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Orszag, Steven A.

Comparison of pseudospectral and spectral approximation. (English) Zbl 0282.65083

Studies appl. Math. 51, 253-259 (1972).
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Cited in 51 Documents

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65N99 Numerical methods for partial differential equations, boundary value problems
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References:

[1] Fox, Pseudospectral approximation to two-dimensional turbulence (1972)
[2] Orszag, Numerical simulation of incompressible flows within simple boundaries. I. Galerkin (spectral) representations, Stud. in Appl. Math. 50 pp 293– (1971) · Zbl 0237.76012 · doi:10.1002/sapm1971504293
[3] Cooley, An algorithm for the machine computation of complex Fourier series, Math. Comp. 19 pp 297– (1965) · Zbl 0127.09002 · doi:10.1090/S0025-5718-1965-0178586-1
[4] Orszag, Numerical simulation of incompressible flows within simple boundaries: accuracy, J. Fluid Mech. 49 pp 75– (1971) · Zbl 0229.76029 · doi:10.1017/S0022112071001940
[5] Phillips, The Atmosphere and the Sea in Motion pp 501– (1959)
[6] Orszag, Galerkin approximations to flows within slabs, spheres, and cylinders, Phys. Rev. Letters 49 pp 1100– (1971) · doi:10.1103/PhysRevLett.26.1100
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