The Resource Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource)
Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource)
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The item Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 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 highdimensional systems is clearly one of the most challenging tasks in applied mathematics today. Since the problem of highdimensionality appears in many fields of application, the abovementioned synergy and crossfertilization 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.
 Language
 eng
 Extent
 XIX, 432 pages : 49 illustrations : 22 illustrations in color ;
 Contents

 D. Belomestny, C. Bender, F. Dickmann, and N. Schweizer: Solving Stochastic Dynamic Programs by Convex Optimization and Simulation
 W. Dahmen, C. Huang, G. Kutyniok, W
 Q Lim, C. Schwab, and G. Welper: Efficient Resolution of Anisotropic Structures
 R. Ressel, P. Dülk, S. Dahlke, K. S. Kazimierski, and P. Maass: Regularity of the Parametertostate Map of a Parabolic Partial Differential Equation
 N. Chegini, S. Dahlke, U. Friedrich, and R. Stevenson: Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates
 P. A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. Schilling: Adaptive Wavelet Methods for SPDEs
 M. Altmayer, S. Dereich, S. Li, T. MüllerGronbach, A. Neuenkirch, K. Ritter and L. Yaroslavtseva: Constructive Quantization and Multilevel Algorithms for Quadrature of Stochastic Differential Equations
 O. G. Ernst, B. Sprungk, and H
 J. Starkloff: Bayesian Inverse Problems and Kalman Filters
 J. Diehl, P. Friz, H. Mai, H. Oberhauser, S. Riedel, and W. Stannat: Robustness in Stochastic Filtering and Maximum Likelihood Estimation for SDEs
 J. Garcke and I. Klompmaker: Adaptive Sparse Grids in Reinforcement Learning
 J. Ballani, L. Grasedyck, and M. Kluge: A Review on Adaptive LowRank Approximation Techniques in the Hierarchical Tensor Format
 M. Griebel, J. Hamaekers, and F. Heber: A Bond Order Dissection ANOVA Approach for Efficient Electronic Structure Calculations
 W. Hackbusch and R. Schneider: Tensor Spaces and Hierarchical Tensor Representations
 L. Jost, S. Setzer, and M. Hein: Nonlinear Eigenproblems in Data Analysis  Balanced Graph Cuts and the Ratio DCAProx
 M. Guillemard, D. Heinen, A. Iske, S. KrauseSolberg, and G. Plonka: Adaptive Approximation Algorithms for Sparse Data Representation
 T. Jahnke and V. Sunkara: Error Bound for Hybrid Models of Twoscaled Stochastic Reaction Systems
 R. Kiesel, A. Rupp, and K. Urban: Valuation of Structured Financial Products by Adaptive Multi wavelet Methods in High Dimensions
 L Kämmerer, S. Kunis, I. Melzer, D. Potts, and T. Volkmer: Computational Methods for the Fourier Analysis of Sparse HighDimensional Functions
 E. Herrholz, D. Lorenz, G. Teschke, and D. Trede: Sparsity and Compressed Sensing in Inverse Problems
 C. Lubich: LowRank Dynamics
 E. Novak and D. Rudolf: Computation of Expectations by Markov Chain Monte Carlo Methods
 H. Yserentant: Regularity, Complexity, and Approximability of Electronic Wave functions
 Index
 Isbn
 9783319081595
 Label
 Extraction of Quantifiable Information from Complex Systems
 Title
 Extraction of Quantifiable Information from Complex Systems
 Statement of responsibility
 edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant
 Language
 eng
 Summary
 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 highdimensional systems is clearly one of the most challenging tasks in applied mathematics today. Since the problem of highdimensionality appears in many fields of application, the abovementioned synergy and crossfertilization 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.
 Assigning source
 Provided by Publisher
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Dahlke, Stephan.
 Dahmen, Wolfgang.
 Griebel, Michael.
 Hackbusch, Wolfgang.
 Ritter, Klaus.
 Schneider, Reinhold.
 Schwab, Christoph.
 Yserentant, Harry.
 SpringerLink (Online service)
 Series statement
 Lecture Notes in Computational Science and Engineering,
 Series volume
 102
 http://library.link/vocab/subjectName

 Mathematics
 Approximation theory
 Partial differential equations
 Applied mathematics
 Engineering mathematics
 Computer mathematics
 Numerical analysis
 Probabilities
 Label
 Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent.
 Contents
 D. Belomestny, C. Bender, F. Dickmann, and N. Schweizer: Solving Stochastic Dynamic Programs by Convex Optimization and Simulation  W. Dahmen, C. Huang, G. Kutyniok, W  Q Lim, C. Schwab, and G. Welper: Efficient Resolution of Anisotropic Structures  R. Ressel, P. Dülk, S. Dahlke, K. S. Kazimierski, and P. Maass: Regularity of the Parametertostate Map of a Parabolic Partial Differential Equation  N. Chegini, S. Dahlke, U. Friedrich, and R. Stevenson: Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates  P. A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. Schilling: Adaptive Wavelet Methods for SPDEs  M. Altmayer, S. Dereich, S. Li, T. MüllerGronbach, A. Neuenkirch, K. Ritter and L. Yaroslavtseva: Constructive Quantization and Multilevel Algorithms for Quadrature of Stochastic Differential Equations  O. G. Ernst, B. Sprungk, and H  J. Starkloff: Bayesian Inverse Problems and Kalman Filters  J. Diehl, P. Friz, H. Mai, H. Oberhauser, S. Riedel, and W. Stannat: Robustness in Stochastic Filtering and Maximum Likelihood Estimation for SDEs  J. Garcke and I. Klompmaker: Adaptive Sparse Grids in Reinforcement Learning  J. Ballani, L. Grasedyck, and M. Kluge: A Review on Adaptive LowRank Approximation Techniques in the Hierarchical Tensor Format  M. Griebel, J. Hamaekers, and F. Heber: A Bond Order Dissection ANOVA Approach for Efficient Electronic Structure Calculations  W. Hackbusch and R. Schneider: Tensor Spaces and Hierarchical Tensor Representations  L. Jost, S. Setzer, and M. Hein: Nonlinear Eigenproblems in Data Analysis  Balanced Graph Cuts and the Ratio DCAProx  M. Guillemard, D. Heinen, A. Iske, S. KrauseSolberg, and G. Plonka: Adaptive Approximation Algorithms for Sparse Data Representation  T. Jahnke and V. Sunkara: Error Bound for Hybrid Models of Twoscaled Stochastic Reaction Systems  R. Kiesel, A. Rupp, and K. Urban: Valuation of Structured Financial Products by Adaptive Multi wavelet Methods in High Dimensions  L Kämmerer, S. Kunis, I. Melzer, D. Potts, and T. Volkmer: Computational Methods for the Fourier Analysis of Sparse HighDimensional Functions  E. Herrholz, D. Lorenz, G. Teschke, and D. Trede: Sparsity and Compressed Sensing in Inverse Problems  C. Lubich: LowRank Dynamics  E. Novak and D. Rudolf: Computation of Expectations by Markov Chain Monte Carlo Methods  H. Yserentant: Regularity, Complexity, and Approximability of Electronic Wave functions  Index
 Control code
 9783319081595
 Dimensions
 unknown
 Extent
 XIX, 432 pages : 49 illustrations : 22 illustrations in color ;
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319081595
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319081595
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086456938
 Label
 Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent.
 Contents
 D. Belomestny, C. Bender, F. Dickmann, and N. Schweizer: Solving Stochastic Dynamic Programs by Convex Optimization and Simulation  W. Dahmen, C. Huang, G. Kutyniok, W  Q Lim, C. Schwab, and G. Welper: Efficient Resolution of Anisotropic Structures  R. Ressel, P. Dülk, S. Dahlke, K. S. Kazimierski, and P. Maass: Regularity of the Parametertostate Map of a Parabolic Partial Differential Equation  N. Chegini, S. Dahlke, U. Friedrich, and R. Stevenson: Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates  P. A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R. Schilling: Adaptive Wavelet Methods for SPDEs  M. Altmayer, S. Dereich, S. Li, T. MüllerGronbach, A. Neuenkirch, K. Ritter and L. Yaroslavtseva: Constructive Quantization and Multilevel Algorithms for Quadrature of Stochastic Differential Equations  O. G. Ernst, B. Sprungk, and H  J. Starkloff: Bayesian Inverse Problems and Kalman Filters  J. Diehl, P. Friz, H. Mai, H. Oberhauser, S. Riedel, and W. Stannat: Robustness in Stochastic Filtering and Maximum Likelihood Estimation for SDEs  J. Garcke and I. Klompmaker: Adaptive Sparse Grids in Reinforcement Learning  J. Ballani, L. Grasedyck, and M. Kluge: A Review on Adaptive LowRank Approximation Techniques in the Hierarchical Tensor Format  M. Griebel, J. Hamaekers, and F. Heber: A Bond Order Dissection ANOVA Approach for Efficient Electronic Structure Calculations  W. Hackbusch and R. Schneider: Tensor Spaces and Hierarchical Tensor Representations  L. Jost, S. Setzer, and M. Hein: Nonlinear Eigenproblems in Data Analysis  Balanced Graph Cuts and the Ratio DCAProx  M. Guillemard, D. Heinen, A. Iske, S. KrauseSolberg, and G. Plonka: Adaptive Approximation Algorithms for Sparse Data Representation  T. Jahnke and V. Sunkara: Error Bound for Hybrid Models of Twoscaled Stochastic Reaction Systems  R. Kiesel, A. Rupp, and K. Urban: Valuation of Structured Financial Products by Adaptive Multi wavelet Methods in High Dimensions  L Kämmerer, S. Kunis, I. Melzer, D. Potts, and T. Volkmer: Computational Methods for the Fourier Analysis of Sparse HighDimensional Functions  E. Herrholz, D. Lorenz, G. Teschke, and D. Trede: Sparsity and Compressed Sensing in Inverse Problems  C. Lubich: LowRank Dynamics  E. Novak and D. Rudolf: Computation of Expectations by Markov Chain Monte Carlo Methods  H. Yserentant: Regularity, Complexity, and Approximability of Electronic Wave functions  Index
 Control code
 9783319081595
 Dimensions
 unknown
 Extent
 XIX, 432 pages : 49 illustrations : 22 illustrations in color ;
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319081595
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319081595
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086456938
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ExtractionofQuantifiableInformationfrom/kxtxIAFdaSI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ExtractionofQuantifiableInformationfrom/kxtxIAFdaSI/">Extraction of Quantifiable Information from Complex Systems, edited by Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>