Computational Partial Differential Equations

Computational Partial Differential Equations PDF Author: Hans Petter Langtangen
Publisher: Springer Science & Business Media
ISBN: 3662011700
Category : Mathematics
Languages : en
Pages : 704

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Book Description
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.

Computational Partial Differential Equations

Computational Partial Differential Equations PDF Author: Hans Petter Langtangen
Publisher: Springer Science & Business Media
ISBN: 3662011700
Category : Mathematics
Languages : en
Pages : 704

Get Book Here

Book Description
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.

Advances in Computer Methods for Partial Differential Equations-V

Advances in Computer Methods for Partial Differential Equations-V PDF Author: Robert Vichnevetsky
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 580

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Book Description


Finite Difference Computing with PDEs

Finite Difference Computing with PDEs PDF Author: Hans Petter Langtangen
Publisher: Springer
ISBN: 3319554565
Category : Computers
Languages : en
Pages : 522

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Book Description
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Advances in Computer Methods for Partial Differential Equations

Advances in Computer Methods for Partial Differential Equations PDF Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 588

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Book Description


Advances in Computer Methods for Partial Differential Equations II

Advances in Computer Methods for Partial Differential Equations II PDF Author: Robert Vichnevetsky
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 412

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Book Description


Advances in Computer Methods for Partial Differential Equations-VI

Advances in Computer Methods for Partial Differential Equations-VI PDF Author: Robert Vichnevetsky
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 588

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Book Description


Advances in Computer Methods for Partial Differential Equations-IV

Advances in Computer Methods for Partial Differential Equations-IV PDF Author: Robert Vichnevetsky
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 440

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Book Description


Advances in Computer Methods for Partial Differential Equations-III

Advances in Computer Methods for Partial Differential Equations-III PDF Author: Robert Vichnevetsky
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 464

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Book Description
One Thursday Imogene wakes up with a pair of antlers growing out of her head and causes a sensation.

Finite Difference Methods for Ordinary and Partial Differential Equations

Finite Difference Methods for Ordinary and Partial Differential Equations PDF Author: Randall J. LeVeque
Publisher: SIAM
ISBN: 9780898717839
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Partial Differential Equations

Partial Differential Equations PDF Author: Walter A. Strauss
Publisher: John Wiley & Sons
ISBN: 0470054565
Category : Mathematics
Languages : en
Pages : 467

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Book Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.