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An introduction to scientific computing : twelve computational projects solved with MATLAB
- ISBN:038730889X
- Call Number : QA 297 .I585 2007
- Title:An introduction to scientific computing : twelve computational projects solved with MATLAB [electronic resource] / Ionut Danaila ... [et al.].
- Publisher:New York : Springer, 2007.
- Physical Description:xv, 294 p. : ill. ; 25 cm
- Notes:Includes bibliographical references and indexes
- Subject:MATLAB
- Subject:Numerical analysis -- Data processing.
- Added Entry:Danaila, Ionut.
- Cover Page
- ISBN 038730889X
- Title Page
- Preface
- Contents (with page links)
- 1 Numerical Approximation of Model Partial Differential Equations
- 2 Nonlinear Differential Equations: Application to Chemical Kinetics
- 3 Polynomial Approximation
- 4 Solving an Advection–Diffusion Equation by a Finite Element Method
- 5 Solving a Differential Equation by a Spectral Method
- 6 Signal Processing: Multiresolution Analysis
- 7 Elasticity: Elastic Deformation of a Thin Plate
- 8 Domain Decomposition Using a Schwarz Method
- 9 Geometrical Design: B´ezier Curves and Surfaces
- 10 Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem
- 11 Thermal Engineering: Optimization of an Industrial Furnace
- 12 Fluid Dynamics: Solving the Two-Dimensional Navier–Stokes Equations
- 12.1 Introduction
- 12.2 The Incompressible Navier–Stokes Equations
- 12.3 Numerical Algorithm
- 12.4 Computational Domain, Staggered Grids, and Boundary Conditions
- 12.5 Finite Difference Discretization
- 12.6 Flow Visualization
- 12.7 Initial Condition
- 12.8 Step-by-Step Implementation
- 12.9 Solutions and Programs
- Chapter References
- Bibliography
- Index (with page links)
- Index of Programs (with page links)