Building Bridges Connections And Challenges In Modern Approaches To Numerical Partial Differential Equations PDF Download
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Author | : Gabriel R. Barrenechea |
Publisher | : Springer |
Total Pages | : 443 |
Release | : 2016-10-03 |
Genre | : Computers |
ISBN | : 3319416405 |
Download Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations Book in PDF, ePub and Kindle
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Author | : Hans Petter Langtangen |
Publisher | : Springer Nature |
Total Pages | : 395 |
Release | : 2019-09-26 |
Genre | : Mathematics |
ISBN | : 3030237885 |
Download Introduction to Numerical Methods for Variational Problems Book in PDF, ePub and Kindle
This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.
Author | : Michael Griebel |
Publisher | : Springer |
Total Pages | : 206 |
Release | : 2019-06-19 |
Genre | : Mathematics |
ISBN | : 3030151190 |
Download Meshfree Methods for Partial Differential Equations IX Book in PDF, ePub and Kindle
This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.
Author | : Michael Griebel |
Publisher | : Springer |
Total Pages | : 245 |
Release | : 2017-04-05 |
Genre | : Computers |
ISBN | : 3319519549 |
Download Meshfree Methods for Partial Differential Equations VIII Book in PDF, ePub and Kindle
There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.
Author | : Spencer J. Sherwin |
Publisher | : Springer Nature |
Total Pages | : 658 |
Release | : 2020-08-11 |
Genre | : Mathematics |
ISBN | : 3030396479 |
Download Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Book in PDF, ePub and Kindle
This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.
Author | : Marco L. Bittencourt |
Publisher | : Springer |
Total Pages | : 681 |
Release | : 2017-11-07 |
Genre | : Mathematics |
ISBN | : 3319658700 |
Download Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 Book in PDF, ePub and Kindle
This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.
Author | : Tom Lyche |
Publisher | : Springer Nature |
Total Pages | : 265 |
Release | : 2020-11-02 |
Genre | : Mathematics |
ISBN | : 303059789X |
Download Exercises in Numerical Linear Algebra and Matrix Factorizations Book in PDF, ePub and Kindle
To put the world of linear algebra to advanced use, it is not enough to merely understand the theory; there is a significant gap between the theory of linear algebra and its myriad expressions in nearly every computational domain. To bridge this gap, it is essential to process the theory by solving many exercises, thus obtaining a firmer grasp of its diverse applications. Similarly, from a theoretical perspective, diving into the literature on advanced linear algebra often reveals more and more topics that are deferred to exercises instead of being treated in the main text. As exercises grow more complex and numerous, it becomes increasingly important to provide supporting material and guidelines on how to solve them, supporting students’ learning process. This book provides precisely this type of supporting material for the textbook “Numerical Linear Algebra and Matrix Factorizations,” published as Vol. 22 of Springer’s Texts in Computational Science and Engineering series. Instead of omitting details or merely providing rough outlines, this book offers detailed proofs, and connects the solutions to the corresponding results in the textbook. For the algorithmic exercises the utmost level of detail is provided in the form of MATLAB implementations. Both the textbook and solutions are self-contained. This book and the textbook are of similar length, demonstrating that solutions should not be considered a minor aspect when learning at advanced levels.
Author | : Harald van Brummelen |
Publisher | : Springer Nature |
Total Pages | : 358 |
Release | : 2020-02-22 |
Genre | : Mathematics |
ISBN | : 3030307050 |
Download Numerical Methods for Flows Book in PDF, ePub and Kindle
This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.
Author | : Matteo Cicuttin |
Publisher | : Springer Nature |
Total Pages | : 138 |
Release | : 2021-11-11 |
Genre | : Mathematics |
ISBN | : 3030814777 |
Download Hybrid High-Order Methods Book in PDF, ePub and Kindle
This book provides a comprehensive coverage of hybrid high-order methods for computational mechanics. The first three chapters offer a gentle introduction to the method and its mathematical foundations for the diffusion problem. The next four chapters address applications of increasing complexity in the field of computational mechanics: linear elasticity, hyperelasticity, wave propagation, contact, friction, and plasticity. The last chapter provides an overview of the main implementation aspects including some examples of Matlab code. The book is primarily intended for graduate students, researchers, and engineers working in related fields of application, and it can also be used as a support for graduate and doctoral lectures.
Author | : Daniele Antonio Di Pietro |
Publisher | : Springer |
Total Pages | : 312 |
Release | : 2018-10-12 |
Genre | : Mathematics |
ISBN | : 3319946765 |
Download Numerical Methods for PDEs Book in PDF, ePub and Kindle
This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.