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Papers in Scientific Journals

The following is the list of publications in scientific journals of the Center for Research in Mathematical Engineering, ordered by year of occurrence, since 2009, date of creation of this center. When you click on the name of a certain author, all their publications available in this database are displayed together with a link to their list of publications in the AMS MathScinet database.

Publications of Raimund BÜRGER

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NumberAuthors, Title and Details
2018-02

Raimund BÜRGER, Pep MULET, Lihki RUBIO, Mauricio SEPÚLVEDA: Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography. Applied Mathematics and Computation, vol. 317, pp. 172-186, (2018)

2018-01

Raimund BÜRGER, Gerardo CHOWELL, Elvis GAVILÁN, Pep MULET, Luis M. VILLADA: Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. Mathematical Biosciences and Engineering, vol. 15, pp. 95-123, (2018).

2017-29

Raimund BÜRGER, Sudarshan K. KENETTINKARA, David ZORÍO: Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Computers & Mathematics with Applications, vol. 74, 6, pp. 1288-1310, (2017)

2017-17

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ, Pep MULET, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Numerical solution of a multi-class model for batch settling in water resource recovery facilities. Applied Mathematical Modelling, vol. 49, pp. 415-436, (2017).

2017-16

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL: Entropy solutions of a scalar conservation law modelling sedimentation in vessels with varying cross-sectional area. SIAM Journal on Applied Mathematics, vol. 77, 2, pp. 789-811, (2017).

2017-08

Sophie BALEMANS, Raimund BÜRGER, Stefan DIEHL, Pierre FRANCOIS, Julien LAURENT, Florent LOCATELLI, María Carmen MARTÍ, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Concentration-driven models revisited: Towards a unified framework to model settling tanks in water resource recovery facilities. Water Science and Technology, vol. 75, 3, pp. 539-551, (2017).

2017-04

Sophie BALEMANS, Raimund BÜRGER, Stefan DIEHL, Pierre FRANCOIS, Julien LAURENT, Florent LOCATELLI, Ingmar NOPENS, Elena TORFS: On constitutive functions for hindered settling velocity in 1-D settler models: selection of appropriate model structure. Water Research, vol. 110, 1, pp. 38-47, (2017).

2017-01

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. Mathematics and Computers in Simulation, vol. 132, pp. 28-52, (2017).

2016-31

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Camilo MEJÍAS, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Simulations of reactive settling of activated sludge with a reduced biokinetic model. Computers & Chemical Engineering, vol. 92, pp. 216-229, (2016).

2016-30

Raimund BÜRGER, Sudarshan K. KENETTINKARA, Sarvesh KUMAR, Ricardo RUIZ-BAIER: Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. Journal of Computational Physics, vol. 321, pp. 126-150, (2016).

2016-27

Raimund BÜRGER, Pep MULET, Lihki RUBIO: Polynomial viscosity methods for multispecies kinematic flow models. Numerical Methods for Partial Differential Equations, vol. 32, 4, pp. 1265-1288, (2016).

2016-26

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation. Numerical Methods for Partial Differential Equations, vol. 32, 4, pp. 1109-1136, (2016).

2016-19

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. Computers & Chemical Engineering, vol. 89, pp. 11-26, (2016).

2016-18

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 187-200, (2016).

2016-17

Sebastiano BOSCARINO, Raimund BÜRGER, Pep MULET, Giovanni RUSSO, Luis M. VILLADA: On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 171-185, (2016).

2016-16

Raimund BÜRGER, Stefan DIEHL, Camilo MEJÍAS: On time discretizations for the simulation of the batch settling-compression process in one dimension. Water Science and Technology, vol. 73, 5, pp. 1010-1017, (2016).

2016-02

Raimund BÜRGER, Gerardo CHOWELL, Pep MULET, Luis M. VILLADA: Modelling the spatial-temporal evolution of the 2009 A/H1N1 influenza pandemic in Chile. Mathematical Biosciences and Engineering, vol. 13, 1, pp. 43-65, (2016).

2015-23

Carlos D. ACOSTA, Raimund BÜRGER, Carlos E. MEJIA: Efficient parameter estimation in a macroscopic traffic flow model by discrete mollification. Transportmetrica A: Transport Science, vol. 11, 8, pp. 702-715, (2015).

2015-17

Raimund BÜRGER, Sarvesh KUMAR, Ricardo RUIZ-BAIER: Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. Journal of Computational Physics, vol. 299, pp. 446-471, (2015).

2015-12

Raimund BÜRGER, Stefan DIEHL, Thomas MAERE, Ingmar NOPENS, Elena TORFS: Impact on sludge inventory and control strategies using the Benchmark Simulation Model No. 1 with the Bürger-Diehl settler model. Water Science and Technology, vol. 71, 10, pp. 1524-1535, (2015).

2015-08

Sebastiano BOSCARINO, Raimund BÜRGER, Pep MULET, Giovanni RUSSO, Luis M. VILLADA: Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems. SIAM Journal on Scientific Computing, vol. 37, no. 2, pp. B305-B331, (2015).

2014-25

Raimund BÜRGER, Ilja KRÖKER, Christian ROHDE: A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 94, 10, pp. 793-817, (2014).

2014-15

Fernando BETANCOURT, Raimund BÜRGER, Stefan DIEHL, Camilo MEJÍAS: Advance methods of flux identification for Clarifier-Thickener simulation models. Minerals Engineering, vol. 63, pp. 2-15, (2014).

2014-14

Fernando BETANCOURT, Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS: Modelling and controlling clarifier-thickeners fed by suspensions with time-dependent properties. Minerals Engineering, vol. 62, pp. 91-101, (2014).

2014-13

Carlos D. ACOSTA, Raimund BÜRGER, Carlos E. MEJIA: A stability and sensitivity analysis of parametric functions in a sedimentation model. Dyna, vol. 81, 183, pp. 22-30, (2014).

2013-28

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Anti-diffusive and random-sampling Lagrangian-remap schemes for the multi-class Lighthill-Whitham-Richards traffic model. SIAM Journal on Scientific Computing, vol. 35, 6, pp. 1341-1368, (2013)

2013-23

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Advances in Applied Mathematics and Mechanics, vol. 5, 5, pp. 728-758, (2013) .

2013-20

Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS, Elena TORFS: A consistent modelling methodology for secondary settling tanks: A reliable numerical method. Water Science and Technology, vol. 68, 1, pp. 192-208, (2013).

2013-19

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multi-species kinematic flow models. SIAM Journal on Scientific Computing, 35 (3), pp. B751-B777, (2013).

2013-14

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 93, 6-7, pp. 373-386, (2013).

2013-09

Raimund BÜRGER, Stefan DIEHL: Convexity-preserving flux identification for scalar conservation laws modelling sedimentation. Inverse Problems, vol. 29, 4, pp. 045008, (2013).

2013-05

Raimund BÜRGER, Enrique FERNÁNDEZ NIETO, El Hadji KONÉ, Tomás MORALES DE LUNA: A multilayer shallow water system for polydisperse sedimentation. Journal of Computational Physics, vol. 238, pp. 281-314, (2013).

2012-28

Carlos D. ACOSTA, Raimund BÜRGER: Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions. IMA Journal of Numerical Analysis, vol. 32, 4, pp. 1509-1540, (2012).

2012-19

Raimund BÜRGER, Ricardo RUIZ-BAIER, Hector TORRES: A stabilized finite volume element formulation for sedimentation-consolidation processes. SIAM Journal on Scientific Computing, vol. 34, 3, pp. B265-B289, (2012).

2012-15

Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS: On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment. Computers and Chemical Engineering, vol. 41, pp. 93-105, (2012).

2012-13

Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS, Elena TORFS: A reliable numerical method for secondary settling modelling. Communications in Agricultural and Applied Biological Sciences, vol. 77, 1, pp. 151-156, (2012).

2012-12

Raimund BÜRGER, Rosa DONAT, Pep MULET, Carlos A. VEGA: On the hyperbolicity of certain models of polydisperse sedimentation. Mathematical Methods in the Applied Sciences, vol. 35, 6, pp. 723-744, (2012).

2012-08

Raimund BÜRGER, Ricardo RUIZ-BAIER, Kai SCHNEIDER, Hector TORRES: A multiresolution method for the simulation of sedimentation in inclined channels. International Journal of Numerical Analysis and Modeling, vol. 9, 3, pp. 479-504, (2012).

2012-02

Carlos D. ACOSTA, Raimund BÜRGER, Carlos E. MEJIA: Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations. Numerical Methods for Partial Differential Equations, vol. 28, 1, pp. 38-62, (2012).

2011-11

Fernando BETANCOURT, Raimund BÜRGER, Kenneth H. KARLSEN: A strongly degenerate parabolic aggregation equation. Communications in Mathematical Sciences, vol. 9, 3, pp. 711-742, (2011).

2011-10

Raimund BÜRGER, Stefan DIEHL, Ingmar NOPENS: A consistent modelling methodology for secondary settling tanks in wastewater treatment. Water Research, vol. 45, 6, pp. 2247-2260, (2011).

2011-07

Fernando BETANCOURT, Raimund BÜRGER, Kenneth H. KARLSEN, Elmer M. TORY: On nonlocal conservation laws modelling sedimentation. Nonlinearity, vol. 24, 3, pp. 855-885, (2011).

2011-04

Raimund BÜRGER, Rosa DONAT, Pep MULET, Carlos A. VEGA: On the implementation of WENO schemes for a class of polydisperse sedimentation models. Journal of Computational Physics, vol. 230, 6, pp. 2322-2344, (2011).

2010-23

Raimund BÜRGER, Kenneth H. KARLSEN, Hector TORRES, John D. TOWERS: Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik, vol. 116, 4, pp. 579-617, (2010)

2010-22

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER: A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. Numerical Methods for Partial Differential Equations, vol. 26, 6, pp. 1377-1404, (2010)

2010-15

Stefan BERRES, Raimund BÜRGER, Rodrigo GARCES: Centrifugal settling of flocculated suspensions: A sensitivity analysis of parametric model functions. Drying Technology, vol. 28, no. 7, pp. 858-870, (2010)

2010-14

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 and Heterogeneous Media, vol. 5, no. 3, pp. 461-485, (2010)

2010-08

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER: A finite volume scheme for cardiac propagation in media with isotropic conductivities. Mathematics and Computers in Simulation, vol. 80, 9, pp. 1821-1840, (2010)

2010-05

Raimund BÜRGER, Rosa DONAT, Pep MULET, Carlos A. VEGA: Hyperbolicity analysis of polydisperse sedimentation models via a secular equation for the flux Jacobian. SIAM Journal on Applied Mathematics, vol. 70, 7, pp. 2186-2213, (2010)

2010-04

Raimund BÜRGER, Ricardo RUIZ-BAIER, Kai SCHNEIDER: Adaptive multiresolution methods for the simulation of waves in excitable media. Journal of Scientific Computing, vol. 43, 2, pp. 261-290, (2010)

2009-28

Raimund BÜRGER, Aníbal CORONEL, Mauricio SEPÚLVEDA: Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation. Proceedings of Symposia in Applied Mathematics, vol. 67, 2, 445-454, (2009)

2009-27

Raimund BÜRGER, Kenneth H. KARLSEN, John D. TOWERS: A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Proceedings of Symposia in Applied Mathematics, vol. 67, 2, pp. 455-464, (2009)

2009-21

Stefan BERRES, Raimund BÜRGER, Alice KOZAKEVICIUS: Numerical approximation of oscillatory solutions of hyperbolic-elliptic systems of conservation laws by multiresolution schemes. Advances in Applied Mathematics and Mechanics, vol. 1, 5, pp. 581-614, (2009)

2009-18

Raimund BÜRGER, Ricardo RUIZ-BAIER: Multiresolution simulation of reaction-diffusion systems with strong degeneracy. Boletin de la Sociedad Espagnola de Matematica Aplicada, vol. 47, pp. 73-80, (2009)

2009-16

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER, Jose M. URBANO: On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding. Mathematical Methods in the Applied Sciences, vol. 32, 13, pp. 1704-1737. (2009)

2009-09

Raimund BÜRGER, Kenneth H. KARLSEN, John D. TOWERS: An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. SIAM Journal on Numerical Analysis, vol. 47, 3, pp. 1684-1712, (2009)

2009-08

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER, Kai SCHNEIDER: Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. Applied Numerical Mathematics, vol. 59, 7, pp. 1668-1692, (2009)

2009-01

David K. BASSON, Stefan BERRES, Raimund BÜRGER: On models of polydisperse sedimentation with particle-size-specific hindered-settling factors. Applied Mathematical Modelling, vol. 33, pp. 1815-1835, (2009)

 

 

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