In this lecture notes, we will introduce Asymptotics, then we will give a short glimpse on Perturbation theory (regular versus singular), which plays a crucial role especially in theoretical physics. Our goal is to find Asymptotic series that approximates the values of integrals depending on some parameter or the solutions of differential equations. These methods that lead to obtain more effective algorithms of numerical evaluation are called: Asymptotic Methods
Basing ourselves on the analysis of magnitude of order, we strictly prove fundamental lemmas for asy...
Differential equations can be divided into those that can be solved and those that cannot. The first...
Differential equations can be divided into those that can be solved and those that cannot. The first...
a. zagaris a brief foreword This set of notes is by no means meant as a stand-alone text from which ...
Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory i...
Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory i...
Many branches of science and engineering involve applications of mathematical analysis. An important...
This book gives a clear, practical and self-contained presentation of the methods of asymptotics and...
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integra...
Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation o...
AbstractPresented in this paper is a new algorithm for the asymptotic expansion of a solution to an ...
textabstractWe consider several model problems from a class of elliptic perturbation equations in tw...
The main purpose of this thesis is to address the application of perturbation expansion techniques f...
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integra...
The method of matched asymptotic expansions is a powerful systematic analytical method for asymptoti...
Basing ourselves on the analysis of magnitude of order, we strictly prove fundamental lemmas for asy...
Differential equations can be divided into those that can be solved and those that cannot. The first...
Differential equations can be divided into those that can be solved and those that cannot. The first...
a. zagaris a brief foreword This set of notes is by no means meant as a stand-alone text from which ...
Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory i...
Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory i...
Many branches of science and engineering involve applications of mathematical analysis. An important...
This book gives a clear, practical and self-contained presentation of the methods of asymptotics and...
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integra...
Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation o...
AbstractPresented in this paper is a new algorithm for the asymptotic expansion of a solution to an ...
textabstractWe consider several model problems from a class of elliptic perturbation equations in tw...
The main purpose of this thesis is to address the application of perturbation expansion techniques f...
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integra...
The method of matched asymptotic expansions is a powerful systematic analytical method for asymptoti...
Basing ourselves on the analysis of magnitude of order, we strictly prove fundamental lemmas for asy...
Differential equations can be divided into those that can be solved and those that cannot. The first...
Differential equations can be divided into those that can be solved and those that cannot. The first...
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