Displaying similar documents to “Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation”

Global solution to a generalized nonisothermal Ginzburg-Landau system

Nesrine Fterich (2010)

Applications of Mathematics

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The article deals with a nonlinear generalized Ginzburg-Landau (Allen-Cahn) system of PDEs accounting for nonisothermal phase transition phenomena which was recently derived by A. Miranville and G. Schimperna: Nonisothermal phase separation based on a microforce balance, Discrete Contin. Dyn. Syst., Ser. B, (2005), 753–768. The existence of solutions to a related Neumann-Robin problem is established in an N 3 -dimensional space setting. A fixed point procedure guarantees the existence...

A conjugate gradient method with quasi-Newton approximation

Jonas Koko (2000)

Applicationes Mathematicae

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The conjugate gradient method of Liu and Storey is an efficient minimization algorithm which uses second derivatives information, without saving matrices, by finite difference approximation. It is shown that the finite difference scheme can be removed by using a quasi-Newton approximation for computing a search direction, without loss of convergence. A conjugate gradient method based on BFGS approximation is proposed and compared with existing methods of the same class.