Introduction to the Method of Multiple Scales
by Per Jakobsen
Publisher: arXiv 2014
Number of pages: 65
Description:
These lecture notes give an introduction to perturbation method with main focus on the method of multiple scales as it applies to pulse propagation in nonlinear optics. The lecture notes are aimed at students that have little or no background in perturbation methods.
Download or read it online for free here:
Download link
(780KB, PDF)
Similar books
Lectures on Partial Differential Equationsby G.B. Folland - Tata Institute of Fundamental Research
The purpose of this course was to introduce students to the applications of Fourier analysis -- by which I mean the study of convolution operators as well as the Fourier transform itself -- to partial differential equations.
(4918 views)
Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problemsby Marco Squassina - Electronic Journal of Differential Equations
A survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasi-linear elliptic equations coming from functionals of the calculus of variations which turn out to be merely continuous.
(4929 views)
Introduction to Partial Differential Equationsby John Douglas Moore - UCSB
The author develops the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. He presents some of the mathematics that can be used to describe the vibrating circular membrane.
(8721 views)
Finite Difference Computing with PDEsby Hans Petter Langtangen, Svein Linge - Springer
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.
(1319 views)