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Sparse grids and applications / / Jochen Garcke, Michael Griebel, editors
Sparse grids and applications / / Jochen Garcke, Michael Griebel, editors
Edizione [1st ed. 2013.]
Pubbl/distr/stampa New York, : Springer, 2013
Descrizione fisica 1 online resource (289 p.)
Disciplina 510
Altri autori (Persone) GarckeJochen
GriebelMichael
Collana Lecture notes in computational science and engineering
Soggetto topico Numerical grid generation (Numerical analysis)
ISBN 3-642-31703-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Sparse Grids and Applications; Preface; Contents; Contributors; An Adaptive Sparse Grid Approach for Time Series Prediction; 1 Introduction and Problem Formulation; 2 Takens' Theorem and the Delay Embedding Scheme; 3 The Regression Problem and the Regularized Least Squares Approach; 3.1 Minimization for an Arbitrary Basis; 3.2 Minimization for a Kernel Basis in a Reproducing Kernel Hilbert Space; 4 Discretization via Sparse Grids; 4.1 Multilevel Hierarchical Bases and Regular Sparse Grids; 4.2 Space-Adaptive Sparse Grids; 4.3 Dimension-Adaptive Sparse Grids; 5 Numerical Results
5.1 Hénon Map in 2d5.2 Jump Map in 5d; 5.3 Small Dataset of the ANN and CI Forecasting Competition 2006/2007; 6 Concluding Remarks; References; Efficient Analysis of High Dimensional Data in Tensor Formats; 1 Introduction; 1.1 Tensorial Quantities; 2 Discretisation of Diffusion Problem with Uncertain Coefficient; 2.1 Spatial Discretisation; 2.2 Stochastic Discretisation; 2.3 Quadrature Rules and Sparse Integration Grids; 3 The Canonical Tensor Format; 4 Analysis of High Dimensional Data; 4.1 Computation of the Maximum Norm and Corresponding Index; 4.2 Computation of the Characteristic
4.3 Computation of Level Sets, Frequency, Mean Value, and Variance4.4 Computation of the Pointwise Inverse; 5 Complexity Analysis; 6 Numerical Experiments; 7 Conclusion; References; Sparse Grids in a Nutshell; 1 Introduction; 2 Sparse Grids; 2.1 Hierarchical Subspace-Splitting; 2.2 Properties of the Hierarchical Subspaces; 2.3 Sparse Grids; 2.4 Hierarchy Using Constant Functions; 3 Sparse Grid Combination Technique; 3.1 Optimised Combination Technique; References; Intraday Foreign Exchange Rate Forecasting Using Sparse Grids; 1 Introduction
2 Exchange Rate Forecasting as a Data Mining Problem2.1 Input Data; 2.2 Delay Embedding into a Feature Space; 2.3 Regularized Least Squares Regression; 3 Sparse Grid Discretization; 3.1 Sparse Grid Combination Technique; 4 Numerical Results; 4.1 Experimental Data; 4.2 Quality Assessment; 4.3 Forecasting Using a Single Currency Pair; 4.4 Forecasting Using Multiple Currency Pairs; 4.5 Towards a Practical Trading Strategy; 5 Conclusions; References; Dimension- and Time-Adaptive Multilevel Monte Carlo Methods; 1 Introduction; 2 Multilevel Monte Carlo Method
3 Adaptive Multilevel Monte Carlo Methods3.1 Dimension-Adaptive Algorithm; 3.2 Time-Adaptive Algorithm; 4 Numerical Results; 4.1 Dimension-Adaptive Algorithm; 4.2 Time-Adaptive Algorithm; 5 Concluding Remarks; References; An Efficient Sparse Grid Galerkin Approach for the Numerical Valuation of Basket Options Under Kou's Jump-Diffusion Model; 1 Introduction; 2 Option Pricing with Kou's Model; 2.1 One-Dimensional Model; 2.2 Multi-dimensional Case and Dependence Modelling; 2.3 Representation of the Multi-dimensional Process as Lévy Process; 2.4 Option Pricing; 3 Numerical Treatment
3.1 Time Discretization and Weak Formulation
Record Nr. UNINA-9910438144103321
New York, : Springer, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Sparse Grids and Applications - Miami 2016 / / edited by Jochen Garcke, Dirk Pflüger, Clayton G. Webster, Guannan Zhang
Sparse Grids and Applications - Miami 2016 / / edited by Jochen Garcke, Dirk Pflüger, Clayton G. Webster, Guannan Zhang
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (X, 262 p. 56 illus., 41 illus. in color.)
Disciplina 518
Collana Lecture Notes in Computational Science and Engineering
Soggetto topico Computer mathematics
Computer science—Mathematics
Computer simulation
Approximation theory
Computational Mathematics and Numerical Analysis
Mathematics of Computing
Simulation and Modeling
Approximations and Expansions
ISBN 3-319-75426-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910300101003321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Sparse Grids and Applications - Munich 2012 / / edited by Jochen Garcke, Dirk Pflüger
Sparse Grids and Applications - Munich 2012 / / edited by Jochen Garcke, Dirk Pflüger
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (345 p.)
Disciplina 004.36
Collana Lecture Notes in Computational Science and Engineering
Soggetto topico Computer mathematics
Computational Mathematics and Numerical Analysis
Computational Science and Engineering
ISBN 3-319-04537-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Gerrit Buse, Dirk Pfl¨uger, and Riko Jacob: Efficient Pseudorecursive Evaluation Schemes for Non-Adaptive Sparse Grids -- Oliver G. Ernst and Bj¨orn Sprungk: Stochastic Collocation for Elliptic PDEs with Random Data – The Lognormal Case -- Michael Griebel and Helmut Harbrecht: On the Convergence of the Combination Technique -- Michael Griebel and Jan Hamaekers: Fast Discrete Fourier Transform on Generalized Sparse Grids -- Michael Griebel and Jens Oettershagen: Dimension-adaptive Sparse Grid Quadrature for Integrals with Boundary Singularities -- Max Gunzburger, Clayton G. Webster, and Guannan Zhang: An Adaptive Wavelet Stochastic Collocation Method for Irregular Solutions of Partial Differential Equations with Random Input Data -- Brendan Harding and Markus Hegland: Robust Solutions to PDEs with Multiple Grids -- Riko Jacob: Efficient Regular Sparse Grid Hierarchization by a Dynamic Memory Layout -- Valeriy Khakhutskyy and Dirk Pflüger: Alternating Direction Method of Multipliers for Hierarchical Basis Approximators -- Christoph Kowitz and Markus Hegland: An Opticom Method for Computing Eigenpairs -- Benjamin Peherstorfer, Fabian Franzelin, Dirk Pfl¨uger, and Hans-Joachim Bungartz: Classification with Probability Density Estimation on Sparse Grids -- Bettina Schieche and Jens Lang: Adjoint Error Estimation for Stochastic Collocation Methods -- Sebastian Ullmann and Jens Lang: POD-Galerkin Modeling and Sparse-Grid Collocation for a Natural Convection Problem with Stochastic Boundary Conditions -- Matthias Wong and Markus Hegland: Opticom and the Iterative Combination Technique for Convex Minimisation.  .
Record Nr. UNINA-9910299963203321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Sparse grids and applications - Munich 2018 / / Hans-Joachim Bungartz, Jochen Garcke and Dirk Pflüger, editors
Sparse grids and applications - Munich 2018 / / Hans-Joachim Bungartz, Jochen Garcke and Dirk Pflüger, editors
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (268 pages)
Disciplina 519.4
Collana Lecture notes in computational science and engineering
Soggetto topico Numerical grid generation (Numerical analysis)
Sparse matrices
Numerical analysis
Matrius disperses
Anàlisi numèrica
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 3-030-81362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910552723703321
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Sparse grids and applications - Munich 2018 / / Hans-Joachim Bungartz, Jochen Garcke and Dirk Pflüger, editors
Sparse grids and applications - Munich 2018 / / Hans-Joachim Bungartz, Jochen Garcke and Dirk Pflüger, editors
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (268 pages)
Disciplina 519.4
Collana Lecture notes in computational science and engineering
Soggetto topico Numerical grid generation (Numerical analysis)
Sparse matrices
Numerical analysis
Matrius disperses
Anàlisi numèrica
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 3-030-81362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996466548203316
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Sparse Grids and Applications - Stuttgart 2014 / / edited by Jochen Garcke, Dirk Pflüger
Sparse Grids and Applications - Stuttgart 2014 / / edited by Jochen Garcke, Dirk Pflüger
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (348 p.)
Disciplina 510
Collana Lecture Notes in Computational Science and Engineering
Soggetto topico Computer mathematics
Algorithms
Computational Science and Engineering
Algorithm Analysis and Problem Complexity
ISBN 3-319-28262-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Peng Chen and Christoph Schwab: Adaptive Sparse Grid Model Order Reduction for Fast Bayesian Estimation and Inversion -- Fabian Franzelin and Dirk Pflüger: From Data to Uncertainty: An E_cient Integrated Data-Driven Sparse Grid Approach to Propagate Uncertainty -- Helmut Harbrecht and Michael Peters: Combination Technique Based Second Moment Analysis for Elliptic PDEs on Random Domains -- Brendan Harding: Adaptive sparse grids and extrapolation techniques -- Philipp Hupp and Riko Jacob: A Cache-Optimal Alternative to the Unidirectional Hierarchization Algorithm -- Valeriy Khakhutskyy and Markus Hegland: Spatially-Dimension- Adaptive Sparse Grids for Online Learning -- Katharina Kormann and Eric Sonnendrücker: Sparse Grids for the Vlasov–Poisson Equation -- Fabio Nobile, Lorenzo Tamellini, Francesco Tesei and Raul Tempone: An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient -- David Pfander, Alexander Heinecke, and Dirk Pflüger: A New Subspace-Based Algorithm for E_cient Spatially Adaptive Sparse Grid Regression, Classification and Multi- Evaluation -- Sharif Rahman, Xuchun Ren, and Vaibhav Yadav: High-Dimensional Stochastic Design Optimization by Adaptive-Sparse Polynomial Dimensional Decomposition -- Jie Shen, Yingwei Wang, and Haijun Yu: E_cient Spectral-Element Methods for the Electronic Schrödinger Equation -- Hoang Tran, Clayton G. Webster, and Guannan Zhang: A Sparse Grid Method for Bayesian Uncertainty Quantification with Application to Large Eddy Simulation Turbulence Models -- Julian Valentin and Dirk Pflüger: Hierarchical Gradient-Based Optimization with BSplines on Sparse Grids.
Record Nr. UNINA-9910254070203321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
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