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Numerical Methods for Initial Value Problems in Physics (1st ed. 2023)
Loot Price: R2,808
Discovery Miles 28 080
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Numerical Methods for Initial Value Problems in Physics (1st ed. 2023)
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Total price: R2,828
Discovery Miles: 28 280
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This textbook is a comprehensive overview of the construction,
implementation, and application of important numerical methods for
the solution of Initial Value Problems (IVPs). Beginning with IVPs
involving Ordinary Differential Equations (ODEs) and progressing to
problems with Partial Differential Equations (PDEs) in 1+1 and 3+1
dimensions, it provides readers with a clear and systematic
progression from simple to complex concepts. The numerical methods
selected in this textbook can solve a considerable variety of
problems and the applications presented cover a wide range of
topics, including population dynamics, chaos, celestial mechanics,
geophysics, astrophysics, and more. Each chapter contains a variety
of solved problems and exercises, with code included. These
examples are designed to motivate and inspire readers to delve
deeper into the state-of-the-art problems in their own fields. The
code is written in Fortran 90, in a library-free style, making them
easy to program and efficient to run. The appendix also includes
the same code in C++, making the book accessible to a variety of
programming backgrounds. At the end of each chapter, there are
brief descriptions of how the methods could be improved, along with
one or two projects that can be developed with the methods and
codes described. These projects are highly engaging, from
synchronization of chaos and message encryption to gravitational
waves emitted by a binary system and non-linear absorption of a
scalar field. With its clear explanations, hands-on approach, and
practical examples, this textbook is an essential resource for
advanced undergraduate and graduate students who want to the learn
how to use numerical methods to tackle challenging problems.
General
Imprint: |
Springer International Publishing AG
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Country of origin: |
Switzerland |
Release date: |
August 2023 |
First published: |
2023 |
Authors: |
Francisco S. Guzmán
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Dimensions: |
235 x 155mm (L x W) |
Pages: |
357 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-133555-6 |
Categories: |
Books
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LSN: |
3-03-133555-4 |
Barcode: |
9783031335556 |
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