Gegenbauer Approximation and Its Applications to Differential Equations on the Whole Line

Approximation results for orthogonal polynomials in Sobolev spaces

Claudio Canuto, Alfio Quarteroni · Mathematics of Computation · 1982 · 474 citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +16

Numerical Solutions of Partial Differential Equations.

R. Noye · Mathematics of Computation · 1983 · 252 citations

Natural Sciences, Mathematics, Physics +14

Spectral methods using rational basis functions on an infinite interval

John P. Boyd · Journal of Computational Physics · 1987 · 231 citations

Natural Sciences, Computational Engineering, Spectroscopy +10

Error estimation of Hermite spectral method for nonlinear partial differential equations

Ben‐yu Guo · Mathematics of Computation · 1999 · 148 citations · Full text

Computing, Physics, Computational Mechanics +14

Approximation of some diffusion evolution equations in unbounded domains by Hermite functions

Daniele Funaro, Otared Kavian · Mathematics of Computation · 1991 · 140 citations · Full text

Engineering, Physics, Computational Heat Transfer +15