High Order Adaptive Collocation Software For One Dimensional Parabolic Partial Differential Equations
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Author | : Jacques Bélair |
Publisher | : Springer |
Total Pages | : 777 |
Release | : 2016-08-10 |
Genre | : Computers |
ISBN | : 3319303791 |
Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.
Author | : Jichun Li |
Publisher | : American Mathematical Soc. |
Total Pages | : 397 |
Release | : 2013-04-24 |
Genre | : Mathematics |
ISBN | : 0821887378 |
This volume contains the proceedings of the Eighth International Conference on Scientific Computing and Applications, held April 1-4, 2012, at the University of Nevada, Las Vegas. The papers in this volume cover topics such as finite element methods, multiscale methods, finite difference methods, spectral methods, collocation methods, adaptive methods, parallel computing, linear solvers, applications to fluid flow, nano-optics, biofilms, finance, magnetohydrodynamics flow, electromagnetic waves, the fluid-structure interaction problem, and stochastic PDEs. This book will serve as an excellent reference for graduate students and researchers interested in scientific computing and its applications.
Author | : Monica G. Cojocaru |
Publisher | : Springer |
Total Pages | : 538 |
Release | : 2015-07-03 |
Genre | : Computers |
ISBN | : 3319123076 |
The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.
Author | : Weizhang Huang |
Publisher | : Springer Science & Business Media |
Total Pages | : 446 |
Release | : 2010-10-26 |
Genre | : Mathematics |
ISBN | : 1441979166 |
This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.
Author | : |
Publisher | : |
Total Pages | : 892 |
Release | : 1994 |
Genre | : Aeronautics |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 674 |
Release | : 2003 |
Genre | : Dissertations, Academic |
ISBN | : |
Author | : Peter Knabner |
Publisher | : Springer Science & Business Media |
Total Pages | : 437 |
Release | : 2003-06-26 |
Genre | : Mathematics |
ISBN | : 038795449X |
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
Author | : Zhilin Li |
Publisher | : Cambridge University Press |
Total Pages | : 305 |
Release | : 2017-11-30 |
Genre | : Mathematics |
ISBN | : 1107163226 |
A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.
Author | : Hans-Joachim Bungartz |
Publisher | : Springer Nature |
Total Pages | : 268 |
Release | : 2022-03-14 |
Genre | : Mathematics |
ISBN | : 3030813622 |
Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.
Author | : Ivo Babuska |
Publisher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461242487 |
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.