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18.336 Numerical Methods of Applied Mathematics II, Spring 2004

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18.336 Numerical Methods of Applied Mathematics II, Spring 2004

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Alternative Title: Numerical Methods of Applied Mathematics II
Author: Koev, Plamen S.
Date Issued: 2004-06
Abstract:
Advanced introduction to applications and theory of numerical methods for solution of differential equations, especially of physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods. Topics include finite differences, spectral methods, finite elements, well-posedness and stability, particle methods and lattice gases, boundary and nonlinear instabilities.
URI: http://hdl.handle.net/1721.1/36900
Other Identifiers: 18.336-Spring2004
local: 18.336
local: IMSCP-MD5-1d0b43bd6b361622371d93bccdf74c6a
Keywords: Linear systems, Fast Fourier Transform, Wave equation, Von Neumann analysis, Conditions for stability, Dissipation, Multistep schemes, Dispersion, Group Velocity, Propagation of Wave Packets, Parabolic Equations, The Du Fort Frankel Scheme, Convection-Diffusion equation, ADI Methods, Elliptic Equations, Jacobi, Gauss-Seidel and SOR(w), ODEs, finite differences, spectral methods, well-posedness and stability, boundary and nonlinear instabilities, Finite Difference Schemes, Partial Differential Equations

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