Raimund Bürger

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 38

Top Topics

Conservation Laws

Diffusion Equation

Top Venues

Networks Heterog. Media

J. Sci. Comput.

SIAM J. Sci. Comput.

Publications

Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
On the efficient computation of smoothness indicators for a class of WENO reconstructions. CoRR (2024)
Antonio Baeza, Raimund Bürger, María del Carmen Martí, Pep Mulet, David Zorío
On approximate implicit Taylor methods for ordinary differential equations. CoRR (2024)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
An efficient third-order WENO scheme with unconditionally optimal accuracy. CoRR (2024)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
WENO reconstructions of unconditionally optimal high order. CoRR (2024)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
Central WENO schemes through a global average weight. CoRR (2024)
Raimund Bürger, Julio Careaga, Stefan Diehl, Romel Pineda
Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors. CoRR (2023)
A. Arun Govind Neelan, R. Jishnu Chandran, Manuel A. Diaz, Raimund Bürger
An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations. Comput. Appl. Math. 42 (2) (2023)
Raimund Bürger, Harold Deivi Contreras, Luis Miguel Villada
A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. Networks Heterog. Media 18 (2) (2023)
Raimund Bürger, Julio Careaga, Stefan Diehl, Romel Pineda
A model of reactive settling of activated sludge: comparison with experimental data. CoRR (2022)
Raimund Bürger, Stefan Diehl, M. Carmen Martí, Yolanda Vásquez
A degenerating convection-diffusion system modelling froth flotation with drainage. CoRR (2022)
Raimund Bürger, Stefan Diehl, M. Carmen Martí, Yolanda Vásquez
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. Networks Heterog. Media 18 (1) (2022)
Graham Baird, Raimund Bürger, Paul E. Méndez, Ricardo Ruiz-Baier
Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters. Numerische Mathematik 147 (2) (2021)
Raimund Bürger, Arbaz Khan, Paul E. Méndez, Ricardo Ruiz-Baier
Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis. CoRR (2021)
Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier, Nitesh Verma
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Adv. Comput. Math. 47 (1) (2021)
Raimund Bürger, Julio Careaga, Stefan Diehl, Romel Pineda
A moving-boundary model of reactive settling in wastewater treatment. CoRR (2021)
Raimund Bürger, Christophe Chalons, Rafael Ordoñez, Luis Miguel Villada
A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Networks Heterog. Media 16 (2) (2021)
Raimund Bürger, Julio Careaga, Stefan Diehl, Romel Pineda
A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme. CoRR (2021)
Raimund Bürger, Enrique Domingo Fernández-Nieto, Víctor Osores
A Multilayer Shallow Water Approach for Polydisperse Sedimentation with Sediment Compressibility and Mixture Viscosity. J. Sci. Comput. 85 (2) (2020)
Raimund Bürger, Rafael Ordoñez, Mauricio Sepúlveda, Luis Miguel Villada
Numerical analysis of a three-species chemotaxis model. Comput. Math. Appl. 80 (1) (2020)
Antonio Baeza, Raimund Bürger, María Carmen Martí, Pep Mulet, David Zorío
On approximate implicit Taylor methods for ordinary differential equations. Comput. Appl. Math. 39 (4) (2020)
Raimund Bürger, Julio Careaga, Stefan Diehl
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. CoRR (2020)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy. SIAM J. Sci. Comput. 42 (2) (2020)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
Central WENO Schemes Through a Global Average Weight. J. Sci. Comput. 78 (1) (2019)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
On the Efficient Computation of Smoothness Indicators for a Class of WENO Reconstructions. J. Sci. Comput. 80 (2) (2019)
Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier, Nitesh Verma
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. CoRR (2019)
Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío
WENO Reconstructions of Unconditionally Optimal High Order. SIAM J. Numer. Anal. 57 (6) (2019)
Raimund Bürger, Ilja Kröker
Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations. J. Comput. Appl. Math. 348 (2019)
Raimund Bürger, Paul E. Méndez, Ricardo Ruiz-Baier
On H(div)-conforming Methods for Double-diffusion Equations in Porous Media. SIAM J. Numer. Anal. 57 (3) (2019)
Raimund Bürger, Kenettinkara Sudarshan Kumar, Ricardo Ruiz-Baier, Héctor Torres
Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption. SIAM J. Sci. Comput. 40 (2) (2018)
Raimund Bürger, Pep Mulet, Lihki Rubio, Mauricio Sepúlveda
Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography. Appl. Math. Comput. 317 (2018)
Fernando Betancourt, Raimund Bürger, Christophe Chalons, Stefan Diehl, Sebastian Farås
A random sampling method for a family of Temple-class systems of conservation laws. Numerische Mathematik 138 (1) (2018)
Raimund Bürger, Stefan Diehl, María Carmen Martí
A conservation law with multiply discontinuous flux modelling a flotation column. Networks Heterog. Media 13 (2) (2018)
Raimund Bürger, Julio Careaga, Stefan Diehl
Entropy Solutions of a Scalar Conservation Law Modeling Sedimentation in Vessels With Varying Cross-Sectional Area. SIAM J. Appl. Math. 77 (2) (2017)
Raimund Bürger, Ricardo Ruiz-Baier, Canrong Tian
Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model. Math. Comput. Simul. 132 (2017)
Raimund Bürger, Kenettinkara Sudarshan Kumar, David Zorío
Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Comput. Math. Appl. 74 (6) (2017)
Raimund Bürger, Sarvesh Kumar, Kenettinkara Sudarshan Kumar, Ricardo Ruiz-Baier
Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. J. Comput. Phys. 321 (2016)
Andrea Barth, Raimund Bürger, Ilja Kröker, Christian Rohde
Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach. Comput. Chem. Eng. 89 (2016)
Raimund Bürger, Julio Careaga, Stefan Diehl, Camilo Mejías, Ingmar Nopens, Elena Torfs, Peter A. Vanrolleghem
Simulations of reactive settling of activated sludge with a reduced biokinetic model. Comput. Chem. Eng. 92 (2016)
Sebastiano Boscarino, Raimund Bürger, Pep Mulet, Giovanni Russo, Luis Miguel Villada
Linearly Implicit IMEX Runge-Kutta Methods for a Class of Degenerate Convection-Diffusion Problems. SIAM J. Sci. Comput. 37 (2) (2015)
Raimund Bürger, Sarvesh Kumar, Ricardo Ruiz-Baier
Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. J. Comput. Phys. 299 (2015)
Enrique Domingo Fernández-Nieto, E. H. Koné, Tomás Morales de Luna, Raimund Bürger
A multilayer shallow water system for polydisperse sedimentation. J. Comput. Phys. 238 (2013)
Raimund Bürger, Pep Mulet, Luis Miguel Villada
Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models. SIAM J. Sci. Comput. 35 (3) (2013)
Raimund Bürger, Christophe Chalons, Luis Miguel Villada
Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill-Whitham-Richards Traffic Model. SIAM J. Sci. Comput. 35 (6) (2013)
Raimund Bürger, Ricardo Ruiz-Baier, Héctor Torres
A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes. SIAM J. Sci. Comput. 34 (3) (2012)
Raimund Bürger, Stefan Diehl, Sebastian Farås, Ingmar Nopens
On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment. Comput. Chem. Eng. 41 (2012)
Raimund Bürger, Rosa Donat, Pep Mulet, Carlos A. Vega
On the implementation of WENO schemes for a class of polydisperse sedimentation models. J. Comput. Phys. 230 (6) (2011)
Raimund Bürger, Rosa Donat, Pep Mulet, Carlos A. Vega
Hyperbolicity Analysis of Polydisperse Sedimentation Models via a Secular Equation for the Flux Jacobian. SIAM J. Appl. Math. 70 (7) (2010)
Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz-Baier
A finite volume scheme for cardiac propagation in media with isotropic conductivities. Math. Comput. Simul. 80 (9) (2010)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Networks Heterog. Media 5 (3) (2010)
Raimund Bürger, Ricardo Ruiz-Baier, Kai Schneider
Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media. J. Sci. Comput. 43 (2) (2010)
Raimund Bürger, Kenneth H. Karlsen, Héctor Torres, John D. Towers
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik 116 (4) (2010)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections. SIAM J. Numer. Anal. 47 (3) (2009)
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Networks Heterog. Media 3 (1) (2008)
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
A kinematic model of continuous separation and classification of polydisperse suspensions. Comput. Chem. Eng. 32 (6) (2008)
Raimund Bürger, Alice J. Kozakevicius
Adaptive multiresolution WENO schemes for multi-species kinematic flow models. J. Comput. Phys. 224 (2) (2007)
Raimund Bürger, Fernando Concha, Kenneth H. Karlsen, Ariel Narváez
Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. Math. Comput. Model. 44 (3-4) (2006)
Stefan Berres, Raimund Bürger, Hermano Frid
Neumann Problems for Quasi-linear Parabolic Systems Modeling Polydisperse Suspensions. SIAM J. Math. Anal. 38 (2) (2006)
Raimund Bürger, Aníbal Coronel, Mauricio Sepúlveda
A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes. Math. Comput. 75 (253) (2006)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units. SIAM J. Appl. Math. 65 (3) (2005)
Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers
and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Numerische Mathematik 97 (1) (2004)
Elmer M. Tory, Kenneth H. Karlsen, Raimund Bürger, Stefan Berres
Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression. SIAM J. Appl. Math. 64 (1) (2003)
Raimund Bürger, Hermano Frid, Kenneth H. Karlsen
On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration. SIAM J. Math. Anal. 34 (3) (2002)