Solving Ordinary Differential Equations In Python
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Solving Ordinary Differential Equations In Python
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Author : Joakim Sundnes
language : en
Publisher: Springer Nature
Release Date : 2023-11-09
Solving Ordinary Differential Equations In Python written by Joakim Sundnes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-09 with Computers categories.
This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python.
Python For Chemists
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Author : Christian Hill
language : en
Publisher: Cambridge University Press
Release Date : 2023-10-26
Python For Chemists written by Christian Hill and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-26 with Science categories.
Accessible and self-contained guide to the programming language, Python, with a focus on applications in chemistry and chemical physics.
Programming For Computations Python
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Author : Svein Linge
language : en
Publisher: Springer
Release Date : 2016-07-25
Programming For Computations Python written by Svein Linge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Computers categories.
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.
Modelling Hydrology Hydraulics And Contaminant Transport Systems In Python
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Author : Soumendra Nath Kuiry
language : en
Publisher: CRC Press
Release Date : 2021-11-18
Modelling Hydrology Hydraulics And Contaminant Transport Systems In Python written by Soumendra Nath Kuiry and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-18 with Science categories.
This book covers theoretical aspects of the physical processes, derivation of the governing equations and their solutions. It focusses on hydraulics, hydrology, and contaminant transport, including implementation of computer codes with practical examples. Python-based computer codes for all the solution approaches are provided for better understanding and easy implementation. The mathematical models are demonstrated through applications and the results are analyzed through data tables, plots, and comparison with analytical and experimental data. The concepts are used to solve practical applications like surface and ground water flow, flood routing, crop water requirement and irrigation scheduling. Combines the area of computational hydraulics, hydrology, and water resources engineering with Python Gives deep description of the basic equations and the numerical solutions of both 1D and 2D problems including the numerical codes Includes step-by-step translation of numerical algorithms in computer codes with focus on learners and practitioners Demonstration of theory, mathematical models through practical applications Analysis of each example through data tables, plots, and correlation with reality This book is aimed at senior undergraduates and graduate students in Civil Engineering, Coastal Engineering, Hydrology, and Water Resources Engineering.
Introduction To Software For Chemical Engineers
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Author : Mariano Martín Martín
language : en
Publisher: CRC Press
Release Date : 2025-03-24
Introduction To Software For Chemical Engineers written by Mariano Martín Martín and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-24 with Computers categories.
The field of chemical engineering and its link to computer science is in constant evolution, and engineers have an ever-growing variety of tools at their disposal to tackle everyday problems. Introduction to Software for Chemical Engineers, Third Edition provides a quick guide to the use of various computer packages for chemical engineering applications. It covers a range of software applications, including Excel and general mathematical packages such as MATLAB®, MathCAD, R, and Python. Coverage also extends to process simulators such as CHEMCAD, HYSYS, and Aspen; equation-based modeling languages such as gPROMS; optimization software such as GAMS, AIMS, and Julia; and specialized software like CFD or DEM codes. The different packages are introduced and applied to solve typical problems in fluid mechanics, heat and mass transfer, mass and energy balances, unit operations, reactor engineering, and process and equipment design and control. This new edition is updated throughout to reflect software updates and new packages. It emphasizes the addition of SimaPro due to the importance of life cycle assessment, as well as general statistics software, SPSS, and Minitab that readers can use to analyze lab data. The book also includes new chapters on flowsheeting drawing, process control, and LOOP Pro, as well as updates to include Pyomo as an optimization platform, reflecting current trends. The text offers a global idea of the capabilities of the software used in the chemical engineering field and provides examples for solving real-world problems. Written by leading experts, this handbook is a must-have reference for chemical engineers looking to grow in their careers through the use of new and improving computer software. Its user-friendly approach to simulation and optimization, as well as its example-based presentation of the software, makes it a perfect teaching tool for both undergraduate- and graduate-level readers.
Applying Math With Python
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Author : Sam Morley
language : en
Publisher: Packt Publishing Ltd
Release Date : 2020-07-31
Applying Math With Python written by Sam Morley and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Computers categories.
Discover easy-to-follow solutions and techniques to help you to implement applied mathematical concepts such as probability, calculus, and equations using Python's numeric and scientific libraries Key FeaturesCompute complex mathematical problems using programming logic with the help of step-by-step recipesLearn how to utilize Python's libraries for computation, mathematical modeling, and statisticsDiscover simple yet effective techniques for solving mathematical equations and apply them in real-world statisticsBook Description Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science. What you will learnGet familiar with basic packages, tools, and libraries in Python for solving mathematical problemsExplore various techniques that will help you to solve computational mathematical problemsUnderstand the core concepts of applied mathematics and how you can apply them in computer scienceDiscover how to choose the most suitable package, tool, or technique to solve a certain problemImplement basic mathematical plotting, change plot styles, and add labels to the plots using MatplotlibGet to grips with probability theory with the Bayesian inference and Markov Chain Monte Carlo (MCMC) methodsWho this book is for This book is for professional programmers and students looking to solve mathematical problems computationally using Python. Advanced mathematics knowledge is not a requirement, but a basic knowledge of mathematics will help you to get the most out of this book. The book assumes familiarity with Python concepts of data structures.
Explorations In Numerical Analysis Python Edition
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Author : James V Lambers
language : en
Publisher: World Scientific
Release Date : 2021-01-14
Explorations In Numerical Analysis Python Edition written by James V Lambers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-14 with Mathematics categories.
This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.
Classical Mechanics
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Author : Christopher W. Kulp
language : en
Publisher: CRC Press
Release Date : 2020-11-16
Classical Mechanics written by Christopher W. Kulp and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-16 with Science categories.
Classical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation. Full of pedagogy, it contains both analytical and computational example problems within the body of each chapter. The example problems teach readers both analytical methods and how to use computer algebra systems and computer programming to solve problems in classical mechanics. End-of-chapter problems allow students to hone their skills in problem solving with and without the use of a computer. The methods presented in this book can then be used by students when solving problems in other fields both within and outside of physics. It is an ideal textbook for undergraduate students in physics, mathematics, and engineering studying classical mechanics. Features: Gives readers the "big picture" of classical mechanics and the importance of computation in the solution of problems in physics Numerous example problems using both analytical and computational methods, as well as explanations as to how and why specific techniques were used Online resources containing specific example codes to help students learn computational methods and write their own algorithms A solutions manual is available via the Routledge Instructor Hub and extra code is available via the Support Material tab
Introduction To Scientific Programming With Python
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Author : Pankaj Jayaraman
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Introduction To Scientific Programming With Python written by Pankaj Jayaraman and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Computers categories.
"Introduction to Scientific Programming with Python" offers an immersive exploration into the dynamic field of scientific programming using Python. We cater to a diverse audience, serving as an entry point for novices and a valuable resource for seasoned practitioners in scientific computing. Python's popularity in scientific circles stems from its readability, versatility, and extensive libraries for numerical computing, data analysis, and visualization. We cover fundamental programming concepts and gradually introduce advanced techniques specific to scientific applications. From mastering Python basics to exploring advanced topics like machine learning and symbolic mathematics, each chapter provides a structured and hands-on learning experience. Real-world case studies, practical examples, and exercises ensure readers grasp theoretical concepts and gain practical skills. Throughout the book, Python becomes a tool of empowerment, enabling readers to unravel complex scientific data, model intricate phenomena, and contribute meaningfully to their fields. "Introduction to Scientific Programming with Python" is an invaluable companion for harnessing Python's potential in scientific inquiry and discovery. By the end, readers will have a robust foundation in Python and the confidence to apply scientific programming methodologies to real-world problems. This book unlocks the door to a world where Python drives exploration, discovery, and innovation in science.
Statistics And Numerical Methods
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Author : Muppidi Maruthi , Dr. Vishal Mehta, Dr. Rajib Mandal, Dr. Jitendra Kumar
language : en
Publisher: RK Publication
Release Date : 2025-06-07
Statistics And Numerical Methods written by Muppidi Maruthi , Dr. Vishal Mehta, Dr. Rajib Mandal, Dr. Jitendra Kumar and has been published by RK Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-07 with Mathematics categories.
This book offers a comprehensive introduction to Statistics and Numerical Methods, covering key concepts in data analysis, probability, hypothesis testing, and computational techniques. Designed for students and professionals, it bridges theoretical foundations with practical applications, enabling effective problem-solving across engineering, science, and business disciplines.