Assyr Abdulle
Orcid: 0000-0002-5687-9742
According to our database1,
Assyr Abdulle
authored at least 62 papers
between 2001 and 2023.
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Bibliography
2023
Optimal explicit stabilized postprocessed <i>τ</i>-leap method for the simulation of chemical kinetics.
J. Comput. Phys., November, 2023
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization.
Multiscale Model. Simul., June, 2023
Found. Comput. Math., February, 2023
2022
SIAM J. Sci. Comput., 2022
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions.
Stat. Comput., 2022
Math. Comput., 2022
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations.
J. Comput. Phys., 2022
2021
Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics.
CoRR, 2021
A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems.
CoRR, 2021
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs.
CoRR, 2021
2020
Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration.
Stat. Comput., 2020
Multiscale Model. Simul., 2020
SIAM/ASA J. Uncertain. Quantification, 2020
Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales.
Found. Comput. Math., 2020
Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields.
CoRR, 2020
A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations.
CoRR, 2020
Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method.
CoRR, 2020
A parabolic local problem with exponential decay of the resonance error for numerical homogenization.
CoRR, 2020
2019
Multiscale Model. Simul., 2019
2018
SIAM J. Numer. Anal., 2018
Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations.
SIAM/ASA J. Uncertain. Quantification, 2018
2017
A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media.
SIAM J. Sci. Comput., 2017
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows.
Numerische Mathematik, 2017
Localized orthogonal decomposition method for the wave equation with a continuum of scales.
Math. Comput., 2017
SIAM/ASA J. Uncertain. Quantification, 2017
J. Comput. Phys., 2017
2016
A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time.
SIAM J. Numer. Anal., 2016
Multiscale Model. Simul., 2016
2015
SIAM J. Numer. Anal., 2015
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems.
Multiscale Model. Simul., 2015
An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media.
Multiscale Model. Simul., 2015
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
2014
SIAM J. Numer. Anal., 2014
Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales.
Numerische Mathematik, 2014
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems.
Math. Comput., 2014
Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects.
Multiscale Model. Simul., 2014
2013
Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations.
SIAM J. Sci. Comput., 2013
A Priori and A Posteriori W<sup>1, INFINITY</sup> Error Analysis of a QC Method for Complex Lattices.
SIAM J. Numer. Anal., 2013
Multiscale Model. Simul., 2013
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., 2013
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations.
J. Comput. Phys., 2013
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013
Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013
2012
High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations.
SIAM J. Sci. Comput., 2012
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems.
Numerische Mathematik, 2012
Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales.
Math. Comput., 2012
Numerical methods for stochastic partial differential equations with multiple scales.
J. Comput. Phys., 2012
Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems.
J. Comput. Phys., 2012
2011
Multiscale Model. Simul., 2011
2008
SIAM J. Sci. Comput., 2008
Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity.
Multiscale Model. Simul., 2008
2005
Multiscale Model. Simul., 2005
Multiscale Model. Simul., 2005
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005
2002
2001
Numerische Mathematik, 2001