๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New analytical methods for cleaning up the solution of nonlinear equations

โœ Scribed by J.-H. He; E.W.M. Lee

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
273 KB
Volume
58
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

Analytical methods belong to perhaps the most challenging, promising, and 'romantic' area of modern mathematics, and are playing an even more important role in the mathematics and other ramifications of science, prompting a resurgence of interest in the application of modern as well as classical or ancient mathematics to the search for approximate analytical solutions for various real-life nonlinear physical problems. MatLab and other mathematical software give rise to the tantalizing possibility of analytically seeking approximate solutions to specific problems and revealing various features of the series of solutions obtained.

๐Ÿ“œ SIMILAR VOLUMES

Toward a new analytical method for solvi
Toward a new analytical method for solving nonlinear fractional differential equations
โœ Asghar Ghorbani ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 333 KB

differential equations of fractional order a b s t r a c t The variational iteration method is widely used in approximate calculation. The main difficulty of the method is to identify the Lagrange multiplier, k, for differential equations of fractional order, especially of high order, where the pro

Monte Carlo methods for the solution of
Monte Carlo methods for the solution of nonlinear partial differential equations
โœ Guillermo Marshall ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 752 KB

Stochastic models for the solution of nonlinear partial differential equations are discussed. They consist of a discretized version of these equations and Monte Carlo techniques. The Markov transitions are based on a priori estimates of the solution. To improve the efficiency of stochastic smoothers

On the Domain of Analyticity for Solutio
On the Domain of Analyticity for Solutions of Second Order Analytic Nonlinear Differential Equations
โœ Marcel Oliver; Edriss S. Titi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

The radius of analyticity of periodic analytic functions can be characterized by the decay of their Fourier coefficients. This observation has led to the use of socalled Gevrey norms as a simple way of estimating the time evolution of the spatial radius of analyticity of solutions to parabolic as we