An Introduction to Scientific Computing : Twelve Computational Projects Solved with MATLAB /
Contributor(s): Danaila, Ionut [editor.1] | Joly, Pascal [editor.1] | Kaber, Sidi Mahmoud [editor.1] | Postel, Marie [editor.2] | SpringerLink (Online service)0.
Material type:
BookPublisher: New York, NY : Springer New York, 2007.Description: XVI, 294 p. 135 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387491592.Subject(s): Mathematics | Applied mathematics | Engineering mathematics | Computer mathematics | Numerical analysis | Physics | Computational intelligence.1 | Mathematics.2 | Applications of Mathematics.2 | Computational Mathematics and Numerical Analysis.2 | Computational Intelligence.2 | Theoretical, Mathematical and Computational Physics.2 | Numerical Analysis.1DDC classification: 519 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK9175 |
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: B�zier 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.
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 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 the subject of 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.
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