Questions tagged [pseudospectral]

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Where is the issue in my nonlinear PDE solver using pseudo-spectral methods with Chebyshev collocation?

This is a repost from another community, I think the question would be better here. This bug has been haunting me for a while and would love new pair of eyes to help, not sure if this is the right ...
Jamie 's user avatar
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3 votes
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What is the correct way to implement Neumann type boundary conditions for solving a PDE using Chebyshev's collocation method?

I am studying spectral methods for solving PDEs numerically. I finished a chapter that explains how to use Chebyshev's collocation method to solve them. Though the explanation in the book is quite ...
Amilox Lex's user avatar
2 votes
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Literature request covering Chebyshev's pseudospectral collocation method

I would like to request some literature recommendations covering Chebyshev's pseudospectral collocation method for solving space-time PDEs. It would be nice if it even contained some example problems ...
Nikola Ristic's user avatar
4 votes
2 answers

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 ...
Octavius's user avatar
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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 ...
yourds's user avatar
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1 vote
1 answer

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?
user1048419's user avatar
1 vote
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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 ...
physics_researcher's user avatar