58 citations · 251 across the 15 of their papers we have counts for
15 papers
High Order in Space and Time Schemes Through an Approximate Lax-Wendroff Procedure
Antonio Baeza, Pep Mulet, David Zorío
This paper deals with the scheme proposed by the authors in Zorío, Baeza and Mulet (J Sci Comput 71(1):246-273, 2017). This scheme is an alternative to the techniques proposed in Q…
High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles
Antonio Baeza, Pep Mulet, David Zorío
Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary…
Approximate Taylor methods for ODEs
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than…
An Approximate Lax-Wendroff-Type Procedure for High Order Accurate Schemes for Hyperbolic Conservation Laws
David Zorío, Antonio Baeza, Pep Mulet
A high order time stepping applied to spatial discretizations provided by the method of lines for hyperbolic conservations laws is presented. This procedure is related to the one p…
High Order Weighted Extrapolation for Boundary Conditions for Finite Difference Methods on Complex Domains with Cartesian Meshes
Antonio Baeza, Pep Mulet, David Zorío
The design of numerical boundary conditions is a challenging problem that has been tackled in different ways depending on the nature of the problem and the numerical scheme used to…
High Order Boundary Extrapolation Technique for Finite Difference Methods on Complex Domains with Cartesian Meshes
Antonio Baeza, Pep Mulet, David Zorío
The application of suitable numerical boundary conditions for hyperbolic conservation laws on domains with complex geometry has become a problem with certain difficulty that has be…
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…
Monotone cubic spline interpolation for functions with a strong gradient
Francesc Aràndiga, Antonio Baeza, Dionisio F. Yáñez
Spline interpolation has been used in several applications due to its favorable properties regarding smoothness and accuracy of the interpolant. However, when there exists a discon…
On the stability of Approximate Taylor methods for ODE and their relationship with Runge-Kutta schemes
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
In [Baeza et al., Computers and Fluids, 159, 156--166 (2017)] a new method for the numerical solution of ODEs is presented. This methods can be regarded as an approximate formulati…
The maximal order of semidiscrete schemes for quasilinear first order partial differential equations
A. Baeza, P. Mulet, D. Zorío
We prove that a semidiscrete -point scheme for quasilinear first order PDE cannot attain an order higher than . Moreover, if the forward Euler fully discrete scheme obt…