An Introduction to Scientific Computing : Fifteen Computational Projects Solved with MATLAB [2 ed.] 9783031350320, 9783031350313

This book demonstrates scientific computing by presenting twelve computational projects spanning a broad spectrum of dis

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English Pages 379 Year 2023

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Table of contents :
Cover
Front Matter
1. Numerical Approximation of Model Partial Differential Equations
2. Nonlinear Differential Equations: Application to Chemical Kinetics
3. Fourier Approximation
4. Polynomial Approximation
5. Solving an Advection–Diffusion Equation by a Finite Element Method
6. Solving a Differential Equation by a Legendre Spectral Method
7. High-order finite difference methods
8. Signal Processing: Multiresolution Analysis
9. Elasticity: Elastic Deformation of a Thin Plate
10. Domain Decomposition Using a Schwarz Method
11. Geometrical Design: Bézier Curves and Surfaces
12. Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem
13. Optimization Applied to Model Fitting
14. Thermal Engineering: Optimization of an Industrial Furnace
15. Fluid Dynamics: Solving the 2D Navier–Stokes Equations
Back Matter

An Introduction to Scientific Computing : Fifteen Computational Projects Solved with MATLAB [2 ed.]
 9783031350320, 9783031350313

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