58 citations · 255 across the 23 of their papers we have counts for
8 papers · 1 filter
Efficient WENO schemes for nonuniform grids
M. C. Martí, P. Mulet, D. F. Yáñez +1
A set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a li…
A non-separable progressive multivariate WENO- point value
Pep Mulet, Juan Ruiz-Alvarez, Chi-Wang Shu +1
The weighted essentially non-oscillatory {technique} using a stencil of points (WENO-) is an interpolatory method that consists in obtaining a higher approximation order f…
Implicit-explicit schemes for compressible Cahn-Hilliard-Navier-Stokes equations
Pep Mulet
The isentropic compressible Cahn-Hilliard-Navier-Stokes equations is a system of fourth-order partial differential equations that model the evolution of some binary fluids under co…
An efficient third-order WENO scheme with unconditionally optimal accuracy
Antonio Baeza, Raimund Bürger, Pep Mulet +1
A novel scheme, based on third-order Weighted Essentially Non-Oscillatory (WENO) reconstructions, is presented. It attains unconditionally optimal accuracy when the data is smooth…
WENO reconstructions of unconditionally optimal high order
Antonio Baeza, Raimund Bürger, Pep Mulet +1
A modified Weighted Essentially Non-Oscillatory (WENO) reconstruction technique preventing accuracy loss near critical points (regardless of their order) of the underlying data is…
On the efficient computation of smoothness indicators for a class of WENO reconstructions
Antonio Baeza, Raimund Bürger, Pep Mulet +1
Common smoothness indicators used in Weighted Essentially Non\--Os\-cil\-la\-to\-ry (WENO) reconstructions [Jiang, G.S., Shu, C.W.: Efficient implementation of {Weighted} {ENO} sch…
Central WENO schemes through a global average weight
Antonio Baeza, Raimund Bürger, Pep Mulet +1
A novel central weighted essentially non-oscillatory (central WENO; CWENO)-type scheme for the construction of high-resolution approximations to discontinuous solutions to hyperbol…
On approximate implicit Taylor methods for ordinary differential equations
Antonio Baeza, Raimund Bürger, María del Carmen Martí +2
An efficient approximate version of implicit Taylor methods for initial-value problems of systems of ordinary differential equations (ODEs) is introduced. The approach, based on an…