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Spectral Methods
p01: Convergence of fourth order finite differences
p02: Convergence of periodic spectral method
p03: Band-limited interpolation
p04: Periodic spectral differentiation
p05: Repetition of p04 via FFT
p05b: Repetition of p05 via real FFT
p05c: Repetition of p05 using scipy.fftpack.diff
p06: Variable coefficient wave equation
Variable coefficient acoustics equation
p07: Accuracy of periodic spectral differentiation
p08: Eigenvalues of harmonic oscillator
p09: Polynomial interpolation in equispaced and chebyshev points
p10: Polynomials and corresponding equipotential curves
p11: Chebyshev differentiation of a smooth function
p12: Accuracy of Chebyshev spectral differentiation
p13: Solve linear BVP
p14: Solve nonlinear BVP
p15: Solve eigenvalue BVP
p16: Poisson equation in 2-D
p17: Helmholtz Equation in 2-D
p18: Chebyshev differentiation via FFT
p19: Second order Wave Equation on Chebyshev Grid
p20: Second order wave equation in 2-D via FFT
p21: Eigenvalues of Mathieu operator
p22: 5’th eigenvector of Airy equation
p23: Eigenvalues of Laplacian in 2-D
p23a: Eigenvalues of perturbed Laplacian in 2-D
p24: Pseudospectra of Davies’s complex harmonic oscillator
p25: Stability regions for ODE formulas
p26: Eigenvalues of 2nd order Chebyshev diff. matrix
p27: Solve KdV equation
Burgers equation using FFT
Eigenvalues of Chebyshev differentiation matrix
p30: Spectral integration, ODE style
p32: Solve linear BVP
p33: Solve linear BVP, Neumann bc
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