Scientific Computing and Algorithms in Industrial Simulations : Projects and Products of Fraunhofer SCAI /: Projects and Products of Fraunhofer SCAI. (2017)

• Record Type: Book
• Further Information: Note: Edited by Michael Griebel, Anton Schüller, Marc Alexander Schweitzer.
• Editors: Griebel, Michael; Schüller, Anton; Schweitzer, Marc Alexander
• Contents: Preface; Contents; Part I Methods; Calculation of Chemical Equilibria in Multi-Phase: Multicomponent Systems; 1 Introduction; 2 Problem Formulation; 2.1 Non-Ideal Gibbs Function; 2.2 Stoichiometric Constraints; 2.3 The Optimization Problem; 3 Methodology for the Calculation of Chemical Equilibria; 3.1 Reformulation of the Minimization Problem; 3.2 Discretization of the H-Problem; 3.3 Corrector Step; 4 Automated Detection of Miscibility Gaps; 5 Results; 5.1 Gibbs Free Energy Minimization Using BePhaSys. 5.2 Calculation of Two-Dimensional Phase Diagrams: Interpolation and ParallelizationAppendix: The Gibbs Free Energy Function; References; LC-GAP: Localized Coulomb Descriptors for the Gaussian Approximation Potential; 1 Introduction; 2 Potential Energy Prediction Through Machine Learning; 2.1 The GAP Framework and Gaussian Process Regression; 2.2 Localized Coulomb Matrix Descriptors; 3 Results; 3.1 Comparison of Descriptor Functions on QM7; 3.2 Larger Datasets and Prediction of Multiple Properties. 3.3 Distribution of Individual Atomic Contributions4 Conclusions and Future Work; References; River Bed Morphodynamics: Metamodeling, Reliability Analysis, and Visualization in a Virtual Environment; 1 Introduction; 2 RBF Metamodel; 3 Quantile Estimation; 3.1 Sensitivity-Based Approach; 3.1.1 First-Order Approximation; 3.1.2 Second-Order Approximation; 3.2 Monte Carlo; 3.3 Weighted Monte Carlo; 3.4 Quasi-Monte Carlo (QMC); 3.5 Quasi-Random Splines (QRS); 4 Numerical Tests; 5 Visualization in Virtual Environment; 6 Conclusion. 3.1 The First Documented AMG Application3.2 The Basics of `Classical' AMG; 4 The Renaissance of AMG (1995-2000); 4.1 Resumption of Major Research on AMG; 4.2 Towards Industry; 4.2.1 Computational Fluid Dynamics; 4.2.2 Streamline Approach in Oil Reservoir Simulation; 5 The Main AMG Development Phase (2000-Today); 5.1 The General Trend; 5.2 Bridging the Gap; 5.3 SAMG for Coupled PDE Systems; 5.3.1 Unknown-Based Approach; 5.3.2 Point-Based Approach; 5.3.3 Status of the Solver Framework SAMG; 6 Industry-Driven Applications.
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (VIII, 376 pages), color illustrations
• Subjects: 502.85; 004; Mathematics; Science -- Data processing; Computer science; Algorithms; Computer science -- Mathematics; Computer software; Numerical analysis; Mathematical models; SCIENCE -- General; Algorithms; Computer science; Computer science -- Mathematics; Computer software; Mathematical models; Mathematics; Numerical analysis; Science -- Data processing; Mathematics -- Number Systems; Computers -- Programming -- Algorithms; Computers -- Mathematical & Statistical Software; Mathematics -- Applied; Numerical analysis; Mathematical & statistical software; Mathematical modelling; Computers -- Computer Science; Maths for scientists; Mathematics; Computational Science and Engineering; Numerical Analysis; Algorithms; Mathematical Software; Mathematical Modeling and Industrial Mathematics; Electronic books; Electronic book
• Languages: English
• ISBNs: 9783319624587; 3319624571; 9783319624570
• Related ISBNs: 331962458X; 9783319624570
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.