Hans Petter Langtangen's Books

A Primer on Scientific Programming with Python

By: Hans Petter Langtangen

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A Primer on Scientific Programming with Python

By: Hans Petter Langtangen

Theaimofthisbookistoteachcomputerprogrammingusingexamples from mathematics and the natural sciences. We have chosen to use the Python programming language because it combines remarkable power with very clean, simple, and compact syntax. Python is easy to learn and very well suited for an introduction to computer programming. Python is also quite similar to Matlab and a good language for doing mathematical computing. It is easy to combine Python with compiled languages, like Fortran, C, and C++, which are widely used languages forscienti?ccomputations.AseamlessintegrationofPythonwithJava is o?ered by a special version of Python called Jython. The examples in this book integrate programming with appli- tions to mathematics, physics, biology, and ?nance. The reader is - pected to have knowledge of basic one-variable calculus as taught in mathematics-intensive programs in high schools. It is certainly an - vantage to take a university calculus course in parallel, preferably c- taining both classical and numerical aspects of calculus. Although not strictly required, a background in high school physics makes many of the examples more meaningful.

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694

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Springer

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ISBN 10

3642024742

ISBN 13

9783642024740

Python Scripting for Computational Science

By: Hans Petter Langtangen

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Python Scripting for Computational Science

By: Hans Petter Langtangen

Hans Langtangen explains how to develop tailored, flexible and efficient working environments built from small programs written in Python. The focus is on examples and applications of relevance to computational science.

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760

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ISBN 10

3642219624

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9783642219627

Finite Difference Computing with Exponential Decay Models

By: Hans Petter Langtangen

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Finite Difference Computing with Exponential Decay Models

By: Hans Petter Langtangen

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.

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210

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Springer

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ISBN 10

3319294393

ISBN 13

9783319294391

Programming for Computations - Python

A Gentle Introduction to Numerical Simulations with Python

By: Svein Linge,Hans Petter Langtangen

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Programming for Computations - Python

A Gentle Introduction to Numerical Simulations with Python

By: Svein Linge,Hans Petter Langtangen

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

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244

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Springer

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ISBN 10

3319324284

ISBN 13

9783319324289

Finite Difference Computing with Exponential Decay Models

By: Hans Petter Langtangen

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Finite Difference Computing with Exponential Decay Models

By: Hans Petter Langtangen

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210

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ISBN 10

3319294393

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9783319294391

Python Scripting for Computational Science

By: Hans Petter Langtangen

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Python Scripting for Computational Science

By: Hans Petter Langtangen

Scripting with Python makes you productive and increases the reliability of your scientific work. Here, the author teaches you how to develop tailored, flexible, and efficient working environments built from small programs (scripts) written in Python. The focus is on examples and applications of relevance to computational science: gluing existing applications and tools, e.g. for automating simulation, data analysis, and visualization; steering simulations and computational experiments; equipping programs with graphical user interfaces; making computational Web services; creating interactive interfaces with a Maple/Matlab-like syntax to numerical applications in C/C++ or Fortran; and building flexible object-oriented programming interfaces to existing C/C++ or Fortran libraries.

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743

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Springer Science & Business Media

Published Date

ISBN 10

3662054507

ISBN 13

9783662054505

Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

By: Hans Petter Langtangen

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Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

By: Hans Petter Langtangen

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.

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704

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Springer Science & Business Media

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ISBN 10

3662011700

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9783662011706

A Primer on Scientific Programming with Python

By: Hans Petter Langtangen

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A Primer on Scientific Programming with Python

By: Hans Petter Langtangen

The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen ... does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objects and functions and embracing the object-oriented paradigm. ... Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python ‘on the streets’ could be a little jealous of students who have the opportunity to take a course out of Langtangen’s Primer.” John D. Cook, The Mathematical Association of America, September 2011 This book goes through Python in particular, and programming in general, via tasks that scientists will likely perform. It contains valuable information for students new to scientific computing and would be the perfect bridge between an introduction to programming and an advanced course on numerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012 “This fourth edition is a wonderful, inclusive textbook that covers pretty much everything one needs to know to go from zero to fairly sophisticated scientific programming in Python...” Joan Horvath, Computing Reviews, March 2015

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942

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Springer

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ISBN 10

3662498871

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9783662498873

Elements of Scientific Computing

By: Aslak Tveito,Hans Petter Langtangen,Bjørn Frederik Nielsen,Xing Cai

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Elements of Scientific Computing

By: Aslak Tveito,Hans Petter Langtangen,Bjørn Frederik Nielsen,Xing Cai

Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.

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470

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Springer Science & Business Media

Published Date

ISBN 10

3642112986

ISBN 13

9783642112980

Programming for Computations - MATLAB/Octave

A Gentle Introduction to Numerical Simulations with MATLAB/Octave

By: Svein Linge,Hans Petter Langtangen

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Programming for Computations - MATLAB/Octave

A Gentle Introduction to Numerical Simulations with MATLAB/Octave

By: Svein Linge,Hans Petter Langtangen

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228

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Springer

Published Date

ISBN 10

3319324527

ISBN 13

9783319324524

Solving PDEs in Python

The FEniCS Tutorial I

By: Hans Petter Langtangen,Anders Logg

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Solving PDEs in Python

The FEniCS Tutorial I

By: Hans Petter Langtangen,Anders Logg

This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier–Stokes equations, and systems of nonlinear advection–diffusion–reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs. This book is open access under a CC BY license.

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152

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Springer

Published Date

ISBN 10

3319524623

ISBN 13

9783319524627

Introduction to Numerical Methods for Variational Problems

By: Hans Petter Langtangen,Kent-Andre Mardal

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Introduction to Numerical Methods for Variational Problems

By: Hans Petter Langtangen,Kent-Andre Mardal

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

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405

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Springer Nature

Published Date

ISBN 10

3030237885

ISBN 13

9783030237882

Modern Software Tools for Scientific Computing

By: E. Arge,A. Bruaset,Hans Petter Langtangen

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Modern Software Tools for Scientific Computing

By: E. Arge,A. Bruaset,Hans Petter Langtangen

The purpose of this book is to survey some recent advances in the development of software tools for scientific computing. This book presents 17 carefully selected and refereed chapters originally presented at the SciTools '96 Workshop in Oslo, Norway. The chapters emphasize the design of large software codes, computational efficiency, object-oriented programming in scientific computing, reliability of numerical software, and parallel computing.

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400

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Springer Science & Business Media

Published Date

ISBN 10

0817639748

ISBN 13

9780817639747

Finite Difference Computing with PDEs

A Modern Software Approach

By: Hans Petter Langtangen,Svein Linge

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Finite Difference Computing with PDEs

A Modern Software Approach

By: Hans Petter Langtangen,Svein Linge

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.

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522

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Springer

Published Date

ISBN 10

3319554565

ISBN 13

9783319554563

Scaling of Differential Equations

By: Hans Petter Langtangen,Geir K. Pedersen

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Scaling of Differential Equations

By: Hans Petter Langtangen,Geir K. Pedersen

The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.

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149

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Springer

Published Date

ISBN 10

3319327267

ISBN 13

9783319327266

Programming for Computations - Python

A Gentle Introduction to Numerical Simulations with Python 3.6

By: Svein Linge,Hans Petter Langtangen

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Programming for Computations - Python

A Gentle Introduction to Numerical Simulations with Python 3.6

By: Svein Linge,Hans Petter Langtangen

This book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification.

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350

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Springer Nature

Published Date

ISBN 10

3030168778

ISBN 13

9783030168773

Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

By: Hans Petter Langtangen

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Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

By: Hans Petter Langtangen

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704

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Springer Science & Business Media

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3662011700

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9783662011706

Introduction to Numerical Methods for Variational Problems

By: Hans Petter Langtangen,Kent-Andre Mardal

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Introduction to Numerical Methods for Variational Problems

By: Hans Petter Langtangen,Kent-Andre Mardal

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405

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Springer Nature

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3030237885

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9783030237882

Solving PDEs in Python

The FEniCS Tutorial I

By: Hans Petter Langtangen,Anders Logg

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Solving PDEs in Python

The FEniCS Tutorial I

By: Hans Petter Langtangen,Anders Logg

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152

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Springer

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3319524623

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9783319524627

Advanced Topics in Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

By: Hans Petter Langtangen,Aslak Tveito

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Advanced Topics in Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

By: Hans Petter Langtangen,Aslak Tveito

A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.

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