Spline Collocation Methods for Partial Differential Equations

With Applications in R

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Spline Collocation Methods for Partial Differential Equations by William E. Schiesser, Wiley
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: William E. Schiesser ISBN: 9781119301042
Publisher: Wiley Publication: May 8, 2017
Imprint: Wiley Language: English
Author: William E. Schiesser
ISBN: 9781119301042
Publisher: Wiley
Publication: May 8, 2017
Imprint: Wiley
Language: English

A comprehensive approach to numerical partial differential equations

Spline Collocation Methods for Partial Differential Equations combines the collocation analysis of partial differential equations (PDEs) with the method of lines (MOL) in order to simplify the solution process. Using a series of example applications, the author delineates the main features of the approach in detail, including an established mathematical framework. The book also clearly demonstrates that spline collocation can offer a comprehensive method for numerical integration of PDEs when it is used with the MOL in which spatial (boundary value) derivatives are approximated with splines, including the boundary conditions.

R, an open-source scientific programming system, is used throughout for programming the PDEs and numerical algorithms, and each section of code is clearly explained. As a result, readers gain a complete picture of the model and its computer implementation without having to fill in the details of the numerical analysis, algorithms, or programming. The presentation is not heavily mathematical, and in place of theorems and proofs, detailed example applications are provided.

Appropriate for scientists, engineers, and applied mathematicians, Spline Collocation Methods for Partial Differential Equations:

  • Introduces numerical methods by first presenting basic examples followed by more complicated applications
  • Employs R to illustrate accurate and efficient solutions of the PDE models
  • Presents spline collocation as a comprehensive approach to the numerical integration of PDEs and an effective alternative to other, well established methods
  • Discusses how to reproduce and extend the presented numerical solutions
  • Identifies the use of selected algorithms, such as the solution of nonlinear equations and banded or sparse matrix processing
  • Features a companion website that provides the related R routines

Spline Collocation Methods for Partial Differential Equations is a valuable reference and/or self-study guide for academics, researchers, and practitioners in applied mathematics and engineering, as well as for advanced undergraduates and graduate-level students.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

A comprehensive approach to numerical partial differential equations

Spline Collocation Methods for Partial Differential Equations combines the collocation analysis of partial differential equations (PDEs) with the method of lines (MOL) in order to simplify the solution process. Using a series of example applications, the author delineates the main features of the approach in detail, including an established mathematical framework. The book also clearly demonstrates that spline collocation can offer a comprehensive method for numerical integration of PDEs when it is used with the MOL in which spatial (boundary value) derivatives are approximated with splines, including the boundary conditions.

R, an open-source scientific programming system, is used throughout for programming the PDEs and numerical algorithms, and each section of code is clearly explained. As a result, readers gain a complete picture of the model and its computer implementation without having to fill in the details of the numerical analysis, algorithms, or programming. The presentation is not heavily mathematical, and in place of theorems and proofs, detailed example applications are provided.

Appropriate for scientists, engineers, and applied mathematicians, Spline Collocation Methods for Partial Differential Equations:

Spline Collocation Methods for Partial Differential Equations is a valuable reference and/or self-study guide for academics, researchers, and practitioners in applied mathematics and engineering, as well as for advanced undergraduates and graduate-level students.

More books from Wiley

Cover of the book MacRoberts on Scottish Construction Contracts by William E. Schiesser
Cover of the book Plant Chemical Biology by William E. Schiesser
Cover of the book Scenarios by William E. Schiesser
Cover of the book Ethics in Social Networking and Business 1 by William E. Schiesser
Cover of the book The Complete Direct Investing Handbook by William E. Schiesser
Cover of the book Accounting For Dummies by William E. Schiesser
Cover of the book Three-Dimensional Imaging for Orthodontics and Maxillofacial Surgery by William E. Schiesser
Cover of the book Diagnostic Criteria Handbook in Histopathology by William E. Schiesser
Cover of the book Deploying and Managing a Cloud Infrastructure by William E. Schiesser
Cover of the book Citizenship for the Learning Society by William E. Schiesser
Cover of the book Nikon Creative Lighting System Digital Field Guide by William E. Schiesser
Cover of the book Lean Accounting by William E. Schiesser
Cover of the book Pinterest Marketing For Dummies by William E. Schiesser
Cover of the book Discrete Stochastic Processes and Optimal Filtering by William E. Schiesser
Cover of the book The Leader of the Future 2 by William E. Schiesser
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy