MULTILEVEL AND ADAPTIVE METHODS FOR NONLINEAR OPTIMIZATION PROBLEMS

Name: MULTILEVEL AND ADAPTIVE METHODS FOR NONLINEAR OPTIMIZATION PROBLEMS
Brand: VDM Verlag Dr. Müller
SKU: 9783639224368
Price: 51.01 EUR
Availability: InStock

From quantization to materials design

Автор: Maria Emelianenko

Език:

Корици: С меки корици

Издател: VDM Verlag Dr. Müller

Наличност: Налично при издателя, по поръчка

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This work discusses some novel multilevel and adaptive methods for nonlinear non-convex optimization...

Информация за книгата

Автор

Maria Emelianenko

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

116

EAN

9783639224368

Enbook ID

06830239

Издател

VDM Verlag Dr. Müller

Теглоt

184

Размери

149 x 220 x 15

Пълно описание

This work discusses some novel multilevel and adaptive methods for nonlinear non-convex optimization, focusing on two particular problems that come from the fields of materials science and quantization, with numerous applications, including image/signal compression, mesh generation and optimal placement of resources in the context of centroidal Voronoi tessellations. In particular, several acceleration methods for quantization are developed, including Newton-type and multilevel algorithms, both of which yield significant speedup comparing to traditional methods. Rigorous convergence analysis is provided and uniform convergence of the multilevel scheme with respect to the grid size and the number of grid levels is demonstrated. A new adaptive scheme for automating phase diagram construction in complex multicomponent materials systems is proposed. The new method utilizes the geometric properties of the energy surfaces together with effective sampling techniques to improve on the starting points for the minimization, which allows for a more accurate detection of miscibility gaps and more reliable materials characterization.

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MULTILEVEL AND ADAPTIVE METHODS FOR NONLINEAR OPTIMIZATION PROBLEMS

From quantization to materials design

Информация за книгата

Пълно описание

Може също да ви хареса

Клиенти, които купиха тази книга, купиха също