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Efficient Implementation of High-Order Accurate Numerical Methods on Unstructured Grids

This thesis focuses on the development of high-order finite volume methods and discontinuous Galerkin methods, and presents possible;

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TILDA: Towards Industrial LES/DNS in Aeronautics

reports on the H2020 TILDA project, funded by the European Union in 2015-2018. The respective chapters demonstrate the potential of high-order;

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Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance

This book deals with the numerical analysis and efficient numerical treatment of high-dimensional integrals using sparse grids and other;

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Visualization of Large Unstructured Grids. Efficient Point and Cell Location

solutions for visualizing large unstructured grids, the approach of Garth and Joy further focuses on numerical robustness. The main difference;

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High-Order Methods For Incompressible Fl

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range;

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Numerical Methods for Stochastic Computations

the class of numerical methods based on generalized polynomial chaos (gPC). These fast, efficient, and accurate methods are an extension;

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Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation

Deterministic Numerical Methods for Unstructured-Mesh Neutron Transport Calculation presents the latest deterministic numerical methods;

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Numerical Schemes for Conservation Laws

for unstructured grids (finite volume methods). Higher order schemes are also included. In the second part of the book the algorithms for;

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Tensor Numerical Methods in Quantum Chemistry

cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a smart;

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Numerical Hamiltonian Problems

, numerical methods, order conditions, and implementation.The heart of the book, chapters 6 through 10, explores symplectic integration;

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The Robust Multigrid Technique

unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the;

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Scattered Data Approximation

stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further;

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Scattered Data Approximation

stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further;

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Sparse Grids and Applications Miami 2016

Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes;

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Handbook of Grid Generation

, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving;

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Unstructured Cellular Automata in Ecohydraulics Modelling

partial differential equations (PDE's) based on physical conservation principles, ecosystem dynamics often involve specific interactions at the;

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Unstructured Cellular Automata in Ecohydraulics Modelling

partial differential equations (PDE's) based on physical conservation principles, ecosystem dynamics often involve specific interactions at the;

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B-Series

, in particular, depend on B-series for a clean and elegant approach to the derivation of high order and efficient methods. However, the utility of B;

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New Numerical Scheme with Newton Polynomial

New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications provides a detailed discussion on the underpinnings;

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Efficient Numerical Methods and Information-Processing Techniques for Modeling Hydro- and Environmental Systems

numerical methods with the information-processing techniques, in order to achieve efficient numerical simulations for a wide range of applications;

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Time Dependen Prob & Difference Meth

: * High order methods on staggered grids * Extended treatment of Summation By Parts operators and their application to second-order derivatives;

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Lecture Notes on Numerical Methods for Hyperbolic Equations

contributions on: Nonlinear hyperbolic conservation laws First order schemes for the Euler equations High-order accuracy: monotonicity and non;

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Recent Advances in Numerical Methods for Hyperbolic PDE Systems

, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from;

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A Concise Introduction to Geometric Numerical Integration

traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric;

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Numerical Methods for Unsteady Compressible Flow Problems

enough detail and pointers to literature to facilitate implementation of methods and application of concepts. The book covers high order;

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The book presents the foundations of the numerical method of tape adaptive grids in gas dynamic problems developed with the help of the;

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Fault Analysis and Protection System Design for DC Grids

various voltage levels and for a range of applications. It bridges a much-needed research gap to enable wide-scale implementation of energy;

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