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Finite Difference Computing with PDEs A Modern Software Approach

Langtangen, Hans Petter Linge, Svein
Innbundet / 2017 / Engelsk

Produktdetaljer

ISBN
9783319554556
Publisert
2017-07-07
Utgiver
Vendor
Springer International Publishing AG
Høyde
254 mm
Bredde
178 mm
Aldersnivå
Upper undergraduate, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter
Langtangen, Hans Petter
Linge, Svein

Om bidragsyterne

Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.

Hans Petter Langtangen was a professor of computer science at the University of Oslo. He had formerly been a professor of mechanics and was the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He also developed open source and commercial software systems for computational sciences. Hans Petter Langtangen passed away in October 2016.

 

Finite Difference Computing with PDEs A Modern Software Approach

Langtangen, Hans Petter Linge, Svein
Innbundet / 2017 / Engelsk
Langtangen, Hans Petter Linge, Svein
Innbundet / 2017 / Engelsk
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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.
Les mer
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.
Preface.- Vibration ODEs.- Wave Equations.- Diffusion equations.- Advection-dominated equations.- Nonlinear problems.- Useful formulas.- Truncation error analysis.- Software engineering: wave equation model.- References.- Index. 
Les mer
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.
Les mer
An easy-to-read text explaining the ideas behind finite Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code Explains and demonstrates the skill of verifying computer code on the basis of numerous examples Elaborates on artifacts in simulation results, further enhancing readers’ understanding Includes supplementary material: sn.pub/extras
Les mer
Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Les mer

Relaterte produkter

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.
Les mer
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.
Preface.- Vibration ODEs.- Wave Equations.- Diffusion equations.- Advection-dominated equations.- Nonlinear problems.- Useful formulas.- Truncation error analysis.- Software engineering: wave equation model.- References.- Index. 
Les mer
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.
Les mer
An easy-to-read text explaining the ideas behind finite Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code Explains and demonstrates the skill of verifying computer code on the basis of numerous examples Elaborates on artifacts in simulation results, further enhancing readers’ understanding Includes supplementary material: sn.pub/extras
Les mer
Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Les mer

Produktdetaljer

ISBN
9783319554556
Publisert
2017-07-07
Utgiver
Vendor
Springer International Publishing AG
Høyde
254 mm
Bredde
178 mm
Aldersnivå
Upper undergraduate, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter
Langtangen, Hans Petter
Linge, Svein

Om bidragsyterne

Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.

Hans Petter Langtangen was a professor of computer science at the University of Oslo. He had formerly been a professor of mechanics and was the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He also developed open source and commercial software systems for computational sciences. Hans Petter Langtangen passed away in October 2016.

 

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