Questions tagged [pseudospectral]
The pseudospectral tag has no usage guidance.
4
questions
4
votes
2
answers
267
views
Chebyshev/Lagrange polynomials in spectral methods
I am currently trying to familiarise myself with (Pseudo-)Spectral Methods for solving differential equations. Now, I am struggling to understand some obviously crucial concept of this approach. The ...
- 185
0
votes
0
answers
58
views
schrodinger eq time propagation with dissipation using split step operator
I am looking in ways to include energy dissipation while propagating a coherent wavepacket in a 1d TDSE. for example I use the split step method: exp[Δt(D+V)]≈exp[ΔtV/2]exp[ΔtD]exp[ΔtV/2], and ...
- 121
1
vote
1
answer
200
views
Spectral method in Dirichlet boundaries
I want to solve Navier-Stokes eq with Dirichlet boundaries using a pseudospectral method.
All of the references I encountered used Chebychev transform to do this. But why can’t you use sine transform?
- 41
1
vote
0
answers
93
views
Well-conditioned pseudospectral for computing eigenvalues to (partial) differential equations
I am working on writing a Chebyshev pseudospectral method (see for example "Chebsyhev and Fourier spectral methods" by John Boyd) to solve for the eigenvalues of differential equations of ...
