Article ID Journal Published Year Pages File Type
4967236 Journal of Computational Physics 2017 27 Pages PDF
Abstract
We present a numerical spectral method to solve systems of differential equations on an infinite interval y∈(−∞,∞) in presence of linear differential operators of the form Q(y)(∂/∂y)b (where Q(y) is a rational fraction and b a positive integer). Even when these operators are not parity-preserving, we demonstrate how a mixed expansion in interleaved Chebyshev rational functions TBn(y) and SBn(y) preserves the sparsity of their discretization. This paves the way for fast O(Nln⁡N) and spectrally accurate mixed implicit-explicit time-marching of sets of linear and nonlinear equations in unbounded geometries.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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