Nonlinear Steepest Descent and Numerical Solution of Riemann-Hilbert Problems
نویسندگان
چکیده
منابع مشابه
Nonlinear steepest descent and the numerical solution of Riemann–Hilbert problems
The effective and efficient numerical solution of Riemann–Hilbert problems has been demonstrated in recent work. With the aid of ideas from the method of nonlinear steepest descent for Riemann– Hilbert problems, the resulting numerical methods have been shown numerically to retain accuracy as values of certain parameters become arbitrarily large. The primary aim of this paper is to prove that t...
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In the application of the Deift-Zhou steepest descent method to the Riemann-Hilbert problem for orthogonal polynomials, a model Riemann-Hilbert problem that appears in the multi-cut case is solved with the use of hyperelliptic theta functions. We present here an alternative approach which uses meromorphic differentials instead of theta functions to construct the solution of the model Riemann-Hi...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2013
ISSN: 0010-3640
DOI: 10.1002/cpa.21497