Assyr Abdulle

According to our database1, Assyr Abdulle authored at least 55 papers between 2001 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2020
Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration.
Stat. Comput., 2020

A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2020

Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales.
Found. Comput. Math., 2020

Explicit stabilized multirate method for stiff stochastic differential equations.
CoRR, 2020

Drift Estimation of Multiscale Diffusions Based on Filtered Data.
CoRR, 2020

Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields.
CoRR, 2020

Stabilized explicit multirate methods for stiff differential equations.
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

An elliptic local problem with exponential decay of the resonance error for numerical homogenization.
CoRR, 2020

A parabolic local problem with exponential decay of the resonance error for numerical homogenization.
CoRR, 2020

2019
Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems.
Multiscale Model. Simul., 2019

Ensemble Kalman filter for multiscale inverse problems.
CoRR, 2019

2018
Effective Models for Long Time Wave Propagation in Locally Periodic Media.
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

Spectral Methods for Multiscale Stochastic Differential Equations.
SIAM/ASA J. Uncertain. Quantification, 2017

A three-scale offline-online numerical method for fluid flow in porous media.
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

An Optimization Based Coupling Method for Multiscale Problems.
Multiscale Model. Simul., 2016

2015
Long Time Accuracy of Lie-Trotter Splitting Methods for Langevin Dynamics.
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

A reduced basis localized orthogonal decomposition.
J. Comput. Phys., 2015

Numerical Experiments for Multiscale Problems in Linear Elasticity.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014
High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs.
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

Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs.
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

Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation.
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

Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media.
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 Multilattices.
Multiscale Model. Simul., 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

The heterogeneous multiscale method.
Acta Numer., 2012

2011
Finite Element Heterogeneous Multiscale Method for the Wave Equation.
Multiscale Model. Simul., 2011

2008
S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations.
SIAM J. Sci. Comput., 2008

Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity.
Multiscale Model. Simul., 2008

2005
Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces.
Multiscale Model. Simul., 2005

On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM.
Multiscale Model. Simul., 2005

Numerical Methods for Transport Problems in Microdevices.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2002
Fourth Order Chebyshev Methods with Recurrence Relation.
SIAM J. Sci. Comput., 2002

2001
Second order Chebyshev methods based on orthogonal polynomials.
Numerische Mathematik, 2001


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