Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions
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Published By Society For Industrial And Applied Mathematics

9781611974195, 9781611974201

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Appendix D: Rational Approximation

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.appd ◽

2015 ◽

pp. 347-355

Keyword(s):

Rational Approximation

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Chapter 3: Inverse Scattering and Nonlinear Steepest Descent

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch3 ◽

2015 ◽

pp. 87-105

Keyword(s):

Inverse Scattering ◽

Steepest Descent ◽

Nonlinear Steepest Descent

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Chapter 10: The Painlevé II Transcendents

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch10 ◽

2015 ◽

pp. 253-268

Keyword(s):

Painlevé Ii

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Chapter 11: The Finite-Genus Solutions of the Korteweg–de Vries Equation

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch11 ◽

2015 ◽

pp. 269-302

Keyword(s):

Vries Equation ◽

De Vries ◽

Finite Genus

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Chapter 5: Numerical Computation of Cauchy Transforms

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch5 ◽

2015 ◽

pp. 125-153

Keyword(s):

Numerical Computation ◽

Cauchy Transforms

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Chapter 2: Riemann–Hilbert Problems

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch2 ◽

2015 ◽

pp. 23-85

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Chapter 1: Classical Applications of Riemann–Hilbert Problems

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch1 ◽

2015 ◽

pp. 3-21

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Chapter 9: The Focusing and Defocusing Nonlinear Schrödinger Equations

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch9 ◽

2015 ◽

pp. 231-251

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Chapter 4: Approximating Functions

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch4 ◽

2015 ◽

pp. 109-123

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Chapter 12: The Dressing Method and Nonlinear Superposition

Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions ◽

10.1137/1.9781611974201.ch12 ◽

2015 ◽

pp. 303-320

Keyword(s):

Dressing Method ◽

Nonlinear Superposition

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