Assyr Abdulle

Publication Activity (10 Years)

Years Active: 2001-2023
Publications (10 Years): 34

Top Topics

Differential Equations

Inverse Problems

Top Venues

Multiscale Model. Simul.

SIAM J. Numer. Anal.

J. Comput. Phys.

Publications

Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza
-leap method for the simulation of chemical kinetics. J. Comput. Phys. 493 (2023)
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization. Multiscale Model. Simul. 21 (2) (2023)
Assyr Abdulle, Giacomo Garegnani, Grigorios A. Pavliotis, Andrew M. Stuart, Andrea Zanoni
Drift Estimation of Multiscale Diffusions Based on Filtered Data. Found. Comput. Math. 23 (1) (2023)
Assyr Abdulle, Giacomo Rosilho de Souza
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. J. Comput. Phys. 451 (2022)
Assyr Abdulle, Grigorios A. Pavliotis, Andrea Zanoni
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions. Stat. Comput. 32 (2) (2022)
Assyr Abdulle, Giacomo Rosilho de Souza
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations. SIAM J. Sci. Comput. 44 (4) (2022)
Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza
Explicit stabilized multirate method for stiff differential equations. Math. Comput. 91 (338) (2022)
Assyr Abdulle, Grigorios A. Pavliotis, Andrea Zanoni
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions. CoRR (2021)
Assyr Abdulle, Giacomo Garegnani
A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems. CoRR (2021)
Assyr Abdulle, Charles-Edouard Bréhier, Gilles Vilmart
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs. CoRR (2021)
Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza
Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics. CoRR (2021)
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
An elliptic local problem with exponential decay of the resonance error for numerical homogenization. CoRR (2020)
Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni
Ensemble Kalman Filter for Multiscale Inverse Problems. Multiscale Model. Simul. 18 (4) (2020)
Assyr Abdulle, Giacomo Garegnani, Grigorios A. Pavliotis, Andrew M. Stuart, Andrea Zanoni
Drift Estimation of Multiscale Diffusions Based on Filtered Data. CoRR (2020)
Assyr Abdulle, Giacomo Rosilho de Souza
A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. CoRR (2020)
Assyr Abdulle, Andrea Di Blasio
A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems. SIAM/ASA J. Uncertain. Quantification 8 (1) (2020)
Assyr Abdulle, Giacomo Rosilho de Souza
Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method. CoRR (2020)
Assyr Abdulle, Giacomo Garegnani
Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration. Stat. Comput. 30 (4) (2020)
Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza
Stabilized explicit multirate methods for stiff differential equations. CoRR (2020)
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields. CoRR (2020)
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
A parabolic local problem with exponential decay of the resonance error for numerical homogenization. CoRR (2020)
Assyr Abdulle, Timothée Pouchon
Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales. Found. Comput. Math. 20 (6) (2020)
Assyr Abdulle, Giacomo Rosilho de Souza
Explicit stabilized multirate method for stiff stochastic differential equations. CoRR (2020)
Assyr Abdulle, Andrea Di Blasio
Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems. Multiscale Model. Simul. 17 (1) (2019)
Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni
Ensemble Kalman filter for multiscale inverse problems. CoRR (2019)
Assyr Abdulle, Ibrahim Almuslimani, Gilles Vilmart
Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations. SIAM/ASA J. Uncertain. Quantification 6 (2) (2018)
Assyr Abdulle, Timothée Pouchon
Effective Models for Long Time Wave Propagation in Locally Periodic Media. SIAM J. Numer. Anal. 56 (5) (2018)
Assyr Abdulle, Grigorios A. Pavliotis, Urbain Vaes
Spectral Methods for Multiscale Stochastic Differential Equations. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Assyr Abdulle, Ondrej Budác
A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media. SIAM J. Sci. Comput. 39 (1) (2017)
Assyr Abdulle, Ondrej Budác, Antoine Imboden
A three-scale offline-online numerical method for fluid flow in porous media. J. Comput. Phys. 337 (2017)
Assyr Abdulle, Patrick Henning
Localized orthogonal decomposition method for the wave equation with a continuum of scales. Math. Comput. 86 (304) (2017)
Assyr Abdulle, Martin E. Huber
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows. Numerische Mathematik 136 (3) (2017)
Assyr Abdulle, Timothée Pouchon
A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time. SIAM J. Numer. Anal. 54 (3) (2016)
Assyr Abdulle, Orane Jecker, Alexander V. Shapeev
An Optimization Based Coupling Method for Multiscale Problems. Multiscale Model. Simul. 14 (4) (2016)
Orane Jecker, Assyr Abdulle
Numerical Experiments for Multiscale Problems in Linear Elasticity. ENUMATH (2015)
Assyr Abdulle, Ondrej Budác
Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media. ENUMATH (2015)
Assyr Abdulle, Ondrej Budác
An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media. Multiscale Model. Simul. 13 (1) (2015)
Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis
Long Time Accuracy of Lie-Trotter Splitting Methods for Langevin Dynamics. SIAM J. Numer. Anal. 53 (1) (2015)
Assyr Abdulle, Martin E. Huber, Gilles Vilmart
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems. Multiscale Model. Simul. 13 (3) (2015)
Assyr Abdulle, Patrick Henning
A reduced basis localized orthogonal decomposition. J. Comput. Phys. 295 (2015)
Assyr Abdulle, Marcus J. Grote, Christian Stohrer
Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects. Multiscale Model. Simul. 12 (3) (2014)
Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis
High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs. SIAM J. Numer. Anal. 52 (4) (2014)
Assyr Abdulle, Gilles Vilmart
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems. Math. Comput. 83 (286) (2014)
Assyr Abdulle, Martin E. Huber
Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales. Numerische Mathematik 126 (4) (2014)
Assyr Abdulle, Adrian Blumenthal
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations. J. Comput. Phys. 251 (2013)
Assyr Abdulle, Andrea Barth, Christoph Schwab
Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs. Multiscale Model. Simul. 11 (4) (2013)
Assyr Abdulle, Adrian Blumenthal
Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations. ENUMATH (2013)
Assyr Abdulle, Yun Bai, Timothée Pouchon
Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation. ENUMATH (2013)
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
Error Analysis of a QC Method for Complex Lattices. SIAM J. Numer. Anal. 51 (4) (2013)
Assyr Abdulle, Gilles Vilmart
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. 242 (2013)
Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis
Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations. SIAM J. Sci. Comput. 35 (4) (2013)
Assyr Abdulle, Ondrej Budác
Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media. ENUMATH (2013)
Assyr Abdulle
Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales. Math. Comput. 81 (278) (2012)
Assyr Abdulle, Yun Bai
Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems. J. Comput. Phys. 231 (21) (2012)
Assyr Abdulle, Weinan E, Björn Engquist, Eric Vanden-Eijnden
The heterogeneous multiscale method. Acta Numer. 21 (2012)
Assyr Abdulle, Grigorios A. Pavliotis
Numerical methods for stochastic partial differential equations with multiple scales. J. Comput. Phys. 231 (6) (2012)
Assyr Abdulle, Ping Lin, Alexander V. Shapeev
Numerical Methods for Multilattices. Multiscale Model. Simul. 10 (3) (2012)
Assyr Abdulle, David Cohen, Gilles Vilmart, Konstantinos C. Zygalakis
High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations. SIAM J. Sci. Comput. 34 (3) (2012)
Assyr Abdulle, Gilles Vilmart
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems. Numerische Mathematik 121 (3) (2012)
Assyr Abdulle, Marcus J. Grote
Finite Element Heterogeneous Multiscale Method for the Wave Equation. Multiscale Model. Simul. 9 (2) (2011)
Assyr Abdulle, Björn Engquist
Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity. Multiscale Model. Simul. 6 (4) (2008)
Assyr Abdulle, Stephane Cirilli
S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations. SIAM J. Sci. Comput. 30 (2) (2008)
Assyr Abdulle, Sabine Attinger
Numerical Methods for Transport Problems in Microdevices. LSSC (2005)
Assyr Abdulle
On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM. Multiscale Model. Simul. 4 (2) (2005)
Assyr Abdulle, Christoph Schwab
Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces. Multiscale Model. Simul. 3 (1) (2005)
Assyr Abdulle
Fourth Order Chebyshev Methods with Recurrence Relation. SIAM J. Sci. Comput. 23 (6) (2002)
Assyr Abdulle, Alexei A. Medovikov
Second order Chebyshev methods based on orthogonal polynomials. Numerische Mathematik 90 (1) (2001)