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Asymptotic expansions for ordinary differential equations
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Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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Journal ArticleDOI
Riemann‐Hilbert problem and matrix discrete Painlevé II systems
Journal ArticleDOI
On super-irreducible forms of linear differential systems with rational function coefficients
TL;DR: In this article, a system of n linear first-order differential equations (d/dx)y = A(x)y in a subfield F of the field C of complex numbers was considered and an algorithm for transforming the given system into an equivalent system over F(x]/(p) which is super-irreducible in each element α ∈ Γ was proposed.
Dissertation
Asymptotic and numerical methods for approximating distributions
TL;DR: In this paper, a formal method for deriving expansions and a family of expansions to which it leads is discussed, as well as generalizations of these expansions to problems where exact solutions are available and demonstrate that they are indeed accurate.
Journal ArticleDOI
An asymptotic theory for a class of nonlinear Robin problems
TL;DR: In this article, various asymptotic phenomena exhibited by solutions of singularly perturbed Robin boundary value problems are studied in the case when the right-hand side grows faster than the square of the derivative.
Proceedings ArticleDOI
Multiple-Precision Evaluation of the Airy Ai Function with Reduced Cancellation
TL;DR: The series expansion at the origin of the Airy function Ai(x) is alternating and hence problematic to evaluate for x > 0 due to cancellation, so the classical Miller algorithm is used to overcome this issue.