Advanced Topics In Computational Partial Differential Equations

Author : Hans Petter Langtangen,Aslak Tveito
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 51,6 Mb
Release : 2012-09-22
Category : Mathematics
ISBN : 9783642182372

Get Book

Advanced Topics in Computational Partial Differential Equations by Hans Petter Langtangen,Aslak Tveito Pdf

A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.

Author : Hans Petter Langtangen,Aslak Tveito
Publisher : Unknown
Page : 658 pages
File Size : 42,7 Mb
Release : 2007
Category : Electronic
ISBN : OCLC:804622999

Get Book

Advanced Topics in Computational Partial Differential Equations by Hans Petter Langtangen,Aslak Tveito Pdf

Author : Xiaobing Feng,Tim P. Schulze
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 43,5 Mb
Release : 2002
Category : Mathematics
ISBN : 9780821829707

Get Book

Recent Advances in Numerical Methods for Partial Differential Equations and Applications by Xiaobing Feng,Tim P. Schulze Pdf

An emerging field over the past 15 years, computational mathematics is a vast area which has experienced major developments in both algorithmic advances and applications to other fields. These developments have had profound implications in mathematics, science, engineering and industry. Compiled here are six of nine in-depth survey papers with an expository discussion on computational mathematics that were presented at the 2001 John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville. They focus on parallel numerical algorithms for partial differential equations, their implementation and applications in fluid mechanics and material science. Each of the lecturers is a leading researcher in the field of computational mathematics and its applications. This book will be a useful reference for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists. Prior knowledge of partial differential equations and their numerical methods is helpful.

Author : Stanley Osher,S.-Y. Cheng,Chi-Wang Shu,Tao Tang
Publisher : American Mathematical Soc.
Page : 222 pages
File Size : 47,8 Mb
Release : 2003
Category : Science
ISBN : 9780821831557

Get Book

Recent Advances in Scientific Computing and Partial Differential Equations by Stanley Osher,S.-Y. Cheng,Chi-Wang Shu,Tao Tang Pdf

The volume is from the proceedings of the international conference held in celebration of Stanley Osher's sixtieth birthday. It presents recent developments and exciting new directions in scientific computing and partial differential equations for time dependent problems and their interplay with other fields, such as image processing, computer vision and graphics. Over the past decade, there have been very rapid developments in the field. This volume emphasizes the strong interaction of advanced mathematics with real-world applications and algorithms. The book is suitable for graduate students and research mathematicians interested in scientific computing and partial differential equations.

Author : Michael Schäfer,Marek Behr,Miriam Mehl,Barbara Wohlmuth
Publisher : Springer
Page : 209 pages
File Size : 41,5 Mb
Release : 2018-08-21
Category : Computers
ISBN : 9783319938912

Get Book

Recent Advances in Computational Engineering by Michael Schäfer,Marek Behr,Miriam Mehl,Barbara Wohlmuth Pdf

This book comprises the proceedings of the 4th International Conference on Computational Engineering (ICCE 2017), held in Darmstadt, Germany on September 28-29, 2017. The conference is intended to provide an interdisciplinary meeting place for researchers and practitioners working on computational methods in all disciplines of engineering, applied mathematics and computer science. The aims of the conference are to discuss the state of the art in this challenging field, exchange experiences, develop promising perspectives for future research and initiate further cooperation. Computational Engineering is a modern and multidisciplinary science for computer-based modeling, simulation, analysis, and optimization of complex engineering applications and natural phenomena. The book contains an overview of selected approaches from numerics and optimization of Partial Differential Equations as well as uncertainty quantification techniques, typically in multiphysics environments. Where possible, application cases from engineering are integrated. The book will be of interest to researchers and practitioners of Computational Engineering, Applied Mathematics, Engineering Sciences and Computer Science.

Author : Hans P. Langtangen
Publisher : Springer Science & Business Media
Page : 862 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642557699

Get Book

Computational Partial Differential Equations by Hans P. Langtangen Pdf

This text teaches finite element methods and basic finite difference methods from a computational point of view. It emphasizes developing flexible computer programs using the numerical library Diffpack, which is detailed for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. This edition offers new applications and projects, and all program examples are available on the Internet.

Author : Hans Petter Langtangen
Publisher : Springer Science & Business Media
Page : 704 pages
File Size : 42,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662011706

Get Book

Computational Partial Differential Equations by Hans Petter Langtangen Pdf

Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.

Author : Shaun Forth,Paul Hovland,Eric Phipps,Jean Utke,Andrea Walther
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 49,8 Mb
Release : 2012-07-30
Category : Mathematics
ISBN : 9783642300233

Get Book

Recent Advances in Algorithmic Differentiation by Shaun Forth,Paul Hovland,Eric Phipps,Jean Utke,Andrea Walther Pdf

The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineering as well as aspects of AD theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideas also to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms target the efficiency of matrix-operation derivatives, detection and exploitation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to be differentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics that require specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative computation. The description of these characteristics and of the techniques for successfully using AD should make the proceedings a valuable source of information for users of AD tools.

Author : Barry Koren,Kees Vuik
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 51,8 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 9783642033872

Get Book

Advanced Computational Methods in Science and Engineering by Barry Koren,Kees Vuik Pdf

The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.

Author : Nandini Mahanama
Publisher : Unknown
Page : 300 pages
File Size : 49,8 Mb
Release : 2013-04
Category : Differential equations, Partial
ISBN : 1781542929

Get Book

Computational Partial Differential Equations by Nandini Mahanama Pdf

This book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who want gentle introductions to advanced topics like parallel computing, multi grid methods, and special methods for systems of PDEs. The goal of all chapters is to 'compute' solutions to problems, hence algorithmic and software issues play a central role.

Author : Ioannis P. Stavroulakis,Stepan A. Tersian
Publisher : World Scientific
Page : 328 pages
File Size : 42,9 Mb
Release : 2004
Category : Mathematics
ISBN : 981238815X

Get Book

Partial Differential Equations by Ioannis P. Stavroulakis,Stepan A. Tersian Pdf

This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.

Author : W. Fitzgibbon,Y.A. Kuznetsov,Pekka Neittaanmäki,Jacques Périaux,Olivier Pironneau
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 41,6 Mb
Release : 2010-01-08
Category : Science
ISBN : 9789048132393

Get Book

Applied and Numerical Partial Differential Equations by W. Fitzgibbon,Y.A. Kuznetsov,Pekka Neittaanmäki,Jacques Périaux,Olivier Pironneau Pdf

Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.

Author : B. N. Chetverushkin,W. Fitzgibbon,Y.A. Kuznetsov,P. Neittaanmäki,J. Periaux,O. Pironneau
Publisher : Springer
Page : 452 pages
File Size : 52,9 Mb
Release : 2018-07-19
Category : Technology & Engineering
ISBN : 9783319783253

Get Book

Contributions to Partial Differential Equations and Applications by B. N. Chetverushkin,W. Fitzgibbon,Y.A. Kuznetsov,P. Neittaanmäki,J. Periaux,O. Pironneau Pdf

This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume. It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016. This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications. This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained. It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.

Author : Michael Bader,Hans-Joachim Bungartz,Tobias Weinzierl
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 51,9 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9783642387623

Get Book

Advanced Computing by Michael Bader,Hans-Joachim Bungartz,Tobias Weinzierl Pdf

This proceedings volume collects review articles that summarize research conducted at the Munich Centre of Advanced Computing (MAC) from 2008 to 2012. The articles address the increasing gap between what should be possible in Computational Science and Engineering due to recent advances in algorithms, hardware, and networks, and what can actually be achieved in practice; they also examine novel computing architectures, where computation itself is a multifaceted process, with hardware awareness or ubiquitous parallelism due to many-core systems being just two of the challenges faced. Topics cover both the methodological aspects of advanced computing (algorithms, parallel computing, data exploration, software engineering) and cutting-edge applications from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the highly interdisciplinary nature of the Munich Centre of Advanced Computing.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 43,8 Mb
Release : 2008-10-10
Category : Mathematics
ISBN : 9783540799931

Get Book

Meshfree Methods for Partial Differential Equations IV by Michael Griebel,Marc Alexander Schweitzer Pdf

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.