Raimund Bürger

Orcid: 0000-0001-9298-8981

According to our database1, Raimund Bürger authored at least 57 papers between 2002 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2025
Higher-order conservative discretizations on arbitrarily varying non-uniform grids.
Comput. Appl. Math., February, 2025

2023
An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations.
Comput. Appl. Math., March, 2023

A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux.
Networks Heterog. Media, 2023

Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors.
CoRR, 2023

2022
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows.
Networks Heterog. Media, 2022

A model of reactive settling of activated sludge: comparison with experimental data.
CoRR, 2022

A degenerating convection-diffusion system modelling froth flotation with drainage.
CoRR, 2022

2021
Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters.
Numerische Mathematik, 2021

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function.
Networks Heterog. Media, 2021

A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme.
CoRR, 2021

A moving-boundary model of reactive settling in wastewater treatment.
CoRR, 2021

Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis.
CoRR, 2021

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity.
Adv. Comput. Math., 2021

2020
An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy.
SIAM J. Sci. Comput., 2020

A Multilayer Shallow Water Approach for Polydisperse Sedimentation with Sediment Compressibility and Mixture Viscosity.
J. Sci. Comput., 2020

A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area.
CoRR, 2020

Numerical analysis of a three-species chemotaxis model.
Comput. Math. Appl., 2020

On approximate implicit Taylor methods for ordinary differential equations.
Comput. Appl. Math., 2020

2019
On H(div)-conforming Methods for Double-diffusion Equations in Porous Media.
SIAM J. Numer. Anal., 2019

WENO Reconstructions of Unconditionally Optimal High Order.
SIAM J. Numer. Anal., 2019

On the Efficient Computation of Smoothness Indicators for a Class of WENO Reconstructions.
J. Sci. Comput., 2019

Central WENO Schemes Through a Global Average Weight.
J. Sci. Comput., 2019

Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations.
J. Comput. Appl. Math., 2019

2018
Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption.
SIAM J. Sci. Comput., 2018

A random sampling method for a family of Temple-class systems of conservation laws.
Numerische Mathematik, 2018

A conservation law with multiply discontinuous flux modelling a flotation column.
Networks Heterog. Media, 2018

Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography.
Appl. Math. Comput., 2018

2017
Entropy Solutions of a Scalar Conservation Law Modeling Sedimentation in Vessels With Varying Cross-Sectional Area.
SIAM J. Appl. Math., 2017

Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model.
Math. Comput. Simul., 2017

Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws.
Comput. Math. Appl., 2017

2016
Discontinuous approximation of viscous two-phase flow in heterogeneous porous media.
J. Comput. Phys., 2016

Simulations of reactive settling of activated sludge with a reduced biokinetic model.
Comput. Chem. Eng., 2016

Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach.
Comput. Chem. Eng., 2016

2015
Linearly Implicit IMEX Runge-Kutta Methods for a Class of Degenerate Convection-Diffusion Problems.
SIAM J. Sci. Comput., 2015

Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation.
J. Comput. Phys., 2015

2013
Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models.
SIAM J. Sci. Comput., 2013

Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill-Whitham-Richards Traffic Model.
SIAM J. Sci. Comput., 2013

A multilayer shallow water system for polydisperse sedimentation.
J. Comput. Phys., 2013

2012
A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes.
SIAM J. Sci. Comput., 2012

On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment.
Comput. Chem. Eng., 2012

2011
On the implementation of WENO schemes for a class of polydisperse sedimentation models.
J. Comput. Phys., 2011

2010
Hyperbolicity Analysis of Polydisperse Sedimentation Models via a Secular Equation for the Flux Jacobian.
SIAM J. Appl. Math., 2010

Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units.
Numerische Mathematik, 2010

On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux.
Networks Heterog. Media, 2010

A finite volume scheme for cardiac propagation in media with isotropic conductivities.
Math. Comput. Simul., 2010

Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media.
J. Sci. Comput., 2010

2009
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections.
SIAM J. Numer. Anal., 2009

2008
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model.
Networks Heterog. Media, 2008

A kinematic model of continuous separation and classification of polydisperse suspensions.
Comput. Chem. Eng., 2008

2007
Adaptive multiresolution WENO schemes for multi-species kinematic flow models.
J. Comput. Phys., 2007

2006
Neumann Problems for Quasi-linear Parabolic Systems Modeling Polydisperse Suspensions.
SIAM J. Math. Anal., 2006

A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes.
Math. Comput., 2006

Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points.
Math. Comput. Model., 2006

2005
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units.
SIAM J. Appl. Math., 2005

2004
Well-posedness in <i>BV<sub>t</sub></i> and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units.
Numerische Mathematik, 2004

2003
Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression.
SIAM J. Appl. Math., 2003

2002
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., 2002


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