Analytical and Numerical Methods for the CMKdV-II Equation

Analytical and Numerical Methods for the CMKdV-II Equation

Parallel Numerical Methods for the CMKdV Equation

The class of complex modified Korteweg-de Vries (CMKdV) equations has many applications. One form of the CMKdV equation has been used to create models for the nonlinear evolution of plasma waves [9], for the propagation of transverse waves in a molecular chain [7]. Another form of the CMKdV equation has been used for the traveling-wave and for a double homoclinic orbit [8]. In this paper we int...

Parallel Split-Step Fourier Methods for the CMKdV Equation

The class of complex modified Korteweg-de Vries (CMKdV) equations has many applications. One form of the CMKdV equation has been used to create models for the nonlinear evolution of plasma waves , for the propagation of transverse waves in a molecular chain, and for a generalized elastic solid. Another form of the CMKdV equation has been used for the traveling-wave and for a double homoclinic o...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

A comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales

Boyd, J.P., A comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales, Applied Numerical Mathematics 7 (1991) 453-479. We compare four different techniques for solving the ordinary differential equation u,, + u = I on the unbounded interval, x E [ 00, co], when f( EX) decays rapidly as ) x ( + co. This problem, although very simple, is represent...