Advances In Numerical Methods For Hyperbolic Balance Laws And Related Problems PDF Download
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Author | : Giacomo Albi |
Publisher | : Springer Nature |
Total Pages | : 241 |
Release | : 2023-06-02 |
Genre | : Mathematics |
ISBN | : 3031298756 |
Download Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems Book in PDF, ePub and Kindle
A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are hyperbolic systems with source terms, kinetic equations, and convection-reaction-diffusion equations. This book collects research advances in numerical methods for hyperbolic balance laws and kinetic equations together with related modelling aspects. All the contributions are based on the talks of the speakers of the Young Researchers’ Conference “Numerical Aspects of Hyperbolic Balance Laws and Related Problems”, hosted at the University of Verona, Italy, in December 2021.
Author | : María Luz Muñoz-Ruiz |
Publisher | : Springer Nature |
Total Pages | : 269 |
Release | : 2021-05-25 |
Genre | : Mathematics |
ISBN | : 3030728501 |
Download Recent Advances in Numerical Methods for Hyperbolic PDE Systems Book in PDF, ePub and Kindle
The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.
Author | : Remi Abgrall |
Publisher | : Elsevier |
Total Pages | : 610 |
Release | : 2017-01-16 |
Genre | : Mathematics |
ISBN | : 044463911X |
Download Handbook of Numerical Methods for Hyperbolic Problems Book in PDF, ePub and Kindle
Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage
Author | : Shi Jin |
Publisher | : Springer |
Total Pages | : 277 |
Release | : 2018-03-20 |
Genre | : Mathematics |
ISBN | : 3319671103 |
Download Uncertainty Quantification for Hyperbolic and Kinetic Equations Book in PDF, ePub and Kindle
This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.
Author | : Jan S. Hesthaven |
Publisher | : SIAM |
Total Pages | : 570 |
Release | : 2018-01-30 |
Genre | : Science |
ISBN | : 1611975107 |
Download Numerical Methods for Conservation Laws Book in PDF, ePub and Kindle
Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development; discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws; addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods; explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; includes MATLAB software with which all main methods and computational results in the book can be reproduced; and demonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons. Code and other supplemental material will be available online at publication.
Author | : Randall J. LeVeque |
Publisher | : Cambridge University Press |
Total Pages | : 582 |
Release | : 2002-08-26 |
Genre | : Mathematics |
ISBN | : 9780521009249 |
Download Finite Volume Methods for Hyperbolic Problems Book in PDF, ePub and Kindle
Publisher Description
Author | : Silvia Bertoluzza |
Publisher | : Springer Science & Business Media |
Total Pages | : 196 |
Release | : 2009-03-13 |
Genre | : Mathematics |
ISBN | : 3764389400 |
Download Numerical Solutions of Partial Differential Equations Book in PDF, ePub and Kindle
This book presents some of the latest developments in numerical analysis and scientific computing. Specifically, it covers central schemes, error estimates for discontinuous Galerkin methods, and the use of wavelets in scientific computing.
Author | : Bernardo Cockburn |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642597211 |
Download Discontinuous Galerkin Methods Book in PDF, ePub and Kindle
A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
Author | : Sylvie Benzoni-Gavage |
Publisher | : Springer Science & Business Media |
Total Pages | : 1117 |
Release | : 2008-01-12 |
Genre | : Mathematics |
ISBN | : 3540757120 |
Download Hyperbolic Problems: Theory, Numerics, Applications Book in PDF, ePub and Kindle
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
Author | : Li Ta-tsien |
Publisher | : World Scientific |
Total Pages | : 792 |
Release | : 2012-09-28 |
Genre | : Mathematics |
ISBN | : 9814417106 |
Download Hyperbolic Problems: Theory, Numerics And Applications (In 2 Volumes) Book in PDF, ePub and Kindle
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms.This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ';Hyperbolic Partial Differential Equations';. It is aimed at mathematicians, researchers in applied sciences and graduate students.