On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration. - Raimund Bürger; Hermano Frid; Kenneth H. Karlsen (SIAM J. Math. Anal., 2002)

Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression. - Elmer M. Tory; Kenneth H. Karlsen; Raimund Bürger; Stefan Berres (SIAM J. Appl. Math., 2003)

Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. - Raimund Bürger; Kenneth H. Karlsen; Nils Henrik Risebro; John D. Towers (Numerische Mathematik, 2004)

A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units. - Raimund Bürger; Kenneth H. Karlsen; John D. Towers (SIAM J. Appl. Math., 2005)

Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points. - Raimund Bürger; Fernando Concha; Kenneth H. Karlsen; Ariel Narváez (Math. Comput. Model., 2006)

A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes. - Raimund Bürger; Aníbal Coronel; Mauricio Sepúlveda (Math. Comput., 2006)

Neumann Problems for Quasi-linear Parabolic Systems Modeling Polydisperse Suspensions. - Stefan Berres; Raimund Bürger; Hermano Frid (SIAM J. Math. Anal., 2006)

Adaptive multiresolution WENO schemes for multi-species kinematic flow models. - Raimund Bürger; Alice J. Kozakevicius (J. Comput. Phys., 2007)

A kinematic model of continuous separation and classification of polydisperse suspensions. - Raimund Bürger; Antonio García; Kenneth H. Karlsen; John D. Towers (Comput. Chem. Eng., 2008)

Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. - Raimund Bürger; Antonio García; Kenneth H. Karlsen; John D. Towers (Networks Heterog. Media, 2008)

An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections. - Raimund Bürger; Kenneth H. Karlsen; John D. Towers (SIAM J. Numer. Anal., 2009)

Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media. - Raimund Bürger; Ricardo Ruiz-Baier; Kai Schneider (J. Sci. Comput., 2010)

A finite volume scheme for cardiac propagation in media with isotropic conductivities. - Mostafa Bendahmane; Raimund Bürger; Ricardo Ruiz-Baier (Math. Comput. Simul., 2010)

On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. - Raimund Bürger; Kenneth H. Karlsen; John D. Towers (Networks Heterog. Media, 2010)

Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. - Raimund Bürger; Kenneth H. Karlsen; Héctor Torres; John D. Towers (Numerische Mathematik, 2010)

Hyperbolicity Analysis of Polydisperse Sedimentation Models via a Secular Equation for the Flux Jacobian. - Raimund Bürger; Rosa Donat; Pep Mulet; Carlos A. Vega (SIAM J. Appl. Math., 2010)

On the implementation of WENO schemes for a class of polydisperse sedimentation models. - Raimund Bürger; Rosa Donat; Pep Mulet; Carlos A. Vega (J. Comput. Phys., 2011)

On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment. - Raimund Bürger; Stefan Diehl 001; Sebastian Farås; Ingmar Nopens (Comput. Chem. Eng., 2012)

A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes. - Raimund Bürger; Ricardo Ruiz-Baier; Héctor Torres (SIAM J. Sci. Comput., 2012)

A multilayer shallow water system for polydisperse sedimentation. - Enrique Domingo Fernández-Nieto; E. H. Koné; Tomás Morales de Luna; Raimund Bürger (J. Comput. Phys., 2013)

Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill-Whitham-Richards Traffic Model. - Raimund Bürger; Christophe Chalons; Luis Miguel Villada (SIAM J. Sci. Comput., 2013)

Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models. - Raimund Bürger; Pep Mulet; Luis Miguel Villada (SIAM J. Sci. Comput., 2013)

Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. - Raimund Bürger; Sarvesh Kumar; Ricardo Ruiz-Baier (J. Comput. Phys., 2015)

Linearly Implicit IMEX Runge-Kutta Methods for a Class of Degenerate Convection-Diffusion Problems. - Sebastiano Boscarino; Raimund Bürger; Pep Mulet; Giovanni Russo 001; Luis Miguel Villada (SIAM J. Sci. Comput., 2015)

Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach. - Andrea Barth; Raimund Bürger; Ilja Kröker; Christian Rohde (Comput. Chem. Eng., 2016)

Simulations of reactive settling of activated sludge with a reduced biokinetic model. - Raimund Bürger; Julio Careaga; Stefan Diehl 001; Camilo Mejías; Ingmar Nopens; Elena Torfs; Peter A. Vanrolleghem (Comput. Chem. Eng., 2016)

Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. - Raimund Bürger; Sarvesh Kumar; Kenettinkara Sudarshan Kumar; Ricardo Ruiz-Baier (J. Comput. Phys., 2016)

Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. - Raimund Bürger; Kenettinkara Sudarshan Kumar; David Zorío (Comput. Math. Appl., 2017)

Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model. - Raimund Bürger; Ricardo Ruiz-Baier; Canrong Tian (Math. Comput. Simul., 2017)

Entropy Solutions of a Scalar Conservation Law Modeling Sedimentation in Vessels With Varying Cross-Sectional Area. - Raimund Bürger; Julio Careaga; Stefan Diehl 001 (SIAM J. Appl. Math., 2017)

Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography. - Raimund Bürger; Pep Mulet; Lihki Rubio; Mauricio Sepúlveda (Appl. Math. Comput., 2018)

A conservation law with multiply discontinuous flux modelling a flotation column. - Raimund Bürger; Stefan Diehl 001; María Carmen Martí (Networks Heterog. Media, 2018)

A random sampling method for a family of Temple-class systems of conservation laws. - Fernando Betancourt; Raimund Bürger; Christophe Chalons; Stefan Diehl 001; Sebastian Farås (Numerische Mathematik, 2018)

Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption. - Raimund Bürger; Kenettinkara Sudarshan Kumar; Ricardo Ruiz-Baier; Héctor Torres (SIAM J. Sci. Comput., 2018)

Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations. - Raimund Bürger; Ilja Kröker (J. Comput. Appl. Math., 2019)

Central WENO Schemes Through a Global Average Weight. - Antonio Baeza; Raimund Bürger; Pep Mulet; David Zorío (J. Sci. Comput., 2019)

On the Efficient Computation of Smoothness Indicators for a Class of WENO Reconstructions. - Antonio Baeza; Raimund Bürger; Pep Mulet; David Zorío (J. Sci. Comput., 2019)

WENO Reconstructions of Unconditionally Optimal High Order. - Antonio Baeza; Raimund Bürger; Pep Mulet; David Zorío (SIAM J. Numer. Anal., 2019)

On H(div)-conforming Methods for Double-diffusion Equations in Porous Media. - Raimund Bürger; Paul E. Méndez 001; Ricardo Ruiz-Baier (SIAM J. Numer. Anal., 2019)

On approximate implicit Taylor methods for ordinary differential equations. - Antonio Baeza; Raimund Bürger; María Carmen Martí; Pep Mulet; David Zorío (Comput. Appl. Math., 2020)

Numerical analysis of a three-species chemotaxis model. - Raimund Bürger; Rafael Ordoñez; Mauricio Sepúlveda; Luis Miguel Villada (Comput. Math. Appl., 2020)

A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. - Raimund Bürger; Julio Careaga; Stefan Diehl 001 (CoRR, 2020)

A Multilayer Shallow Water Approach for Polydisperse Sedimentation with Sediment Compressibility and Mixture Viscosity. - Raimund Bürger; Enrique Domingo Fernández-Nieto; Víctor Osores (J. Sci. Comput., 2020)

An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy. - Antonio Baeza; Raimund Bürger; Pep Mulet; David Zorío (SIAM J. Sci. Comput., 2020)

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. - Raimund Bürger; Sarvesh Kumar; David Mora; Ricardo Ruiz-Baier; Nitesh Verma (Adv. Comput. Math., 2021)

Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis. - Raimund Bürger; Arbaz Khan; Paul E. Méndez 001; Ricardo Ruiz-Baier (CoRR, 2021)

A moving-boundary model of reactive settling in wastewater treatment. - Raimund Bürger; Julio Careaga; Stefan Diehl 001; Romel Pineda (CoRR, 2021)

A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme. - Raimund Bürger; Julio Careaga; Stefan Diehl 001; Romel Pineda (CoRR, 2021)

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. - Raimund Bürger; Christophe Chalons; Rafael Ordoñez; Luis Miguel Villada (Networks Heterog. Media, 2021)

Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters. - Graham Baird; Raimund Bürger; Paul E. Méndez 001; Ricardo Ruiz-Baier (Numerische Mathematik, 2021)

A degenerating convection-diffusion system modelling froth flotation with drainage. - Raimund Bürger; Stefan Diehl 001; M. Carmen Martí; Yolanda Vásquez (CoRR, 2022)

A model of reactive settling of activated sludge: comparison with experimental data. - Raimund Bürger; Julio Careaga; Stefan Diehl 001; Romel Pineda (CoRR, 2022)

A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. - Raimund Bürger; Stefan Diehl 001; M. Carmen Martí; Yolanda Vásquez (Networks Heterog. Media, 2022)

Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors. - Raimund Bürger; Julio Careaga; Stefan Diehl 001; Romel Pineda (CoRR, 2023)

A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. - Raimund Bürger; Harold Deivi Contreras; Luis Miguel Villada (Networks Heterog. Media, 2023)

An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations. - A. Arun Govind Neelan; R. Jishnu Chandran; Manuel A. Diaz; Raimund Bürger (Comput. Appl. Math., 2023)

Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models. - Juan Barajas-Calonge; Raimund Bürger; Pep Mulet; Luis Miguel Villada (J. Comput. Phys., 2025)

Higher-order conservative discretizations on arbitrarily varying non-uniform grids. - A. Arun Govind Neelan; Raimund Bürger; Manoj T. Nair; Samala Rathan (Comput. Appl. Math., 2025)