Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Mathematical and Computational Approaches in Advancing Modern Science and Engineering
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.

Recent Advances in Scientific Computing and Applications

Recent Advances in Scientific Computing and Applications
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.

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
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.

Adaptive Moving Mesh Methods

Adaptive Moving Mesh Methods
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.

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Numerical Methods for Elliptic and Parabolic Partial Differential Equations
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.

Numerical Solution of Differential Equations

Numerical Solution of Differential Equations
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.

Sparse Grids and Applications - Munich 2018

Sparse Grids and Applications - Munich 2018
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.

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
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.