32 citations · 230 across the 18 of their papers we have counts for
19 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…
Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors
Raimund Bürger, Julio Careaga, Stefan Diehl +1
Sequencing batch reactors (SBRs) are devices widely used in wastewater treatment, chemical engineering, and other areas. They allow for the sedimentation and compression of solid p…
A model of reactive settling of activated sludge: comparison with experimental data
Raimund Bürger, Julio Careaga, Stefan Diehl +1
A non-negligible part of the biological reactions in the activated sludge process for treatment of wastewater takes place in secondary settling tanks that follow biological reactor…
A degenerating convection-diffusion system modelling froth flotation with drainage
Raimund Bürger, Stefan Diehl, M. Carmen Martí +1
Froth flotation is a common unit operation used in mineral processing. It serves to separate valuable mineral particles from worthless gangue particles in finely ground ores. The v…
A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme
Raimund Bürger, Julio Careaga, Stefan Diehl +1
A numerical scheme is proposed for the simulation of reactive settling in sequencing batch reactors (SBRs) in wastewater treatment plants. Reactive settling is the process of sedim…
A moving-boundary model of reactive settling in wastewater treatment. Part 1: Governing equations
Raimund Bürger, Julio Careaga, Stefan Diehl +1
Reactive settling is the process of sedimentation of small solid particles in a fluid with simultaneous reactions between the components of the solid and liquid phases. This proces…
Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis
Raimund Bürger, Arbaz Khan, Paul E. Méndez +1
The analysis of the double-diffusion model and -conforming method introduced in [Bürger, Méndez, Ruiz-Baier, SINUM (2019), 57:1318--1343] is extended to t…
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area
Raimund Bürger, Julio Careaga, Stefan Diehl
Reactive settling denotes the process of sedimentation of small solid particles dispersed in a viscous fluid with simultaneous reactions between the components that constitute the…
A strongly degenerate parabolic aggregation equation
Fernando Betancourt, Raimund Bürger, Kenneth H. Karlsen
This paper is concerned with a strongly degenerate convection-diffusion equation in one space dimension whose convective flux involves a non-linear function of the total mass to on…
Un metodo adaptativo para el modelo Bidominio en electrocardiologia
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz Baier
This paper presents a finite-volume method, together with fully adaptive multi-resolution scheme to obtain spatial adaptation, and a Runge-Kutta-Fehlberg scheme with a local time-v…
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
Mostafa Bendahmane, Raimund Brger, Ricardo Ruiz Baier +1
This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fash…
Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz Baier +1
We present a fully adaptive multiresolution scheme for spatially two-dimensional, possibly degenerate reaction-diffusion systems, focusing on combustion models and models of patter…
A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz Baier
This work deals with the numerical solution of the monodomain and bidomain models of electrical activity of myocardial tissue. The bidomain model is a system consisting of a possib…
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
Raimund Bürger, Ricardo Ruiz Baier, Mauricio Sepúlveda +1
A fully adaptive finite volume multiresolution scheme for one-dimensional strongly degenerate parabolic equations with discontinuous flux is presented. The numerical scheme is base…
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
Raimund Bürger, Ricardo Ruiz Baier, Mauricio Sepúlveda +1
We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions…