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Adaptive Method of Lines

Adaptive Method of Lines PDF Author: A, Vande Wouwer
Publisher: CRC Press
ISBN: 1420035614
Category : Mathematics
Languages : en
Pages : 435

Book Description
The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's

Adaptive Method of Lines

Adaptive Method of Lines PDF Author: A, Vande Wouwer
Publisher: CRC Press
ISBN: 1420035614
Category : Mathematics
Languages : en
Pages : 435

Book Description
The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's

An Adaptive Method of Lines with Error Control for Parabolic Equations of the Reaction-Diffusion Type

An Adaptive Method of Lines with Error Control for Parabolic Equations of the Reaction-Diffusion Type PDF Author: I. Babuska
Publisher:
ISBN:
Category :
Languages : en
Pages : 70

Book Description
The main idea of the method of lines and its implementations is presented Numerical results illustrating the approach are discussed. (Author).

High Order Adaptive Method of Lines for 1-D Parabolic Equations

High Order Adaptive Method of Lines for 1-D Parabolic Equations PDF Author: Rong Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 118

Book Description


High-order Adaptive Method of Lines for One-dimensional Parabolic Equations

High-order Adaptive Method of Lines for One-dimensional Parabolic Equations PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


MOLAG: a Method of Lines Adaptive Grid Interface for Nonlinear Partial Differential Equations

MOLAG: a Method of Lines Adaptive Grid Interface for Nonlinear Partial Differential Equations PDF Author: Lawrence Livermore Laboratory
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Adaptive Method of Lines for Magneto-hydrodynamic PDE Models

Adaptive Method of Lines for Magneto-hydrodynamic PDE Models PDF Author: Paul A. Zegeling
Publisher:
ISBN:
Category :
Languages : en
Pages : 25

Book Description


Adaptive Moving Mesh Methods

Adaptive Moving Mesh Methods PDF Author: Weizhang Huang
Publisher: Springer Science & Business Media
ISBN: 1441979166
Category : Mathematics
Languages : en
Pages : 446

Book Description
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.

High-order Adaptive Method of Lines for One-dimensional Parabolic Equations [microform]

High-order Adaptive Method of Lines for One-dimensional Parabolic Equations [microform] PDF Author: Rong Wang
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612494619
Category :
Languages : en
Pages : 118

Book Description


MOLAG

MOLAG PDF Author: Niels K. Madsen
Publisher:
ISBN:
Category :
Languages : en
Pages : 31

Book Description


Adaptive Numerical Solution of PDEs

Adaptive Numerical Solution of PDEs PDF Author: Peter Deuflhard
Publisher: Walter de Gruyter
ISBN: 3110283115
Category : Mathematics
Languages : en
Pages : 436

Book Description
This book deals with the general topic “Numerical solution of partial differential equations (PDEs)” with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like “Numerical Analysis in Modern Scientific Computing” by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence. Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted. The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study.