Data-Driven Modeling & Scientific Computation

Data-Driven Modeling & Scientific Computation
Author: J. Nathan Kutz
Publisher: Oxford University Press
Total Pages: 657
Release: 2013-08-08
Genre: Computers
ISBN: 0199660336
GET BOOK

Download Data-Driven Modeling & Scientific Computation Book in PDF, Epub and Kindle

Combining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.

Data-Driven Science and Engineering

Data-Driven Science and Engineering
Author: Steven L. Brunton
Publisher: Cambridge University Press
Total Pages: 615
Release: 2022-05-05
Genre: Computers
ISBN: 1009098489
GET BOOK

Download Data-Driven Science and Engineering Book in PDF, Epub and Kindle

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Modeling with Data

Modeling with Data
Author: Ben Klemens
Publisher: Princeton University Press
Total Pages: 471
Release: 2008-10-06
Genre: Mathematics
ISBN: 1400828740
GET BOOK

Download Modeling with Data Book in PDF, Epub and Kindle

Modeling with Data fully explains how to execute computationally intensive analyses on very large data sets, showing readers how to determine the best methods for solving a variety of different problems, how to create and debug statistical models, and how to run an analysis and evaluate the results. Ben Klemens introduces a set of open and unlimited tools, and uses them to demonstrate data management, analysis, and simulation techniques essential for dealing with large data sets and computationally intensive procedures. He then demonstrates how to easily apply these tools to the many threads of statistical technique, including classical, Bayesian, maximum likelihood, and Monte Carlo methods. Klemens's accessible survey describes these models in a unified and nontraditional manner, providing alternative ways of looking at statistical concepts that often befuddle students. The book includes nearly one hundred sample programs of all kinds. Links to these programs will be available on this page at a later date. Modeling with Data will interest anyone looking for a comprehensive guide to these powerful statistical tools, including researchers and graduate students in the social sciences, biology, engineering, economics, and applied mathematics.

Data-Driven Computational Methods

Data-Driven Computational Methods
Author: John Harlim
Publisher: Cambridge University Press
Total Pages: 171
Release: 2018-07-12
Genre: Computers
ISBN: 1108472478
GET BOOK

Download Data-Driven Computational Methods Book in PDF, Epub and Kindle

Describes computational methods for parametric and nonparametric modeling of stochastic dynamics. Aimed at graduate students, and suitable for self-study.

Dynamic Mode Decomposition

Dynamic Mode Decomposition
Author: J. Nathan Kutz
Publisher: SIAM
Total Pages: 241
Release: 2016-11-23
Genre: Science
ISBN: 1611974496
GET BOOK

Download Dynamic Mode Decomposition Book in PDF, Epub and Kindle

Data-driven dynamical systems is a burgeoning field?it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.

Fundamentals of Scientific Computing

Fundamentals of Scientific Computing
Author: Bertil Gustafsson
Publisher: Springer Science & Business Media
Total Pages: 317
Release: 2011-06-11
Genre: Mathematics
ISBN: 3642194958
GET BOOK

Download Fundamentals of Scientific Computing Book in PDF, Epub and Kindle

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

Introduction to Computational Science

Introduction to Computational Science
Author: Angela B. Shiflet
Publisher: Princeton University Press
Total Pages: 857
Release: 2014-03-30
Genre: Computers
ISBN: 140085055X
GET BOOK

Download Introduction to Computational Science Book in PDF, Epub and Kindle

The essential introduction to computational science—now fully updated and expanded Computational science is an exciting new field at the intersection of the sciences, computer science, and mathematics because much scientific investigation now involves computing as well as theory and experiment. This textbook provides students with a versatile and accessible introduction to the subject. It assumes only a background in high school algebra, enables instructors to follow tailored pathways through the material, and is the only textbook of its kind designed specifically for an introductory course in the computational science and engineering curriculum. While the text itself is generic, an accompanying website offers tutorials and files in a variety of software packages. This fully updated and expanded edition features two new chapters on agent-based simulations and modeling with matrices, ten new project modules, and an additional module on diffusion. Besides increased treatment of high-performance computing and its applications, the book also includes additional quick review questions with answers, exercises, and individual and team projects. The only introductory textbook of its kind—now fully updated and expanded Features two new chapters on agent-based simulations and modeling with matrices Increased coverage of high-performance computing and its applications Includes additional modules, review questions, exercises, and projects An online instructor's manual with exercise answers, selected project solutions, and a test bank and solutions (available only to professors) An online illustration package is available to professors

Parallel Scientific Computation

Parallel Scientific Computation
Author: Rob H. Bisseling
Publisher: Oxford University Press, USA
Total Pages: 410
Release: 2020-09-30
Genre: Computers
ISBN: 0198788347
GET BOOK

Download Parallel Scientific Computation Book in PDF, Epub and Kindle

Parallel Scientific Computation presents a methodology for designing parallel algorithms and writing parallel computer programs for modern computer architectures with multiple processors.

Verification and Validation in Scientific Computing

Verification and Validation in Scientific Computing
Author: William L. Oberkampf
Publisher: Cambridge University Press
Total Pages: 782
Release: 2010-10-14
Genre: Computers
ISBN: 1139491768
GET BOOK

Download Verification and Validation in Scientific Computing Book in PDF, Epub and Kindle

Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.

Scientific Computing

Scientific Computing
Author: Michael T. Heath
Publisher: SIAM
Total Pages: 567
Release: 2018-11-14
Genre: Science
ISBN: 1611975573
GET BOOK

Download Scientific Computing Book in PDF, Epub and Kindle

This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.