An Introduction to Scientific Computing Twelve Computational Projects Solved with MATLAB /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Danaila, Ionut (Editor), Joly, Pascal (Editor), Kaber, Sidi Mahmoud (Editor), Postel, Marie (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical analysis.; Physics.; Computational intelligence.; Applications of Mathematics.; Computational Mathematics and Numerical Analysis.; Computational Intelligence.; Theoretical, Mathematical and Computational Physics.; Numerical Analysis.

This book provides twelve 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 s...

Table of Contents:

• 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: Bézier 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.