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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Extraction of Quantifiable Information from Complex Systems (Hardcover, 2014 ed.)
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Extraction of Quantifiable Information from Complex Systems (Hardcover, 2014 ed.)
Series: Lecture Notes in Computational Science and Engineering, 102
Expected to ship within 10 - 15 working days
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In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved
the Priority Program 1324 "Mathematical Methods for Extracting
Quantifiable Information from Complex Systems." This volume
presents a comprehensive overview of the most important results
obtained over the course of the program. Mathematical models of
complex systems provide the foundation for further technological
developments in science, engineering and computational finance.
Motivated by the trend toward steadily increasing computer power,
ever more realistic models have been developed in recent years.
These models have also become increasingly complex, and their
numerical treatment poses serious challenges. Recent developments
in mathematics suggest that, in the long run, much more powerful
numerical solution strategies could be derived if the
interconnections between the different fields of research were
systematically exploited at a conceptual level. Accordingly, a
deeper understanding of the mathematical foundations as well as the
development of new and efficient numerical algorithms were among
the main goals of this Priority Program. The treatment of
high-dimensional systems is clearly one of the most challenging
tasks in applied mathematics today. Since the problem of
high-dimensionality appears in many fields of application, the
above-mentioned synergy and cross-fertilization effects were
expected to make a great impact. To be truly successful, the
following issues had to be kept in mind: theoretical research and
practical applications had to be developed hand in hand; moreover,
it has proven necessary to combine different fields of mathematics,
such as numerical analysis and computational stochastics. To keep
the whole program sufficiently focused, we concentrated on specific
but related fields of application that share common characteristics
and as such, they allowed us to use closely related approaches.
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