Numerical mathematics and advanced applications ENUMATH 2017. ([2019])

• Record Type: Book
• Further Information: Note: Editors: Florin Adrian Radu [and others].
• Editors: Radu, Florin Adrian
• Other Names: ENUMATH (Conference)
• Contents: Intro; Preface; Organisation; Organisation Committee of ENUMATH 2017; Programme Committee; Contents; Part I Plenary Lectures; PDE Apps for Acoustic Ducts: A Parametrized Component-to-System Model-Order-Reduction Approach; 1 Introduction; 2 Mathematical Formulation; 2.1 Governing Equations; 2.2 Quantities of Interest (QoI); 2.3 Models and Apps; 3 Numerical Approach; 3.1 Library; 3.2 Model Synthesis; 3.3 Truth Finite Element Approximation; 3.4 Static Condensation: Finite Element; 3.5 SCRBE Method; 3.6 Computational Procedure: Offline-Online Decomposition; 3.7 PDE App Architecture 4 PDE Apps: ExamplesReferences; Sub-voxel Perfusion Modeling in Terms of Coupled 3d-1d Problem; 1 Introduction; 2 Preconditioner for the Coupled Problem; 3 Discrete Preconditioner; 3.1 Auxiliary Operators; 3.2 Discrete Preconditioner for the Coupled Problem; 4 Perfusion Experiment; 4.1 Discussion of Perfusion Experiment; 4.2 Parameter Sensitivity Analysis; 5 Conclusions; References; Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations; 1 Introduction; 2 The Fully Discrete Approximation; 3 A Robust Iterative Scheme; 4 Iterative Schemes Based on Regularisation 5 Numerical Examples6 Conclusion; References; Mathematics and Medicine: How Mathematics, Modelling and Simulations Can Lead to Better Diagnosis and Treatments; 1 Introduction; 2 A Brief Introduction to Compartment Models and Tracer Kinetic; 3 A Spatial Two-Compartment Model for Brain Perfusion; 3.1 Conservation of Fluid Mass; 3.2 Balance of Forces; 3.3 Tracer Mass Balance and Indicator Dilution; 4 Parameter Estimation; 5 Numerical Example; 5.1 Forward Model; 5.2 Solution of Inverse Problem; 6 Outlook; References; Part II Kernel Methods for Large Scale Problems: Algorithms and Applications Convergence of Multilevel Stationary Gaussian Convolution1 Introduction; 2 Convergence of the Convolution Approximation; 3 Iterative Refinement; 4 Native Space for Gaussian Approximation; References; Anisotropic Weights for RBF-PU Interpolation with Subdomains of Variable Shapes; 1 Introduction; 2 The RBF-Based Partition of Unity Method; 3 Optimal Local Interpolants for the RBF-Based PU Method; 3.1 Local Error Estimates; 3.2 Description of the PU-LOOCV Method; 4 Numerical Experiments; 4.1 Experiments with Artificial Data; 4.2 Experiments with Real Data; 5 Conclusions; References Radial Basis Function Approximation Method for Pricing of Basket Options Under Jump Diffusion Model1 Introduction; 2 Basket Option Pricing Under Jump Diffusion Processes; 3 Payoff and Boundary Conditions; 4 Radial Basis Function Collocation Schemes; 4.1 Radial Basis Function Partition of Unity Method; 5 RBF Approximation Method for Basket Option Model; 5.1 Approximation of the Integral Term; 6 Numerical Experiments; References; Greedy Algorithms for Matrix-Valued Kernels; 1 Matrix-Valued Kernels; 2 Greedy Algorithm; 2.1 P-Greedy; 2.2 f-Greedy; 2.3 f/P-Greedy; 3 Numerical Example; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 519; Numerical analysis -- Congresses; MATHEMATICS / Applied; MATHEMATICS / Probability & Statistics / General; Electronic books
• Languages: English
• ISBNs: 9783319964157; 3319964151
• Related ISBNs: 9783319964140
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed January 10, 2019).
• 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.