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2020 – today
- 2023
[j48]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): 33-84 (2023)- [j47]Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza:
Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics. J. Comput. Phys. 493: 112482 (2023) - [j46]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): 513-541 (2023) - 2022
- [j45]Assyr Abdulle, Giacomo Rosilho de Souza:
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. J. Comput. Phys. 451: 110894 (2022) - [j44]Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza:
Explicit stabilized multirate method for stiff differential equations. Math. Comput. 91(338): 2681-2714 (2022) - [j43]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): 34 (2022) - [j42]Assyr Abdulle, Giacomo Rosilho de Souza:
Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations. SIAM J. Sci. Comput. 44(4): 1859- (2022) - 2021
- [i13]Assyr Abdulle, Charles-Edouard Bréhier, Gilles Vilmart:
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs. CoRR abs/2102.03209 (2021) - [i12]Assyr Abdulle, Giacomo Garegnani:
A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems. CoRR abs/2103.06204 (2021) - [i11]Assyr Abdulle, Grigorios A. Pavliotis, Andrea Zanoni:
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions. CoRR abs/2104.10587 (2021) - [i10]Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza:
Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics. CoRR abs/2106.09339 (2021) - 2020
- [j41]Assyr Abdulle, Timothée Pouchon:
Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales. Found. Comput. Math. 20(6): 1505-1547 (2020) - [j40]Assyr Abdulle, Andrea Di Blasio:
A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems. SIAM/ASA J. Uncertain. Quantification 8(1): 414-450 (2020) - [j39]Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni:
Ensemble Kalman Filter for Multiscale Inverse Problems. Multiscale Model. Simul. 18(4): 1565-1594 (2020) - [j38]Assyr Abdulle, Giacomo Garegnani:
Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration. Stat. Comput. 30(4): 907-932 (2020) - [i9]Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni:
A parabolic local problem with exponential decay of the resonance error for numerical homogenization. CoRR abs/2001.05543 (2020) - [i8]Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni:
An elliptic local problem with exponential decay of the resonance error for numerical homogenization. CoRR abs/2001.06315 (2020) - [i7]Assyr Abdulle, Giacomo Rosilho de Souza:
Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method. CoRR abs/2003.03154 (2020) - [i6]Assyr Abdulle, Giacomo Rosilho de Souza:
A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. CoRR abs/2004.07148 (2020) - [i5]Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza:
Stabilized explicit multirate methods for stiff differential equations. CoRR abs/2006.00744 (2020) - [i4]Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni:
Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields. CoRR abs/2007.10828 (2020) - [i3]Assyr Abdulle, Giacomo Garegnani, Grigorios A. Pavliotis, Andrew M. Stuart, Andrea Zanoni:
Drift Estimation of Multiscale Diffusions Based on Filtered Data. CoRR abs/2009.13457 (2020) - [i2]Assyr Abdulle, Giacomo Rosilho de Souza:
Explicit stabilized multirate method for stiff stochastic differential equations. CoRR abs/2010.15193 (2020)
2010 – 2019
- 2019
- [j37]Assyr Abdulle, Andrea Di Blasio:
Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems. Multiscale Model. Simul. 17(1): 399-433 (2019) - [i1]Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni:
Ensemble Kalman filter for multiscale inverse problems. CoRR abs/1908.05495 (2019) - 2018
- [j36]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): 937-964 (2018) - [j35]Assyr Abdulle, Timothée Pouchon:
Effective Models for Long Time Wave Propagation in Locally Periodic Media. SIAM J. Numer. Anal. 56(5): 2701-2730 (2018) - 2017
- [j34]Assyr Abdulle, Ondrej Budác, Antoine Imboden:
A three-scale offline-online numerical method for fluid flow in porous media. J. Comput. Phys. 337: 175-202 (2017) - [j33]Assyr Abdulle, Grigorios A. Pavliotis, Urbain Vaes:
Spectral Methods for Multiscale Stochastic Differential Equations. SIAM/ASA J. Uncertain. Quantification 5(1): 720-761 (2017) - [j32]Assyr Abdulle, Patrick Henning:
Localized orthogonal decomposition method for the wave equation with a continuum of scales. Math. Comput. 86(304): 549-587 (2017) - [j31]Assyr Abdulle, Martin E. Huber:
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows. Numerische Mathematik 136(3): 603-649 (2017) - [j30]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) - 2016
- [j29]Assyr Abdulle, Orane Jecker, Alexander V. Shapeev:
An Optimization Based Coupling Method for Multiscale Problems. Multiscale Model. Simul. 14(4): 1377-1416 (2016) - [j28]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): 1507-1534 (2016) - 2015
- [j27]Assyr Abdulle, Patrick Henning:
A reduced basis localized orthogonal decomposition. J. Comput. Phys. 295: 379-401 (2015) - [j26]Assyr Abdulle, Ondrej Budác:
An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media. Multiscale Model. Simul. 13(1): 256-290 (2015) - [j25]Assyr Abdulle, Martin E. Huber, Gilles Vilmart:
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems. Multiscale Model. Simul. 13(3): 916-952 (2015) - [j24]Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis:
Long Time Accuracy of Lie-Trotter Splitting Methods for Langevin Dynamics. SIAM J. Numer. Anal. 53(1): 1-16 (2015) - [c6]Orane Jecker, Assyr Abdulle:
Numerical Experiments for Multiscale Problems in Linear Elasticity. ENUMATH 2015: 123-131 - [c5]Assyr Abdulle, Ondrej Budác:
Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media. ENUMATH 2015: 333-349 - [e1]Assyr Abdulle, Simone Deparis, Daniel Kressner, Fabio Nobile, Marco Picasso:
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. Lecture Notes in Computational Science and Engineering 103, Springer 2015, ISBN 978-3-319-10704-2 [contents] - 2014
- [j23]Assyr Abdulle, Marcus J. Grote, Christian Stohrer:
Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects. Multiscale Model. Simul. 12(3): 1230-1257 (2014) - [j22]Assyr Abdulle, Gilles Vilmart:
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems. Math. Comput. 83(286): 513-536 (2014) - [j21]Assyr Abdulle, Martin E. Huber:
Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales. Numerische Mathematik 126(4): 589-633 (2014) - [j20]Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis:
High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs. SIAM J. Numer. Anal. 52(4): 1600-1622 (2014) - 2013
- [j19]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: 869-888 (2013) - [j18]Assyr Abdulle, Adrian Blumenthal:
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations. J. Comput. Phys. 251: 445-460 (2013) - [j17]Assyr Abdulle, Andrea Barth, Christoph Schwab:
Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs. Multiscale Model. Simul. 11(4): 1033-1070 (2013) - [j16]Assyr Abdulle, Ping Lin, Alexander V. Shapeev:
A Priori and A Posteriori W1, INFINITY Error Analysis of a QC Method for Complex Lattices. SIAM J. Numer. Anal. 51(4): 2357-2379 (2013) - [j15]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) - [c4]Assyr Abdulle, Ondrej Budác:
Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media. ENUMATH 2013: 367-375 - [c3]Assyr Abdulle, Yun Bai, Timothée Pouchon:
Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation. ENUMATH 2013: 397-405 - [c2]Assyr Abdulle, Adrian Blumenthal:
Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations. ENUMATH 2013: 537-545 - 2012
- [j14]Assyr Abdulle, Weinan E, Björn Engquist, Eric Vanden-Eijnden:
The heterogeneous multiscale method. Acta Numer. 21: 1-87 (2012) - [j13]Assyr Abdulle, Grigorios A. Pavliotis:
Numerical methods for stochastic partial differential equations with multiple scales. J. Comput. Phys. 231(6): 2482-2497 (2012) - [j12]Assyr Abdulle, Yun Bai:
Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems. J. Comput. Phys. 231(21): 7014-7036 (2012) - [j11]Assyr Abdulle, Ping Lin, Alexander V. Shapeev:
Numerical Methods for Multilattices. Multiscale Model. Simul. 10(3): 696-726 (2012) - [j10]Assyr Abdulle:
Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales. Math. Comput. 81(278): 687-713 (2012) - [j9]Assyr Abdulle, Gilles Vilmart:
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems. Numerische Mathematik 121(3): 397-431 (2012) - [j8]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) - 2011
- [j7]Assyr Abdulle, Marcus J. Grote:
Finite Element Heterogeneous Multiscale Method for the Wave Equation. Multiscale Model. Simul. 9(2): 766-792 (2011)
2000 – 2009
- 2008
- [j6]Assyr Abdulle, Björn Engquist:
Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity. Multiscale Model. Simul. 6(4): 1059-1084 (2008) - [j5]Assyr Abdulle, Stephane Cirilli:
S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations. SIAM J. Sci. Comput. 30(2): 997-1014 (2008) - 2005
- [j4]Assyr Abdulle, Christoph Schwab:
Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces. Multiscale Model. Simul. 3(1): 195-220 (2005) - [j3]Assyr Abdulle:
On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM. Multiscale Model. Simul. 4(2): 447-459 (2005) - [c1]Assyr Abdulle, Sabine Attinger:
Numerical Methods for Transport Problems in Microdevices. LSSC 2005: 67-75 - 2002
- [j2]Assyr Abdulle:
Fourth Order Chebyshev Methods with Recurrence Relation. SIAM J. Sci. Comput. 23(6): 2041-2054 (2002) - 2001
- [j1]Assyr Abdulle, Alexei A. Medovikov:
Second order Chebyshev methods based on orthogonal polynomials. Numerische Mathematik 90(1): 1-18 (2001)
Coauthor Index
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