Assyr Abdulle

68 papers Journal 61Unranked 6
YearRankTypeTitle / Venue / Authors
2023 J jnl
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization.
Multiscale Model. Simul.
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
2023 J jnl
Drift Estimation of Multiscale Diffusions Based on Filtered Data.
Found. Comput. Math.
Assyr Abdulle, Giacomo Garegnani, Grigorios A. Pavliotis, Andrew M. Stuart, Andrea Zanoni
2023 J jnl
Optimal explicit stabilized postprocessed
J. Comput. Phys.
Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza
2022 J jnl
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations.
J. Comput. Phys.
Assyr Abdulle, Giacomo Rosilho de Souza
2022 J jnl
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions.
Stat. Comput.
Assyr Abdulle, Grigorios A. Pavliotis, Andrea Zanoni
2022 J jnl
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations.
SIAM J. Sci. Comput.
Assyr Abdulle, Giacomo Rosilho de Souza
2022 J jnl
Explicit stabilized multirate method for stiff differential equations.
Math. Comput.
Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza
2021 J jnl
A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems.
CoRR
Assyr Abdulle, Giacomo Garegnani
2021 J jnl
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs.
CoRR
Assyr Abdulle, Charles-Edouard Bréhier, Gilles Vilmart
2021 J jnl
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions.
CoRR
Assyr Abdulle, Grigorios A. Pavliotis, Andrea Zanoni
2021 J jnl
Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics.
CoRR
Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza
2020 J jnl
A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems.
SIAM/ASA J. Uncertain. Quantification
Assyr Abdulle, Andrea Di Blasio
2020 J jnl
A parabolic local problem with exponential decay of the resonance error for numerical homogenization.
CoRR
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
2020 J jnl
A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations.
CoRR
Assyr Abdulle, Giacomo Rosilho de Souza
2020 J jnl
An elliptic local problem with exponential decay of the resonance error for numerical homogenization.
CoRR
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
2020 J jnl
Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields.
CoRR
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
2020 J jnl
Drift Estimation of Multiscale Diffusions Based on Filtered Data.
CoRR
Assyr Abdulle, Giacomo Garegnani, Grigorios A. Pavliotis, Andrew M. Stuart, Andrea Zanoni
2020 J jnl
Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales.
Found. Comput. Math.
Assyr Abdulle, Timothée Pouchon
2020 J jnl
Ensemble Kalman Filter for Multiscale Inverse Problems.
Multiscale Model. Simul.
Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni
2020 J jnl
Explicit stabilized multirate method for stiff stochastic differential equations.
CoRR
Assyr Abdulle, Giacomo Rosilho de Souza
2020 J jnl
Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method.
CoRR
Assyr Abdulle, Giacomo Rosilho de Souza
2020 J jnl
Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration.
Stat. Comput.
Assyr Abdulle, Giacomo Garegnani
2020 J jnl
Stabilized explicit multirate methods for stiff differential equations.
CoRR
Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza
2019 J jnl
Ensemble Kalman filter for multiscale inverse problems.
CoRR
Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni
2019 J jnl
Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems.
Multiscale Model. Simul.
Assyr Abdulle, Andrea Di Blasio
2018 J jnl
Effective Models for Long Time Wave Propagation in Locally Periodic Media.
SIAM J. Numer. Anal.
Assyr Abdulle, Timothée Pouchon
2018 J jnl
Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations.
SIAM/ASA J. Uncertain. Quantification
Assyr Abdulle, Ibrahim Almuslimani, Gilles Vilmart
2017 J jnl
A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media.
SIAM J. Sci. Comput.
Assyr Abdulle, Ondrej Budác
2017 J jnl
A three-scale offline-online numerical method for fluid flow in porous media.
J. Comput. Phys.
Assyr Abdulle, Ondrej Budác, Antoine Imboden
2017 J jnl
Localized orthogonal decomposition method for the wave equation with a continuum of scales.
Math. Comput.
Assyr Abdulle, Patrick Henning
2017 J jnl
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows.
Numerische Mathematik
Assyr Abdulle, Martin E. Huber
2017 J jnl
Spectral Methods for Multiscale Stochastic Differential Equations.
SIAM/ASA J. Uncertain. Quantification
Assyr Abdulle, Grigorios A. Pavliotis, Urbain Vaes
2016 J jnl
A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time.
SIAM J. Numer. Anal.
Assyr Abdulle, Timothée Pouchon
2016 J jnl
An Optimization Based Coupling Method for Multiscale Problems.
Multiscale Model. Simul.
Assyr Abdulle, Orane Jecker, Alexander V. Shapeev
2015 J jnl
A reduced basis localized orthogonal decomposition.
J. Comput. Phys.
Assyr Abdulle, Patrick Henning
2015 J jnl
An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media.
Multiscale Model. Simul.
Assyr Abdulle, Ondrej Budác
2015 J jnl
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems.
Multiscale Model. Simul.
Assyr Abdulle, Martin E. Huber, Gilles Vilmart
2015 J jnl
Long Time Accuracy of Lie-Trotter Splitting Methods for Langevin Dynamics.
SIAM J. Numer. Anal.
Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis
2015 — conf
Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media.
ENUMATH
Assyr Abdulle, Ondrej Budác
2015 — conf
Numerical Experiments for Multiscale Problems in Linear Elasticity.
ENUMATH
Orane Jecker, Assyr Abdulle
2015 — ed.
Numerical Mathematics and Advanced Applications - ENUMATH 2013 - Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, Switzerland, August 2013
ENUMATH
Assyr Abdulle, Simone Deparis, Daniel Kressner, Fabio Nobile, Marco Picasso
2014 J jnl
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems.
Math. Comput.
Assyr Abdulle, Gilles Vilmart
2014 J jnl
Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales.
Numerische Mathematik
Assyr Abdulle, Martin E. Huber
2014 J jnl
Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects.
Multiscale Model. Simul.
Assyr Abdulle, Marcus J. Grote, Christian Stohrer
2014 J jnl
High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs.
SIAM J. Numer. Anal.
Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis
2013 J jnl
A Priori and A Posteriori W
SIAM J. Numer. Anal.
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
2013 — conf
Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations.
ENUMATH
Assyr Abdulle, Adrian Blumenthal
2013 J jnl
Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs.
Multiscale Model. Simul.
Assyr Abdulle, Andrea Barth, Christoph Schwab
2013 — conf
Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media.
ENUMATH
Assyr Abdulle, Ondrej Budác
2013 J jnl
PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise.
J. Comput. Phys.
Assyr Abdulle, Gilles Vilmart
2013 — conf
Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation.
ENUMATH
Assyr Abdulle, Yun Bai, Timothée Pouchon
2013 J jnl
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations.
J. Comput. Phys.
Assyr Abdulle, Adrian Blumenthal
2013 J jnl
Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations.
SIAM J. Sci. Comput.
Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis
2012 J jnl
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems.
Numerische Mathematik
Assyr Abdulle, Gilles Vilmart
2012 J jnl
Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales.
Math. Comput.
Assyr Abdulle
2012 J jnl
High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations.
SIAM J. Sci. Comput.
Assyr Abdulle, David Cohen, Gilles Vilmart, Konstantinos C. Zygalakis
2012 J jnl
Numerical Methods for Multilattices.
Multiscale Model. Simul.
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
2012 J jnl
Numerical methods for stochastic partial differential equations with multiple scales.
J. Comput. Phys.
Assyr Abdulle, Grigorios A. Pavliotis
2012 J jnl
Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems.
J. Comput. Phys.
Assyr Abdulle, Yun Bai
2012 J jnl
The heterogeneous multiscale method.
Acta Numer.
Assyr Abdulle, Weinan E, Björn Engquist, Eric Vanden-Eijnden
2011 J jnl
Finite Element Heterogeneous Multiscale Method for the Wave Equation.
Multiscale Model. Simul.
Assyr Abdulle, Marcus J. Grote
2008 J jnl
Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity.
Multiscale Model. Simul.
Assyr Abdulle, Björn Engquist
2008 J jnl
S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations.
SIAM J. Sci. Comput.
Assyr Abdulle, Stephane Cirilli
2005 J jnl
Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces.
Multiscale Model. Simul.
Assyr Abdulle, Christoph Schwab
2005 — conf
Numerical Methods for Transport Problems in Microdevices.
LSSC
Assyr Abdulle, Sabine Attinger
2005 J jnl
On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM.
Multiscale Model. Simul.
Assyr Abdulle
2002 J jnl
Fourth Order Chebyshev Methods with Recurrence Relation.
SIAM J. Sci. Comput.
Assyr Abdulle
2001 J jnl
Second order Chebyshev methods based on orthogonal polynomials.
Numerische Mathematik
Assyr Abdulle, Alexei A. Medovikov