32 citations · 119 across the 6 of their papers we have counts for
6 papers
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…
A note on some bounds between cubic spline interpolants depending on the boundary conditions: Application to a monotonicity property
Antonio Baeza, Dionisio F. Yáñez
In the context of cubic splines, the authors have contributed to a recent paper dealing with the computation of nonlinear derivatives at the interior nodes so that monotonicity is…