Assyr Abdulle
Professeur ordinaire
assyr.abdulle@epfl.ch +41 21 693 03 11 http://anmc.epfl.ch/
EPFL SB MATH ANMC
MA C2 657 (Bâtiment MA)
Station 8
CH-1015 Lausanne
+41 21 693 03 11
+41 21 693 76 48
Local: MA C2 657
EPFL > SB > MATH > ANMC
Web site: Site web: https://anmc.epfl.ch/
Biographie
Assyr Abdulle a obtenu un diplôme professionnel de violon au Conservatoire de Musique de Genève en 1993 et un doctorat en mathématiques à l'Université de Genève en 2001. Il a effectué sa première année post-doctorale à l'Université de Princeton dans le cadre du programme de mathématiques appliquées et computationnelles, avec des postes successifs à l'ETH Zurich, à l'Université de Bâle et à l'Université d'Edimbourg. Il a été nommé professeur ordinaire et titulaire de la chaire de mathématiques computationnelles et d'analyse numérique à l'EPFL en 2009.
À l'EPFL, il a été le directeur-fondateur du master en sciences computationelles en 2009, directeur de l'institut MATHICSE en 2016 et directeur-fondateur de l'institut de mathématiques en 2017. En 2015 et 2016, il a reçu le prix du meilleur enseignant de la section mathématiques. Il a notamment reçu le prix SciCADE "nouveaux talents" (2005), une bourse de recherche avancée du Conseil britannique de la recherche en ingénierie et en sciences physiques (2007), le prix Wilkinson de SIAM en analyse numérique et calcul scientifique (2009) et le prix Germund Dahlquist de SIAM (2013).
Ses intérêts de recherche concernent les méthodes numériques pour les équations aux dérivées partielles multi- échelles, les méthodes d'homogénéisation numérique, les problèmes bayésiens inverses ainsi que les méthodes numériques pour les systèmes dynamiques déterministes et stochastiques.
À l'EPFL, il a été le directeur-fondateur du master en sciences computationelles en 2009, directeur de l'institut MATHICSE en 2016 et directeur-fondateur de l'institut de mathématiques en 2017. En 2015 et 2016, il a reçu le prix du meilleur enseignant de la section mathématiques. Il a notamment reçu le prix SciCADE "nouveaux talents" (2005), une bourse de recherche avancée du Conseil britannique de la recherche en ingénierie et en sciences physiques (2007), le prix Wilkinson de SIAM en analyse numérique et calcul scientifique (2009) et le prix Germund Dahlquist de SIAM (2013).
Ses intérêts de recherche concernent les méthodes numériques pour les équations aux dérivées partielles multi- échelles, les méthodes d'homogénéisation numérique, les problèmes bayésiens inverses ainsi que les méthodes numériques pour les systèmes dynamiques déterministes et stochastiques.
Collaborateurs scientifiques
Patrick Henning
Alexander Shapeev
Gilles Vilmart
Konstantinos Zygalakis
Alexander Shapeev
Gilles Vilmart
Konstantinos Zygalakis
Publications
Publications Infoscience
Publications
A. Abdulle; M. J. Grote; G. Rosilho De Souza : MATHICSE technical Report : Stabilized explicit multirate methods for stiff differential equations. 2020-06-01.
A. Assyr; G. Rosilho De Souza : MATHICSE Technical Report : A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. 2020-04-15.
A. Assyr; D. Arjmand; E. Paganoni : MATHICSE technical Report : A parabolic local problem with exponential decay of the resonance error for numerical homogenization. 2020-04-15.
A. Abdulle; T. Pouchon : Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales; Foundations Of Computational Mathematics. 2020-03-16. DOI : 10.1007/s10208-020-09456-x.
A. Abdulle; G. Garegnani : Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration; Statistics and Computing. 2020. DOI : 10.1007/s11222-020-09926-w.
A. Abdulle; D. Arjmand; E. Paganoni : MATHICSE Technical Report : An elliptic local problem with exponential decay of the resonance error for numerical homogenization. 2020.
A. Abdulle; A. Di Blasio : A Bayesian numerical homogenization method for elliptic multiscale inverse problems; SIAM/ASA Journal on uncertainty Quantification. 2020. DOI : 10.1137/18M1187891.
A. Abdulle; G. Garegnani; A. Zanoni : MATHICSE Technical Report : Ensemble Kalman filter for multiscale inverse problems. 2019-08-15.
A. Abdulle; G. Rosilho De Souza : A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations; Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2019-07-09.
T. N. Pouchon; A. Abdulle : MATHICSE Technical Report : Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales. 2019-05-28.
A. Abdulle; G. A. Pavliotis; G. Vilmart : Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations; Comptes Rendus Mathematique. 2019-04-01. DOI : 10.1016/j.crma.2019.04.008.
A. Abdulle; D. Arjmand; E. Paganoni : MATHICSE Technical Report : Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems. 2019-03-30.
A. Abdulle; G. A. Pavliotis; G. Vilmart : MATHICSE Technical Report: Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. 2019-03-07.
A. Abdulle; A. Di Blasio : Numerical Homogenization And Model Order Reduction For Multiscale Inverse Problems; Multiscale Modeling & Simulation. 2019-01-01. DOI : 10.1137/16M1091320.
A. Di Blasio / A. Abdulle (Dir.) : Penalization and Bayesian numerical methods for multiscale inverse problems. Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9360.
A. Abdulle; D. Arjmand; E. Paganoni : Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems; Comptes Rendus Mathematique. 2019. DOI : 10.1016/j.crma.2019.05.011.
A. Abdulle; G. Garegnani : MATHICSE Technical Report : Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration. 2018-09-05.
A. Abdulle; G. Rosilho De Souza : MATHICSE Technical Report : A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations. 2018-08-21.
A. Abdulle; A. Di Blasio : MATHICSE Technical Report : A Bayesian numerical homogenization method for elliptic multiscale inverse problems. 2018-05-29.
A. Abdulle; I. Almuslimani; G. Vilmart : Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations; SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION. 2018. DOI : 10.1137/17M1145859.
A. Abdulle; M. Grote; O. Jecker : Finite element heterogeneous multiscale method for elastic waves in heterogeneous media; COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 2018. DOI : 10.1016/j.cma.2018.01.038.
A. Abdulle; T. N. Pouchon : Effective Models for Long Time Wave Propagation in Locally Periodic Media; SIAM Journal on Numerical Analysis. 2018. DOI : 10.1137/17M113678X.
A. Abdulle; M. J. Grote; O. C. Jecker : MATHICSE Technical Report : Finite element heterogeneous multiscale method for elastic waves in heterogeneous media. 2017-11-28.
A. Abdulle; I. Almuslimani; G. Vilmart : MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations. 2017-09-08.
A. Abdulle; T. N. Pouchon : MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media. 2017-07-18.
T. N. Pouchon / A. Abdulle (Dir.) : Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7881.
A. Abdulle; M. J. Grote; O. Jecker : FE-HMM for elastic waves in heterogeneous media; publication. 2017.
A. Abdulle; I. Almuslimani; G. Vilmart : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations; publication. 2017.
O. C. Jecker / A. Abdulle (Dir.) : Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves. Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-7467.
A. Abdulle; G. A. Pavliotis; U. Vaes : Spectral methods for multiscale stochastic differential equations; SIAM/ASA Journal on Uncertainty Quantification. 2017. DOI : 10.1137/16M1094117.
A. Abdulle; M. E. Huber; S. Lemaire : An optimization-based numerical method for diffusion problems with sign-changing coefficients; C. R. Acad. Sci. Paris, Série I. 2017. DOI : 10.1016/j.crma.2017.02.010.
A. Abdulle; O. Budác; A. Imboden : A three-scale offline–online numerical method for fluid flow in porous media; Journal of Computational Physics. 2017. DOI : 10.1016/j.jcp.2017.02.006.
A. Abdulle; O. C. Jecker : On heterogeneous coupling of multiscale methods for problems with and without scale separation; Research in the mathematical Sciences. 2017. DOI : 10.1186/s40687-017-0118-9.
A. Abdulle; P. Henning : Multiscale methods for wave problems in heterogenous media; Handbook of Numerical Analysis. 2017.
A. Abdulle; M. E. Huber : Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows; Numerische Mathematik. 2017. DOI : 10.1007/s00211-016-0854-6.
A. Abdulle; O. Budác : A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media; Siam Journal on Scientific Computing. 2017. DOI : 10.1137/15M1050690.
A. Abdulle; P. Henning : Localized orthogonal decomposition method for the wave equation with a continuum of scales; Mathematics of Computation. 2017. DOI : 10.1090/mcom/3114.
A. Abdulle; G. A. Pavliotis; U. Vaes : MATHICSE Technical Report : Spectral methods for multiscale stochastic differential equations. 2016-09.
A. Abdulle; A. Di Blasio : MATHICSE Technical Report : Numerical homogenization and model order reduction for multiscale inverse problems. 2016-08.
A. Abdulle; M. E. Huber; S. Lemaire : MATHICSE Technical Report : An optimization-based numerical method for diffusion problems with sign-changing coefficients. 2016-08.
A. Abdulle; O. Budác; A. Imboden : MATHICSE Technical Report : Multiscale methods and model order reduction for flow problems in three-scale porous media. 2016-07.
A. Abdulle; O. Jecker : MATHICSE Technical Report : On heterogeneous coupling of multiscale methods for problems with and without scale separation. 2016-07.
A. Abdulle; P. Henning : MATHICSE Technical Report : Multiscale methods for wave problems in heterogeneous media. 2016-07.
A. Abdulle; O. Budác : MATHICSE Technical Report : Multiscale model reduction methods for flow in heterogeneous porous media. 2016-07.
A. Abdulle; T. N. Pouchon : MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization. 2016-02-12.
A. Abdulle; O. C. Jecker; A. Shapeev : An Optimization Based Coupling Method For Multiscale Problems; Multiscale Modeling & Simulation. 2016. DOI : 10.1137/15M105389X.
A. Abdulle; M. E. Huber : Finite Element Heterogeneous Multiscale Method For Nonlinear Monotone Parabolic Homogenization Problems; Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique. 2016. DOI : 10.1051/m2an/2016003.
O. Budáč / A. Abdulle (Dir.) : Multiscale methods for Stokes flow in heterogeneous media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-7135.
A. Abdulle; O. Budác : Multiscale model reduction methods for flow in heterogeneous porous media. 2016. Numerical Mathematics and Advanced Applications ENUMATH 2015, Institute of Applied Mathematics (IAM), Middle East Technical University, Ankara, Turkey, September 14 to 18, 2015. DOI : 10.1007/978-3-319-39929-4_32.
A. E. Grandchamp / J. Maddocks (Dir.) : On the statistical physics of chains and rods, with application to multi-scale sequence-dependent DNA modelling. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6977.
A. Abdulle : Numerical methods for wave equation in heterogenous media. 2016. Oberwolfach Workshop, Oberwolfach, March 20-26, 2016.
A. Abdulle; O. C. Jecker : Numerical experiments for multiscale problems in linear elasticity. 2016. Numerical Mathematics and Advanced Applications ‐ ENUMATH 2015, Institute of Applied Mathematics (IAM), Middle East Technical University, Ankara, Turkey, September 14 to 18, 2015. It offers an overview of central recent developments in numerical analysis, computational m. p. 123-131. DOI : 10.1007/978-3-319-39929-4_13.
A. Abdulle; T. N. Pouchon : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization; Mathematical Models and Methods in Applied Sciences. 2016. DOI : 10.1142/S0218202516500627.
F. Tesei / F. Nobile (Dir.) : Numerical Approximation of Flows in Random Porous Media. Lausanne, EPFL, 2016. DOI : 10.5075/epfl-thesis-6860.
A. Abdulle : Numerical homogenization methods for parabolic monotone problems; Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations; 2016. p. 1-38.
A. Abdulle; O. Budác : A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media; Computer Methods in Applied Mechanics and Engineering. 2016. DOI : 10.1016/j.cma.2016.03.016.
A. Abdulle; T. N. Pouchon : A priori error analysis of the finite element heterogeneous multiscale method for the wave equation in heterogeneous media over long time; SIAM Journal on Numerical Analysis. 2016. DOI : 10.1137/15M1025633.
A. Abdulle; M. E. Huber : Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization; Numerical Methods for Partial Differential Equations. 2016. DOI : 10.1002/num.22037.
A. Abdulle; O. Jecker; A. Shapeev : MATHICSE Technical Report: An optimization based coupling method for multiscale problems. 2015-12.
A. Abdulle; M. Huber : MATHICSE Technical Report: Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows. 2015-12.
A. Abdulle : MATHICSE Technical Report: Numerical homogenization methods for parabolic monotone problems. 2015-12.
A. Abdulle; O. Budác : MATHICSE Technical Report: A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media. 2015-12.
A. Abdulle; O. Budác : MATHICSE Technical Report : A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media. 2015-07.
A. Abulle; T. N. Pouchon : MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time. 2015-06.
A. Blumenthal / A. Abdulle (Dir.) : Stabilized Numerical Methods for Stochastic Differential Equations driven by Diffusion and Jump-Diffusion Processes. Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6771.
M. E. Huber / A. Abdulle (Dir.) : Numerical homogenization methods for advection-diffusion and nonlinear monotone problems with multiple scales. Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6769.
A. Abdulle; S. Deparis; D. Kressner; F. Nobile; M. Picasso : Numerical Mathematics and Advanced Applications - ENUMATH 2013. 2015.
A. Abdulle; O. Budác : A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries; Comptes Rendus Mathematique. 2015. DOI : 10.1016/j.crma.2015.03.019.
A. Abdulle : Reduced basis heterogeneous multiscale methods. 2015. Euromech Colloquium 559 - Multi-scale computational methods for bridging scales in materials and structures, Eindhoven, The Netherlands, February 23-25, 2015.
A. Abdulle : Reduced basis techniques for multiscale methods. 2015. Oberwolfach Workshop, Oberwolfach, January 11-17, 2015.
A. Abdulle : The role of numerical integration in numerical homogenization; ESAIM: Proceedings. 2015.
G. Migliorati : Adaptive polynomial approximation by means of random discrete least squares. 2015. ENUMATH 2013, Lausanne, August 26-30, 2013. p. 547-554. DOI : 10.1007/978-3-319-10705-9_54.
A. Abdulle; P. Henning : A reduced basis localized orthogonal decomposition; Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2015.04.016.
A. Abdulle; M. E. Huber; G. Vilmart : Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems; Multiscale Modeling and Simulation. 2015. DOI : 10.1137/140975504.
A. Abdulle; O. C. Jecker : An optimization-based multiscale coupling method; Communication in Mathematical Sciences. 2015. DOI : 10.4310/CMS.2015.v13.n6.a13.
A. Abdulle; G. Vilmart; K. C. Zygalakis : Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics; SIAM Journal on Numerical Analysis. 2015. DOI : 10.1137/140962644.
A. Abdulle; O. Budác : Multiscale adaptive method for Stokes fow in heterogenenous media. 2015. Enumath 2013, EPFL, Lausanne, Switzerland, August 26-30,2013.
A. Abdulle; Y. Bai; T. N. Pouchon : Reduced basis numerical homogenization method for the multiscale wave equation. 2015. Enumath 2013, EPFL,Lausanne, Switzerland, August 26-30,2013. p. 397-405.
A. Abdulle; A. Blumenthal : Improved stabilized multilevel Monte Carlo method for stiff stochastic differential equations. 2015. Enumath 2013, EPFL, Lausanne, Switzerland, August 26-30,2013.
A. Abdulle; O. Budác : An adaptive finite element heterogeneous multiscale method for Stokes flow in porous media; Multiscale Modeling and Simulation. 2015. DOI : 10.1137/130950136.
A. Abdulle; Y. Bai; G. Vilmart : Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems; Discrete and Continuous Dynamical Systems. 2015. DOI : 10.3934/dcdss.2015.8.91.
A. Abdulle : Numerical homogenization; Encyclopedia of Applied and Computational Mathematics; Berlin: Springer, 2015. p. 1066-1074.
A. Abdulle; Y. Bai : Fully discrete analysis of the heterogeneous multiscale method for elliptic problems with multiple scales; IMA, Journal of Numerical Analysis. 2015. DOI : 10.1093/imanum/drt066.
A. Abdulle : Explicit stabilized Runge-Kutta methods; Encyclopedia of Applied and Computational Mathematics; Berlin: Springer, 2015. p. 460-468.
A. Abdulle : Numerical techniques for differential equations with multiple scales in space or time. 2014. Oberwolfach Workshop, Oberwolfach. p. 48-50.
A. Abdulle : Numerical methods for multiscale parabolic and hyperbolic problems. 2014. Oberwolfach Workshop, Oberwolfach. p. 1631-1633.
A. Abdulle; M. E. Huber : Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems; publication. 2014.
A. Abdulle; Y. Bai : Reduced order modelling numerical homogenization; Philosophical Transactions of the Royal Society A. 2014. DOI : 10.1098/rsta.2013.0388.
A. Abdulle; M. J. Grote; C. Stohrer : Finite element heterogeneous multiscale method for the wave equation: long-time effects; Multiscale Modeling and Simulation. 2014. DOI : 10.1137/13094195X.
A. Abdulle; G. Vilmart; K. C. Zygalakis : High order numerical approximation of the invariant measure of ergodic SDEs; Siam Journal on Numerical Analysis. 2014. DOI : 10.1137/130935616.
A. Abdulle; Y. Bai; G. Vilmart : An online-offline homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems; International Journal for Numerical Methods in Engineering. 2014. DOI : 10.1002/nme.4682.
A. Abdulle; M. E. Huber : Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales; Numerische Mathematik. 2014. DOI : 10.1007/s00211-013-0578-9.
A. Abdulle; G. Vilmart : Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems; Mathematics of Computation. 2014. DOI : 10.1090/S0025-5718-2013-02758-5.
Y. Bai / A. Abdulle (Dir.) : Reduced order modeling techniques for numerical homogenization methods applied to linear and nonlinear multiscale problems. Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5922.
A. Abdulle; M. J. Grote; C. Stohrer : FE heterogeneous multiscale method for long time wave propagation; Comptes Rendus Mathématique (Académie des Sciences). 2013. DOI : 10.1016/j.crma.2013.06.002.
A. Abdulle : Coupling reduced basis and numerical homogenization methods for solving quasilinear elliptic problems. 2013. Oberwolfach Workshop onInterplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfach, March 17-23, 2013. p. 807-809. DOI : 10.4171/OWR/2013/14.
A. Abdulle; M. J. Grote; C. M. Stohrer : Finite element heterogeneous multiscale method for the wave equation: dispersive effects. 2013. 11th International Conference on the Mathematical and Numerical Aspects of Waves.
A. Abdulle; A. Blumenthal : Stabilized multilevel Monte Carlo method for stiff stochastic differential equations; Journal of Computational Physics. 2013. DOI : 10.1016/j.jcp.2013.05.039.
A. Abdulle; G. Vilmart; K. Zygalakis : Weak second order explicit stabilized methods for stiff stochastic differential equations; SIAM Journal on Scientific Computing. 2013. DOI : 10.1137/12088954X.
A. Abdulle; Y. Bai : Adaptive reduced basis finite element heterogeneous multiscale method; Computer Methods in Applied Mechanics and Engineering. 2013. DOI : 10.1016/j.cma.2013.01.002.
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