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Discover How Geometric Integrators Preserve the Main Qualitative
Properties of Continuous Dynamical Systems A Concise Introduction
to Geometric Numerical Integration presents the main themes,
techniques, and applications of geometric integrators for
researchers in mathematics, physics, astronomy, and chemistry who
are already familiar with numerical tools for solving differential
equations. It also offers a bridge from traditional training in the
numerical analysis of differential equations to understanding
recent, advanced research literature on numerical geometric
integration. The book first examines high-order classical
integration methods from the structure preservation point of view.
It then illustrates how to construct high-order integrators via the
composition of basic low-order methods and analyzes the idea of
splitting. It next reviews symplectic integrators constructed
directly from the theory of generating functions as well as the
important category of variational integrators. The authors also
explain the relationship between the preservation of the geometric
properties of a numerical method and the observed favorable error
propagation in long-time integration. The book concludes with an
analysis of the applicability of splitting and composition methods
to certain classes of partial differential equations, such as the
Schroedinger equation and other evolution equations. The motivation
of geometric numerical integration is not only to develop numerical
methods with improved qualitative behavior but also to provide more
accurate long-time integration results than those obtained by
general-purpose algorithms. Accessible to researchers and
post-graduate students from diverse backgrounds, this introductory
book gets readers up to speed on the ideas, methods, and
applications of this field. Readers can reproduce the figures and
results given in the text using the MATLAB (R) programs and model
files available online.
The book contains a selection of contributions given
at the 23th Congress on Differential Equations and
Applications (CEDYA) / 13th Congress of Applied Mathematics
(CMA) that took place at Castellon, Spain, in 2013. CEDYA is
renowned as the congress of the Spanish Society of Applied
Mathematics (SEMA) and constitutes the main forum and meeting point
for applied mathematicians in Spain. The papers included in this
book have been selected after a thorough refereeing process and
provide a good summary of the recent activity developed by
different groups working mainly in Spain on applications of
mathematics to several fields of science and technology. The
purpose is to provide a useful reference of academic and industrial
researchers working in the area of numerical analysis and its
applications.
The book contains a selection of contributions given at the 23th
Congress on Differential Equations and Applications (CEDYA) / 13th
Congress of Applied Mathematics (CMA) that took place at Castellon,
Spain, in 2013. CEDYA is renowned as the congress of the Spanish
Society of Applied Mathematics (SEMA) and constitutes the main
forum and meeting point for applied mathematicians in Spain. The
papers included in this book have been selected after a thorough
refereeing process and provide a good summary of the recent
activity developed by different groups working mainly in Spain on
applications of mathematics to several fields of science and
technology. The purpose is to provide a useful reference of
academic and industrial researchers working in the area of
numerical analysis and its applications.
Y Padecido En Las Islas Filipinas. This Book Is In Spanish.
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Lelio, O, Dialogo De Marco Tulio Ciceron Sobre La Amistad:
Nueva Traduccion Con El Testo Latino Y Notas, Seguida De Algunos
Fragmentos De Seneca Sobre La Amistad ... Fernando Casas, Marc
Tul-li Cicero Impr. de la Revista Medica, 1841
Y Padecido En Las Islas Filipinas. This Book Is In Spanish.
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