Padé–Jacobi Filtering for Spectral Approximations of Discontinuous Solutions

Handbook of Mathematical Functions

Milton Abramowitz, I. A. Stegun · 1972 · 15.4K citations

Natural Sciences, Mathematics, Differential Equations +10

Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws

Yvon Maday, Sidi Mahmoud Kaber, Eitan Tadmor · SIAM Journal on Numerical Analysis · 1993 · 165 citations · Full text

Natural Sciences, Computational Engineering, Physics +16

A Padé-based algorithm for overcoming the Gibbs phenomenon

Tobin A. Driscoll, Bengt Fornberg · Numerical Algorithms · 2001 · 120 citations

Computing, Computer Science, Algorithms +8

On the Gibbs phenomenon V: recovering exponential accuracy from collocation point values of a piecewise analytic function

David Gottlieb, Chi‐Wang Shu · Numerische Mathematik · 1995 · 78 citations

Computing, Computational Engineering, Computational Physics +12

On the rate of convergence of Fourier-Legendre series of functions of bounded variation

R. Bojanić, Monique Vuilleumier · Journal of Approximation Theory · 1981 · 59 citations

Natural Sciences, Literature, Probability Theory +11