18.336 Numerical Methods of Applied Mathematics II, Spring 2004

Koev, Plamen S.

Author(s)

Koev, Plamen S.

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Alternative title

Numerical Methods of Applied Mathematics II

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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.

Date issued

2004-06

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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Mathematics (18) - Archived