyd N. Trefethen, J. Andre Weideman, Thomas Schmelzer. 2006

236 citations recorded by the source corpus.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/016a89a4715ff5eccb612870c91ab9a43bb504db

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Lloyd N. Trefethen
2. J. Andre Weideman
3. Yuji Nakatsukasa
4. Olivier Sète
5. Sheehan Olver
6. Szymon Jaroszewicz
7. Marcin Korzen
8. Anirvan Chakraborty

In Atomic and Molecular Physics, and Optics

1. Yuji Nakatsukasa
2. Olivier Sète
3. J. Andre Weideman
4. Lloyd N. Trefethen
5. B. McKeon
6. Szymon Jaroszewicz
7. Matthew Kelly
8. Marcin Korzen

In Modeling and Simulation

1. Lloyd N. Trefethen
2. Yuji Nakatsukasa
3. Olivier Sète
4. J. Andre Weideman

Citations in the corpus

• The AAA Algorithm for Rational Approximation (2016, methodology): “The simplest effective way to compute these approximants accurately is to transplant (−∞, 0] to [−1, 1] by a Möbius transformation and then apply CF approximation [62].”
• Is Gauss Quadrature Better than Clenshaw-Curtis? (2008, background): “The only other publication that I know of where figures like these appear is [56], for quadrature over (−∞, 0].”
• The Exponentially Convergent Trapezoidal Rule (2014, methodology): “Alternative applications of the trapezoidal rule to approximation of e are discussed in §16, and the underlying rational approximations are investigated in [171].”
• Implementation of a restarted Krylov subspace method for the evaluation of matrix functions (2008, unknown): “Alternative rational approximations are described in [25].”