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2540 results in Computational Science

Page 37 of 127

  • 1 - Singular Value Decomposition (SVD)

  • from Part I - Dimensionality Reduction and Transforms
  • Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
  • Book:
    Data-Driven Science and Engineering
    Published online:
    15 February 2019
    Print publication:
    28 February 2019, pp 3-46
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Data-Driven Science and Engineering
  • Machine Learning, Dynamical Systems, and Control
  • Steven L. Brunton, J. Nathan Kutz
  • Published online:
    15 February 2019
    Print publication:
    28 February 2019
  • Data-driven discovery is revolutionizing the modeling, prediction, and control of complex systems. This textbook brings together machine learning, engineering mathematics, and mathematical physics to integrate modeling and control of dynamical systems with modern methods in data science. It highlights many of the recent advances in scientific computing that enable data-driven methods to be applied to a diverse range of complex systems, such as turbulence, the brain, climate, epidemiology, finance, robotics, and autonomy. Aimed at advanced undergraduate and beginning graduate students in the engineering and physical sciences, the text presents a range of topics and methods from introductory to state of the art.

Mathematical Modelling and Simulation in Chemical Engineering
  • M. Chidambaram
  • Published online:
    23 October 2018
    Print publication:
    06 December 2017
  • Written in a clear, logical and concise manner, this comprehensive resource provides discussion on essential mathematical tools, required for upgraded system performance. Understanding of basic principles and governing laws is essential to reduce complexity of the system, and this guide offers detailed discussion on analytical and numerical techniques to solve mathematical model equations. Important concepts including nonlinear algebraic equations, initial value ordinary differential equations (ODEs) and boundary value ODEs are discussed in detail. The concepts of optimization methods and sensitivity analysis, which are important from subject point of view, are explained with suitable examples. Numerous problems and MATLAB®/Scilab exercises are interspersed throughout the text. Several case studies involving full details of simulation are offered for better understanding. The accompanying website will host additional MATLAB®/Scilab problems, model question papers, simulation exercises, tutorials and projects. This book will be useful for students of chemical engineering, mechanical engineering, instrumentation engineering and mathematics.

  • Chapter 1 - Approximation of Univariate Functions

  • V. Temlyakov, University of South Carolina
  • Book:
    Multivariate Approximation
    Published online:
    06 July 2018
    Print publication:
    19 July 2018, pp 1-35
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Page 37 of 127