Results 231 to 240 of about 753,055 (286)
Some of the next articles are maybe not open access.
1999
Abstract This Chapter describes techniques for obtaining approximations to periodic time solutions of nearly linear second-order differential equations subject to a harmonic forcing term, and to limit cycles of autonomous equations.
D W Jordan, P Smith
openaire +2 more sources
Abstract This Chapter describes techniques for obtaining approximations to periodic time solutions of nearly linear second-order differential equations subject to a harmonic forcing term, and to limit cycles of autonomous equations.
D W Jordan, P Smith
openaire +2 more sources
1999
Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
openaire +1 more source
Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
openaire +1 more source
2015
Abstract Chapter 1 discusses the mathematical aspects of the asymptotic theory. It starts with basic definitions, using for this purpose the so-called coordinate asymptotic expansions. Then the chapter turns to asymptotic analysis of integrals and describe, among others, the method of steepest descent. However, the main attention is with
Matthew N. O. Sadiku +1 more
+4 more sources
Abstract Chapter 1 discusses the mathematical aspects of the asymptotic theory. It starts with basic definitions, using for this purpose the so-called coordinate asymptotic expansions. Then the chapter turns to asymptotic analysis of integrals and describe, among others, the method of steepest descent. However, the main attention is with
Matthew N. O. Sadiku +1 more
+4 more sources
1991
Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of disciplines. Asymptotic expansions, strained coordinates
openaire +1 more source
Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of disciplines. Asymptotic expansions, strained coordinates
openaire +1 more source
1995
Abstract As we have seen in Chapters 3 and 4, the soliton is a solution of an integrable system (the NLS equation) which is obtained by the leading order approximation of the original equation (the Maxwell equations in a dielectric medium).
Akira Hasegawa, Yuji Kodama
openaire +1 more source
Abstract As we have seen in Chapters 3 and 4, the soliton is a solution of an integrable system (the NLS equation) which is obtained by the leading order approximation of the original equation (the Maxwell equations in a dielectric medium).
Akira Hasegawa, Yuji Kodama
openaire +1 more source