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Title
An introduction to scientific computing : fifteen computational projects solved with MATLAB / Ionut Danaila, Pascal Joly, Sidi Mahmoud Kaber, Marie Postel.
Edition
Second edition.
ISBN
9783031350320 (electronic bk.)
3031350324 (electronic bk.)
9783031350313
3031350316
Published
Cham : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xviii, 373 pages) : illustrations (chiefly color)
Other Standard Identifiers
10.1007/978-3-031-35032-0 doi
Call Number
QA297
Dewey Decimal Classification
510.285/53
Summary
This book provides fifteen computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods and wavelets. The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers. The second edition builds upon its earlier material (revised and updated) with three all-new chapters intended to reinforce the presentation of mathematical aspects on numerical methods: Fourier approximation, high-order finite difference methods, and basic tools for numerical optimization. Corresponding new applications and programs concern spectral Fourier methods to solve ordinary differential equations, finite difference methods up to sixth-order to solve boundary value problems and, finally, optimization strategies to fit parameters of an epidemiological model.
Note
Includes indexes.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 17, 2023).
Available in Other Form
Print version: 9783031350313
Numerical Approximation of Model Partial Differential Equations
Nonlinear Differential Equations: Application to Chemical Kinetics
Polynomial Approximation
Solving an Advection-Diffusion Equation by a Finite Element Method
Solving a Differential Equation by a Spectral Method
Signal Processing: Multiresolution Analysis
Elasticity: Elastic Deformation of a Thin Plate
Domain Decomposition Using a Schwarz Method
Geometrical Design: Bzier Curves and Surfaces
Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem
Thermal Engineering: Optimization of an Industrial Furnace
Fluid Dynamics: Solving the Two-Dimensional Navier-Stokes Equations.
