Topics in spectral methodsAfter detailing the construction of spectral approximations to time-dependent mixed initial boundary value problems, a study is conducted of differential equations of the form 'partial derivative of u/partial derivative of t = Lu + f', where for each t, u(t) belongs to a Hilbert space such that u satisfies homogeneous boundary conditions. For the sake of simplicity, it is assumed that L is an unbounded, time-independent linear operator. Attention is given to Fourier methods of both Galerkin and pseudospectral method types, the Galerkin method, the pseudospectral Chebyshev and Legendre methods, the error equation, hyperbolic partial differentiation equations, and time discretization and iterative methods.
Document ID
19860044735
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Gottlieb, D. (NASA Langley Research Center Hampton, VA, United States)
Turkel, E. (NASA Langley Research Center Hampton, VA; Tel Aviv University, Israel)