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Extraction of Quantifiable Information from Complex Systems: 102 (Lecture Notes in Computational Science and Engineering) - Hardcover
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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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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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- VerlagSpringer
- Erscheinungsdatum2014
- ISBN 10 3319081586
- ISBN 13 9783319081588
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten462
- HerausgeberDahlke Stephan, Dahmen Wolfgang, Griebel Michael
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Extraction of Quantifiable Information from Complex Systems (Lecture Notes in Computational Science and Engineering, Band 102)
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2014. 432 Seiten Buch in neuwertigem Zustand. Wirkt unbenutzt. Lediglich Mini-BibSignatur auf Buchrücken und Barcode auf Vorsatz. Sprache: englisch. Ex library book in very good condition. Book with small signature and barcode inside. Language: english. 9783319081588 Sprache: Englisch Gewicht in Gramm: 816 Gebundene Ausgabe, Größe: 15.6 x 2.5 x 23.4 cm. Bestandsnummer des Verkäufers 1129679
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Extraction of Quantifiable Information from Complex Systems.
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xix, 432p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Lecture Notes in Computational Science And Engineering 102. Sprache: Englisch. Bestandsnummer des Verkäufers 1949CB
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EXTRACTION OF QUANTIFIABLE INFORMATION FROM COMPLEX SYSTEMS
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Extraction of Quantifiable Information from Complex Systems (Lecture Notes in Computational Science and Engineering)
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Hardcover. Zustand: Very Good. Hardcover, xix + 432pp, NOT ex-library. A minor small indentation to the side outer edge of pages. Else clean and bright throughout with unmarked text, free of inscriptions and stamps. Firm secure binding. Boards show regular shelfwear, a couple of small indentations to the side edge of the front panel. Published without a dust jacket. --- 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. -- Contents: Solving Stochastic Dynamic Programs by Convex Optimization and Simulation; Efficient Resolution of Anisotropic Structures; Regularity of the Parameter-to-State Map of a Parabolic Partial Differential Equation; Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates; Adaptive Wavelet Methods for SPDEs; Constructive Quantization and Multilevel Algorithms for Quadrature of Stochastic Differential Equations; Bayesian Inverse Problems and Kalman Filters; Robustness in Stochastic Filtering and Maximum Likelihood Estimation for SDEs; Adaptive Sparse Grids in Reinforcement Learning; A Review on Adaptive Low-Rank Approximation Techniques in the Hierarchical Tensor Format; A Bond Order Dissection ANOVA Approach for Efficient Electronic Structure Calculations; Tensor Spaces and Hierarchical Tensor Representations; Nonlinear Eigenproblems in Data Analysis; Balanced Graph Cuts and the Ratio DCA-Prox; Adaptive Approximation Algorithms for Sparse Data Representation; Error Bound for Hybrid Models of Two-scaled Stochastic Reaction Systems; Valuation of Structured Financial Products by Adaptive Multi wavelet Methods in High Dimensions; Computational Methods for the Fourier Analysis of Sparse High-Dimensional Functions; Sparsity and Compressed Sensing in Inverse Problems; Low-Rank Dynamics; Computation of Expectations by Markov Chain Monte Carlo Methods; Regularity, Complexity, and Approximability of Electronic Wavefunctions. Bestandsnummer des Verkäufers 003368
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Extraction of Quantifiable Information from Complex Systems (Lecture Notes in Computational Science and Engineering, 102)
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Extraction of Quantifiable Information from Complex Systems
Verlag:
Springer International Publishing Dez 2014, 2014
ISBN 10: 3319081586
ISBN 13: 9783319081588
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 460 pp. Englisch. Bestandsnummer des Verkäufers 9783319081588
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Extraction of Quantifiable Information from Complex Systems (Lecture Notes in Computational Science and Engineering, 102)
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Extraction of Quantifiable Information from Complex Systems
Verlag:
Springer International Publishing, 2014
ISBN 10: 3319081586
ISBN 13: 9783319081588
Neu
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783319081588
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Extraction of Quantifiable Information from Complex Systems
Verlag:
Springer International Publishing, 2014
ISBN 10: 3319081586
ISBN 13: 9783319081588
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Extraction of Quantifiable Information from Complex Systems
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