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Ricardo Ruiz Baier


Mathematical Institute, University of Oxford
Office S2.34, Andrew Wiles Building
Radcliffe Observatory Quarter, Woodstock Road
OX2 6GG Oxford, United Kingdom
E-mail: ruizbaier@maths.ox.ac.uk, phone: +44 1865 615168


PUBLICATIONS


Under review (submitted preprints)

Under review (submitted preprints)

[6] S. Kumar, R. Ruiz Baier, and R. Sandilya
Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media.
2017. [ http ]
[5] G. N. Gatica, B. Gomez-Vargas, and R. Ruiz Baier
Mixed-primal finite element formulations for stress-assisted diffusion problems.
2017. [ http ]
[4] V. Anaya, Z. De Wijn, D. Mora, and R. Ruiz Baier
Mixed displacement-rotation-pressure formulations for elasticity.
2017. [ http ]
[3] V. Anaya, D. Mora, C. Reales, and R. Ruiz Baier
A vorticity-pressure finite element formulation for the Brinkman-Darcy coupled problem.
2017. [ http ]
[2] M. Alvarez, G. N. Gatica, and R. Ruiz Baier
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems.
2016. [ http ]
[1] S. Kumar, R. Ruiz Baier, and R. Sandilya
A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem.
2016. [ http ]
In press (accepted for publication)

In press (accepted for publication)

[3] V. Anaya, M. Bendahmane, D. Mora, and R. Ruiz Baier
On a vorticity-based formulation for reaction-diffusion-Brinkman systems.
Networks and Heterogeneous Media, 2017.
bib | DOI | .pdf ]
[2] R. Bürger, S. Kumar Kenettinkara, R. Ruiz Baier, and H. Torres
Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption.
SIAM Journal of Scientific Computing, 2017.
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[1] J. Camaño, R. Oyarzúa, R. Ruiz Baier, and G. Tierra
Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions.
IMA Journal of Numerical Analysis, 2017.
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Published in refereed international journals

Published in refereed international journals

[53] M. Alvarez, G. N. Gatica, and R. Ruiz Baier
A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem.
Calcolo, 54(4):1491–1519, 2017.
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[52] V. Anaya, D. Mora, C. Reales, and R. Ruiz Baier
Mixed methods for a stream-function–vorticity formulation of the axisymmetric Brinkman equations.
Journal of Scientific Computing, 71(1):348–364, 2017.
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[51] V. Anaya, D. Mora, and R. Ruiz Baier
Pure vorticity formulation and Galerkin discretization for the Brinkman equations.
IMA Journal of Numerical Analysis, 37(4):2020–2041, 2017.
bib | DOI | http ]
[50] R. Bürger, R. Ruiz Baier, and C. Tian
Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model.
Mathematics and Computers in Simulation, 132:28–52, 2017.
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[49] J. Camaño, R. Oyarzúa, G. N. Gatica, and R. Ruiz Baier
An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity.
Numerical Methods for Partial Differential Equations, 33(5):1692–1725, 2017.
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[48] C. Cherubini, S. Filippi, A. Gizzi, and R. Ruiz Baier
A note on stress-driven anisotropic diffusion and its role in active deformable media.
Journal of Theoretical Biology, 430(7):221–228, 2017.
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[47] A. Gizzi, A. Loppini, R. Ruiz Baier, A. Ippolito, A. Camassa, A. La Camera, E. Emmi, et al.
Nonlinear diffusion and thermo-electric coupling in a two-variable model of cardiac action potential.
Chaos, 27:093919–11, 2017.
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[46] P. Lenarda, M. Paggi, and R. Ruiz Baier
Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows.
Journal of Computational Physics, 344:281–302, 2017.
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[45] A. Quarteroni, T. Lassila, S. Rossi, and R. Ruiz Baier
Integrated Heart – Coupled multiscale and multiphysics models for the simulation of the cardiac function.
Computer Methods in Applied Mechanics and Engineering, 314:345–407, 2017.
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[44] M. Alvarez, G. N. Gatica, and R. Ruiz Baier
A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem.
Computer Methods in Applied Mechanics and Engineering, 307:68–95, 2016.
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[43] M. Alvarez, G. N. Gatica, and R. Ruiz Baier
A posteriori error analysis for a viscous flow – transport problem.
ESAIM: Mathematical Modelling and Numerical Analysis, 50(6):1789–1816, 2016.
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[42] M. Alvarez, G. N. Gatica, and R. Ruiz Baier
Mixed-primal finite element approximation of a steady sedimentation-consolidation system.
Mathematical Models and Methods in Applied Sciences, 26(5):867–900, 2016.
bib | DOI | .pdf ]
[41] V. Anaya, D. Mora, R. Oyarzúa, and R. Ruiz Baier
A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem.
Numerische Mathematik, 133(4):781–817, 2016.
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[40] M. Bendahmane, R. Ruiz Baier, and C. Tian
Turing pattern dynamics and adaptive discretization of a superdiffusive Lotka-Volterra system.
Journal of Mathematical Biology, 72:1441–1465, 2016.
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[39] R. Bürger, S. Kumar, S. Kumar Kenettinkara, and R. Ruiz Baier
Discontinuous approximation of viscous two-phase flow in heterogeneous porous media.
Journal of Computational Physics, 321:126–150, 2016.
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[38] G. N. Gatica, R. Ruiz Baier, and G. Tierra
A mixed finite element method for the Darcy equations with pressure-dependent porosity.
Mathematics of Computation, 85(297):1–33, 2016.
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[37] G. N. Gatica, R. Ruiz Baier, and G. Tierra
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity.
Computers & Mathematics with Applications, 72(9):2289–2310, 2016.
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[36] R. Oyarzúa and R. Ruiz Baier
Locking-free finite element methods for poroelasticity.
SIAM Journal on Numerical Analysis, 54(5):2951–2973, 2016.
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[35] R. Ruiz Baier and I. Lunati
Mixed finite element – discontinuous finite volume element discretization of a general class of multicontinuum models.
Journal of Computational Physics, 322:666–688, 2016.
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[34] M. Alvarez, G. N. Gatica, and R. Ruiz Baier
An augmented mixed–primal finite element method for a coupled flow–transport problem.
ESAIM: Mathematical Modelling and Numerical Analysis, 49(5):1399–1427, 2015.
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[33] V. Anaya, G. N. Gatica, D. Mora, and R. Ruiz Baier
An augmented velocity-vorticity-pressure formulation for the Brinkman equations.
International Journal for Numerical Methods in Fluids, 79(3):109–137, 2015.
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[32] V. Anaya, D. Mora, C. Reales, and R. Ruiz Baier
Stabilized mixed approximation of axisymmetric Brinkman flows.
ESAIM: Mathematical Modelling and Numerical Analysis, 49(3):855–874, 2015.
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[31] B. Andreianov, M. Bendahmane, A. Quarteroni, and R. Ruiz Baier
Solvability analysis and numerical approximation of linearized cardiac electromechanics.
Mathematical Models and Methods in Applied Sciences, 25(05):959–993, 2015.
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[30] R. Bürger, S. Kumar, and R. Ruiz Baier
Discontinuous finite volume element discretization for coupled flow–transport problems arising in models of sedimentation.
Journal of Computational Physics, 299:446–471, 2015.
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[29] J. Camaño, R. Oyarzúa, G. N. Gatica, R. Ruiz Baier, and P. Venegas
New fully-mixed finite element methods for the Stokes-Darcy coupling.
Computer Methods in Applied Mechanics and Engineering, 295:362–395, 2015.
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[28] M. Dupraz, S. Filippi, A. Gizzi, A. Quarteroni, and R. Ruiz Baier
Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans.
Mathematical Methods in the Applied Sciences, 38(6):1046–1058, 2015.
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[27] S. Kumar and R. Ruiz Baier
Equal order discontinuous finite volume element methods for the Stokes problem.
Journal of Scientific Computing, 65(3):956–978, 2015.
bib | DOI | .pdf ]
[26] R. Ruiz Baier
Primal-mixed formulations for reaction-diffusion systems on deforming domains.
Journal of Computational Physics, 299:320–338, 2015.
bib | DOI | .pdf ]
[25] R. Ruiz Baier and H. Torres
Numerical solution of a multidimensional sedimentation problem using finite volume-element methods.
Applied Numerical Mathematics, 95:280–291, 2015.
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[24] Z. Lin, R. Ruiz Baier, and C. Tian
Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion.
Journal of Computational Physics, 256:806–823, 2014.
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[23] S. Rossi, T. Lassila, R. Ruiz Baier, A. Sequeira, and A. Quarteroni
Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics.
European Journal of Mechanics: A/Solids, 48:129–142, 2014.
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[22] R. Ruiz Baier, A. Gizzi, S. Rossi, C. Cherubini, A. Laadhari, S. Filippi, and A. Quarteroni
Mathematical modeling of active contraction in isolated cardiomyocytes.
Mathematical Medicine and Biology, 31(3):259–283, 2014.
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[21] V. Anaya, D. Mora, and R. Ruiz Baier
An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations.
Computer Methods in Applied Mechanics and Engineering, 267:261–274, 2013.
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[20] D. Baroli, A. Quarteroni, and R. Ruiz Baier
Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity.
Advances in Computational Mathematics, 39(2):425–443, 2013.
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[19] A. Laadhari, R. Ruiz Baier, and A. Quarteroni
Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells.
International Journal for Numerical Methods in Engineering, 96(11):712–738, 2013.
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[18] R. Ruiz Baier and C. Tian
Mathematical analysis and numerical simulation of pattern formation under cross-diffusion.
Nonlinear Analysis: Real World Applications, 14(1):601–612, 2013.
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[17] B. Ainseba, M. Bendahmane, and R. Ruiz Baier
Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology.
Journal of Mathematical Analysis and Applications, 388(1):231–247, 2012.
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[16] R. Bürger, R. Ruiz Baier, K. Schneider, and H. Torres
A multiresolution method for the simulation of sedimentation in inclined channels.
International Journal of Numerical Analysis & Modeling, 9(3):479–504, 2012.
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[15] R. Bürger, R. Ruiz Baier, and H. Torres
A stabilized finite volume element formulation for sedimentation-consolidation processes.
SIAM Journal of Scientific Computing, 34(3):B265–B289, 2012.
bib | DOI | .pdf ]
[14] F. Nobile, A. Quarteroni, and R. Ruiz Baier
An active strain electromechanical model for cardiac tissue.
International Journal for Numerical Methods in Biomedical Engineering, 28(1):52–71, 2012.
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[13] S. Rossi, R. Ruiz Baier, L. F. Pavarino, and A. Quarteroni
Orthotropic active strain models for the numerical simulation of cardiac biomechanics.
International Journal for Numerical Methods in Biomedical Engineering, 28(6–7):761–788, 2012.
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[12] B. Andreianov, M. Bendahmane, and R. Ruiz Baier
Analysis of a finite volume method for a cross-diffusion model in population dynamics.
Mathematical Models and Methods in Applied Sciences, 21(02):307–344, 2011.
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[11] S. Berres and R. Ruiz Baier
A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion.
Nonlinear Analysis: Real World Applications, 12(5):2888–2903, 2011.
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[10] S. Berres, R. Ruiz Baier, H. Schwandt, and E. M. Tory
An adaptive finite-volume method for a model of two-phase pedestrian flow.
Networks and Heterogeneous Media, 6(3):401–423, 2011.
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[9] A. Quarteroni and R. Ruiz Baier
Analysis of a finite volume element method for the Stokes problem.
Numerische Mathematik, 118(4):737–764, 2011.
bib | DOI | .pdf ]
[8] M. Bendahmane, R. Bürger, and R. Ruiz Baier
A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology.
Numerical Methods for Partial Differential Equations, 26(6):1377–1404, 2010.
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[7] M. Bendahmane, R. Bürger, and R. Ruiz Baier
A finite volume scheme for cardiac propagation in media with isotropic conductivities.
Mathematics and Computers in Simulation, 80(9):1821–1840, 2010.
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[6] R. Bürger, R. Ruiz Baier, and K. Schneider
Adaptive multiresolution methods for the simulation of waves in excitable media.
Journal of Scientific Computing, 43(2):261–290, 2010.
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[5] M. Bendahmane, R. Bürger, R. Ruiz Baier, and K. Schneider
Adaptive multiresolution schemes with local time stepping for two- dimensional degenerate reaction-diffusion systems.
Applied Numerical Mathematics, 59(7):1668–1692, 2009.
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[4] M. Bendahmane, R. Bürger, R. Ruiz Baier, and J. M. Urbano
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding.
Mathematical Methods in the Applied Sciences, 32(13):1704–1737, 2009.
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[3] R. Bürger and R. Ruiz Baier
Multiresolution simulation of reaction-diffusion systems with strong degeneracy.
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, 47:73–80, 2009.
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[2] R. Bürger, R. Ruiz, K. Schneider, and M. Sepúlveda
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension.
ESAIM: Mathematical Modelling and Numerical Analysis, 42(4):535–563, 2008.
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[1] R. Bürger, R. Ruiz, K. Schneider, and M. Sepúlveda
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux.
Journal of Engineering Mathematics, 60(3-4):365–385, 2008.
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Refereed conference proceedings and book chapters

Refereed conference proceedings and book chapters

[13] S. Kumar, R. Ruiz Baier, and R. Sandilya
Discontinuous finite volume element methods for the optimal control of Brinkman equations.
In C. Cancès and P. Omnes, editors, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, volume 200 of Springer Proc. Math. Stat., pages 307–315. Springer International Publishing, 2017.
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[12] R. Bürger, S. Kumar, S. K. Kumar Kenettinkara, and R. Ruiz Baier
A discontinuous method for oil-water flow in heterogeneous porous media.
Proceedings in Applied Mathematics and Mechanics, 16:763–764, 2016.
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[11] A. Gizzi, R. Ruiz Baier, S. Rossi, A. Laadhari, C. Cherubini, and S. Filippi
A three-dimensional continuum model of active contraction in single cardiomyocytes.
In A. Quarteroni, editor, Modeling the Heart and the Circulatory System, pages 157–176. Springer-Verlag, Milano, 2015.
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[10] F. Betancourt, R. Bürger, R. Ruiz Baier, H. Torres, and C. A. Vega
On numerical methods for hyperbolic conservation laws and related equations modelling sedimentation of solid-liquid suspensions.
In G.-Q. G. Chen, H. Holden, and K. H. Karlsen, editors, Hyperbolic conservation laws and related analysis with applications, volume 49 of Springer Proc. Math. Stat., pages 23–68. Springer, Heidelberg, 2014.
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[9] R. Ruiz Baier, D. Ambrosi, S. Pezzuto, S. Rossi, and A. Quarteroni
Activation models for the numerical simulation of cardiac electromechanical interactions.
In G. Holzapfel and E. Kuhl, editors, Computer Models in Biomechanics: From Nano to Macro, pages 189–201. Springer, Netherlands, 2013.
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[8] S. Berres and R. R. Baier
Simulation of an epidemic model with nonlinear cross-diffusion.
In E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro, and L. Cea, editors, Numerical Methods for Hyperbolic Equations, pages 331–338. CRC Press/Balkema, Leiden, 2012.
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[7] S. Berres, R. Ruiz Baier, H. Schwandt, and E. M. Tory
A two-dimensional model of pedestrian flow generating pattern formation.
In T. Li and S. Jiang, editors, Hyperbolic problems–theory, numerics and applications. Volume 1, volume 17–18 of Ser. Contemp. Appl. Math. CAM, pages 304–311. World Sci. Publishing, Singapore, 2012.
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[6] R. Bürger, R. Ruiz Baier, and H. Torres
A finite volume element method for simulating secondary settling tanks.
Proceedings in Applied Mathematics and Mechanics, 12(1):667–668, 2012.
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[5] A. Quarteroni, S. Rossi, and R. Ruiz Baier
On some numerical aspects of an active strain model in cardiac mechanics.
In P. Nithiarasu, editor, CMBE11: 2nd International Conference on Computational & Mathematical Biomedical Engineering, volume 1, pages 328–331. Swansea University, UK, 2011.
bib | DOI ]
[4] S. Rossi, R. Ruiz Baier, L. F. Pavarino, and A. Quarteroni
Active strain and activation models in cardiac electromechanics.
Proceedings in Applied Mathematics and Mechanics, 11(1):119–120, 2011.
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[3] R. Bürger and R. Ruiz Baier
Adaptive multiresolution simulation of waves in electrocardiology.
In G. Kreiss, P. Lötstedt, A. Målqvist, and M. Neytcheva, editors, Numerical Mathematics and Advanced Applications, number 2 in Springer Proc. Math. Stat., pages 199–207. Springer, Heidelberg, 2010.
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[2] M. Bendahmane, R. Bürger, R. Ruiz Baier, and K. Schneider
Adaptive multiresolution schemes for reaction-diffusion systems.
Proceedings in Applied Mathematics and Mechanics, 8(1):10969–10970, 2008.
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[1] R. Bürger, R. Ruiz, K. Schneider, and M. Sepúlveda
Multiresolution schemes for an extended clarifier-thickener model.
Proceedings in Applied Mathematics and Mechanics, 7(1):1041803–1041804, 2007.
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Theses

Theses

[2] R. Ruiz Baier
Numerical Methods and Analysis of Degenerate Parabolic Equations and Reaction-Diffusion Systems.
PhD thesis in Applied Sciences with mention in Mathematical Engineering, Universidad de Concepción, Chile, December 2008.
bib | http | .pdf ]
[1] R. Ruiz Baier
Métodos de Multiresolución y su Aplicación a un Modelo de Ingeniería.
Mathematical Engineering thesis, Universidad de Concepción, Chile, March 2005.
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