Riemann Problems And Jupyter Solutions

Riemann Problems And Jupyter Solutions Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Riemann Problems And Jupyter Solutions book. This book definitely worth reading, it is an incredibly well-written.

Riemann Problems and Jupyter Solutions

David I. Ketcheson,Randall J. LeVeque ,Mauricio J. del Razo
Riemann Problems and Jupyter Solutions Book PDF

Author : David I. Ketcheson,Randall J. LeVeque ,Mauricio J. del Razo
Publisher : SIAM
Page : 178 pages
File Size : 50,8 Mb
Release : 2020-06-26
Category : Mathematics
ISBN : 9781611976212

Get Book

Riemann Problems and Jupyter Solutions by David I. Ketcheson,Randall J. LeVeque ,Mauricio J. del Razo Pdf

This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity. The solution of the Riemann problem captures essential information about these models and is the key ingredient in modern numerical methods for their solution. This book covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem. The emphasis is on the general ideas, but each chapter delves into a particular application. Riemann Problems and Jupyter Solutions is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations, allowing readers to grasp how the concepts presented are affected by important parameters and to experiment by varying those parameters themselves. The only interactive book focused entirely on the Riemann problem, it develops each concept in the context of a specific physical application, helping readers apply physical intuition in learning mathematical concepts. Graduate students and researchers working in the analysis and/or numerical solution of hyperbolic PDEs will find this book of interest. This includes mathematicians, as well as scientists and engineers, working on wave propagation problems. Educators interested in developing instructional materials using Jupyter notebooks will also find this book useful. The book is appropriate for courses in Numerical Methods for Hyperbolic PDEs and Analysis of Hyperbolic PDEs, and it can be a great supplement for courses in computational fluid dynamics, acoustics, and gas dynamics.

Encyclopedia of Geology

Anonim
Encyclopedia of Geology Book PDF

Author : Anonim
Publisher : Academic Press
Page : 5634 pages
File Size : 41,8 Mb
Release : 2020-12-16
Category : Science
ISBN : 9780081029091

Get Book

Encyclopedia of Geology by Anonim Pdf

Encyclopedia of Geology, Second Edition presents in six volumes state-of-the-art reviews on the various aspects of geologic research, all of which have moved on considerably since the writing of the first edition. New areas of discussion include extinctions, origins of life, plate tectonics and its influence on faunal provinces, new types of mineral and hydrocarbon deposits, new methods of dating rocks, and geological processes. Users will find this to be a fundamental resource for teachers and students of geology, as well as researchers and non-geology professionals seeking up-to-date reviews of geologic research. Provides a comprehensive and accessible one-stop shop for information on the subject of geology, explaining methodologies and technical jargon used in the field Highlights connections between geology and other physical and biological sciences, tackling research problems that span multiple fields Fills a critical gap of information in a field that has seen significant progress in past years Presents an ideal reference for a wide range of scientists in earth and environmental areas of study

Solving Nonlinear Equations with Iterative Methods

C. T. Kelley
Solving Nonlinear Equations with Iterative Methods Book PDF

Author : C. T. Kelley
Publisher : SIAM
Page : 201 pages
File Size : 46,7 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 9781611977271

Get Book

Solving Nonlinear Equations with Iterative Methods by C. T. Kelley Pdf

This user-oriented guide describes state-of-the-art methods for nonlinear equations and shows, via algorithms in pseudocode and Julia with several examples, how to choose an appropriate iterative method for a given problem and write an efficient solver or apply one written by others. A sequel to the author’s Solving Nonlinear Equations with Newton’s Methods (SIAM, 2003), this book contains new material on pseudo-transient continuation, mixed-precision solvers, and Anderson acceleration. It is supported by a Julia package and a suite of Jupyter notebooks and includes examples of nonlinear problems from many disciplines. This book is will be useful to researchers who solve nonlinear equations, students in numerical analysis, and the Julia community.

Iterative Methods and Preconditioners for Systems of Linear Equations

Gabriele Ciaramella,Martin J. Gander
Iterative Methods and Preconditioners for Systems of Linear Equations Book PDF

Author : Gabriele Ciaramella,Martin J. Gander
Publisher : SIAM
Page : 285 pages
File Size : 40,6 Mb
Release : 2022-02-08
Category : Mathematics
ISBN : 9781611976908

Get Book

Iterative Methods and Preconditioners for Systems of Linear Equations by Gabriele Ciaramella,Martin J. Gander Pdf

Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.

Location Estimation from the Ground Up

Sivan Toledo
Location Estimation from the Ground Up Book PDF

Author : Sivan Toledo
Publisher : SIAM
Page : 216 pages
File Size : 47,9 Mb
Release : 2020-09-17
Category : Technology & Engineering
ISBN : 9781611976298

Get Book

Location Estimation from the Ground Up by Sivan Toledo Pdf

The location of an object can often be determined from indirect measurements using a process called estimation. This book explains the mathematical formulation of location-estimation problems and the statistical properties of these mathematical models. It also presents algorithms that are used to resolve these models to obtain location estimates, including the simplest linear models, nonlinear models (location estimation using satellite navigation systems and estimation of the signal arrival time from those satellites), dynamical systems (estimation of an entire path taken by a vehicle), and models with integer ambiguities (GPS location estimation that is centimeter-level accurate). Location Estimation from the Ground Up clearly presents analytic and algorithmic topics not covered in other books, including simple algorithms for Kalman filtering and smoothing, the solution of separable nonlinear optimization problems, estimation with integer ambiguities, and the implicit-function approach to estimating covariance matrices when the estimator is a minimizer or maximizer. It takes a unified approach to estimation while highlighting the differences between classes of estimation problems. The only book on estimation written for math and computer science students and graduates, it includes problems at the end of each chapter, many with solutions, to help readers deepen their understanding of the material and guide them through small programming projects that apply theory and algorithms to the solution of real-world location-estimation problems. The book’s core audience consists of engineers, including software engineers and algorithm developers, and graduate students who work on location-estimation projects and who need help translating the theory into algorithms, code, and deep understanding of the problem in front of them. Instructors in mathematics, computer science, and engineering may also find the book of interest as a primary or supplementary text for courses in location estimation and navigation.

Computed Tomography

Per Christian Hansen,Jakob Jorgensen,William R. B. Lionheart
Computed Tomography Book PDF

Author : Per Christian Hansen,Jakob Jorgensen,William R. B. Lionheart
Publisher : SIAM
Page : 355 pages
File Size : 50,5 Mb
Release : 2021-09-25
Category : Mathematics
ISBN : 9781611976670

Get Book

Computed Tomography by Per Christian Hansen,Jakob Jorgensen,William R. B. Lionheart Pdf

This book describes fundamental computational methods for image reconstruction in computed tomography (CT) with a focus on a pedagogical presentation of these methods and their underlying concepts. Insights into the advantages, limitations, and theoretical and computational aspects of the methods are included, giving a balanced presentation that allows readers to understand and implement CT reconstruction algorithms. Unique in its emphasis on the interplay between modeling, computing, and algorithm development, Computed Tomography: Algorithms, Insight, and Just Enough Theory develops the mathematical and computational aspects of three main classes of reconstruction methods: classical filtered back-projection, algebraic iterative methods, and variational methods based on nonlinear numerical optimization algorithms. It spotlights the link between CT and numerical methods, which is rarely discussed in current literature, and describes the effects of incomplete data using both microlocal analysis and singular value decomposition (SVD). This book sets the stage for further exploration of CT algorithms. Readers will be able to grasp the underlying mathematical models to motivate and derive the basic principles of CT reconstruction and will gain basic understanding of fundamental computational challenges of CT, such as the influence of noisy and incomplete data, as well as the reconstruction capabilities and the convergence of the iterative algorithms. Exercises using MATLAB are included, allowing readers to experiment with the algorithms and making the book suitable for teaching and self-study. Computed Tomography: Algorithms, Insight, and Just Enough Theory is primarily aimed at students, researchers, and practitioners interested in the computational aspects of X-ray CT and is also relevant for anyone working with other forms of tomography, such as neutron and electron tomography, that share the same mathematical formulation. With its basis in lecture notes developed for a PhD course, it is appropriate as a textbook for courses on computational methods for X-ray CT and computational methods for inverse problems.

Efficient High-Order Discretizations for Computational Fluid Dynamics

Martin Kronbichler,Per-Olof Persson
Efficient High Order Discretizations for Computational Fluid Dynamics Book PDF

Author : Martin Kronbichler,Per-Olof Persson
Publisher : Springer Nature
Page : 314 pages
File Size : 53,9 Mb
Release : 2021-01-04
Category : Technology & Engineering
ISBN : 9783030606107

Get Book

Efficient High-Order Discretizations for Computational Fluid Dynamics by Martin Kronbichler,Per-Olof Persson Pdf

The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.

Introduction to Network Traffic Flow Theory

Wen-Long Jin
Introduction to Network Traffic Flow Theory Book PDF

Author : Wen-Long Jin
Publisher : Elsevier
Page : 282 pages
File Size : 46,6 Mb
Release : 2021-04-13
Category : Transportation
ISBN : 9780128158418

Get Book

Introduction to Network Traffic Flow Theory by Wen-Long Jin Pdf

Introduction to Network Traffic Flow Theory: Principles, Concepts, Models, and Methods provides a comprehensive introduction to modern theories for modeling, mathematical analysis and traffic simulations in road networks. The book breaks ground, addressing traffic flow theory in a network setting and providing researchers and transportation professionals with a better understanding of how network traffic flows behave, how congestion builds and dissipates, and how to develop strategies to alleviate network traffic congestion. The book also shows how network traffic flow theory is key to understanding traffic estimation, control, management and planning. Users wills find this to be a great resource on both theory and applications across a wide swath of subjects, including road networks and reduced traffic congestion. Covers the most theoretically and practically relevant network traffic flow theories Provides a systematic introduction to traditional and recently developed models, including cell transmission, link transmission, link queue, point queue, macroscopic and microscopic models, junction models and network stationary states Applies modern network traffic flow theory to real-world applications in modeling, analysis, estimation, control, management and planning

Computational Seismology

Heiner Igel
Computational Seismology Book PDF

Author : Heiner Igel
Publisher : Oxford University Press
Page : 340 pages
File Size : 55,5 Mb
Release : 2017
Category : Nature
ISBN : 9780198717409

Get Book

Computational Seismology by Heiner Igel Pdf

An introductory text to a range of numerical methods used today to simulate time-dependent processes in Earth science, physics, engineering and many other fields. It looks under the hood of current simulation technology and provides guidelines on what to look out for when carrying out sophisticated simulation tasks.

Python Programming and Numerical Methods

Qingkai Kong,Timmy Siauw,Alexandre Bayen
Python Programming and Numerical Methods Book PDF

Author : Qingkai Kong,Timmy Siauw,Alexandre Bayen
Publisher : Academic Press
Page : 482 pages
File Size : 41,7 Mb
Release : 2020-11-27
Category : Technology & Engineering
ISBN : 9780128195505

Get Book

Python Programming and Numerical Methods by Qingkai Kong,Timmy Siauw,Alexandre Bayen Pdf

Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings. Includes tips, warnings and "try this" features within each chapter to help the reader develop good programming practice Summaries at the end of each chapter allow for quick access to important information Includes code in Jupyter notebook format that can be directly run online

Python for Scientists

John M. Stewart
Python for Scientists Book PDF

Author : John M. Stewart
Publisher : Cambridge University Press
Page : 272 pages
File Size : 54,7 Mb
Release : 2017-07-20
Category : Computers
ISBN : 9781316641231

Get Book

Python for Scientists by John M. Stewart Pdf

Scientific Python is taught from scratch in this book via copious, downloadable, useful and adaptable code snippets. Everything the working scientist needs to know is covered, quickly providing researchers and research students with the skills to start using Python effectively.

Math for Programmers

Paul Orland
Math for Programmers Book PDF

Author : Paul Orland
Publisher : Manning Publications
Page : 686 pages
File Size : 55,7 Mb
Release : 2021-01-12
Category : Computers
ISBN : 9781617295355

Get Book

Math for Programmers by Paul Orland Pdf

In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks

Computational Mathematics with SageMath

P. Zimmermann,A. Casamayou,N. Cohen,G. Connan,T. Dumont,L. Fousse,F. Maltey,M. Meulien,M. Mezzarobba,C. Pernet,N. M. Thi?ry,E. Bray,J. Cremona,M. Forets,A. Ghitza,H. Thomas
Computational Mathematics with SageMath Book PDF

Author : P. Zimmermann,A. Casamayou,N. Cohen,G. Connan,T. Dumont,L. Fousse,F. Maltey,M. Meulien,M. Mezzarobba,C. Pernet,N. M. Thi?ry,E. Bray,J. Cremona,M. Forets,A. Ghitza,H. Thomas
Publisher : SIAM
Page : 459 pages
File Size : 50,9 Mb
Release : 2018-12-10
Category : Science
ISBN : 9781611975451

Get Book

Computational Mathematics with SageMath by P. Zimmermann,A. Casamayou,N. Cohen,G. Connan,T. Dumont,L. Fousse,F. Maltey,M. Meulien,M. Mezzarobba,C. Pernet,N. M. Thi?ry,E. Bray,J. Cremona,M. Forets,A. Ghitza,H. Thomas Pdf

This fantastic and deep book about how to use Sage for learning and doing mathematics at all levels perfectly complements the existing Sage documentation. It is filled with many carefully thought through examples and exercises, and great care has been taken to put computational functionality into proper mathematical context. Flip to almost any random page in this amazing book, and you will learn how to play with and visualize some beautiful part of mathematics. --- William A. Stein, CEO, SageMath, and professor of mathematics, University of Washington SageMath, or Sage for short, is an open-source mathematical software system based on the Python language and developed by an international community comprising hundreds of teachers and researchers, whose aim is to provide an alternative to the commercial products Magma, Maple, Mathematica, and MATLAB. To achieve this, Sage relies on many open-source programs, including GAP, Maxima, PARI, and various scientific libraries for Python, to which thousands of new functions have been added. Sage is freely available and is supported by all modern operating systems. Sage provides a wonderful scientific and graphical calculator for high school students, and it efficiently supports undergraduates in their computations in analysis, linear algebra, calculus, etc. For graduate students, researchers, and engineers in various mathematical specialties, Sage provides the most recent algorithms and tools, which is why several universities around the world already use Sage at the undergraduate level.

Shock Waves and Reaction—Diffusion Equations

Joel Smoller
Shock Waves and Reaction Diffusion Equations Book PDF

Author : Joel Smoller
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208730

Get Book

Shock Waves and Reaction—Diffusion Equations by Joel Smoller Pdf

For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final sec tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica ble to many interesting reaction-diffusion systems.

Analysis II

Terence Tao
Analysis II Book PDF

Author : Terence Tao
Publisher : Springer
Page : 220 pages
File Size : 43,9 Mb
Release : 2016-08-22
Category : Mathematics
ISBN : 9789811018046

Get Book

Analysis II by Terence Tao Pdf

This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.