Assyr Abdulle

发表

A priori and a posteriori error analysis for numerical homogenization: a unified framework

Assyr Abdulle, A. Abdulle, 2011 .

S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations

Assyr Abdulle, Stephane Cirilli, A. Abdulle, 2008, SIAM J. Sci. Comput..

Boosted Hybrid Method for Solving Chemical Reaction Systems with Multiple Scales in Time and Population Size

Assyr Abdulle, Tiejun Li, Yucheng Hu, 2012 .

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

Assyr Abdulle, Konstantinos C. Zygalakis, Gilles Vilmart, 2015, SIAM J. Numer. Anal..

Numerical Methods for Transport Problems in Microdevices

Sabine Attinger, Assyr Abdulle, 2005, LSSC.

Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media

Assyr Abdulle, Ondrej Budác, 2015, ENUMATH.

A reduced basis localized orthogonal decomposition

Assyr Abdulle, Patrick Henning, A. Abdulle, 2014, J. Comput. Phys..

Ensemble Kalman filter for multiscale inverse problems pdf

Assyr Abdulle, Giacomo Garegnani, Andrea Zanoni, 2019, Multiscale Model. Simul..

Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations

Assyr Abdulle, Konstantinos C. Zygalakis, Gilles Vilmart, 2013, SIAM J. Sci. Comput..

A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems

Assyr Abdulle, Gilles Vilmart, A. Abdulle, 2011, Numerische Mathematik.

Explicit stabilized multirate method for stiff stochastic differential equations pdf

Assyr Abdulle, Giacomo Rosilho de Souza, 2020, ArXiv.

A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time

Assyr Abdulle, Timothée Pouchon, A. Abdulle, 2016, SIAM J. Numer. Anal..

Numerical Experiments for Multiscale Problems in Linear Elasticity

Assyr Abdulle, Orane Jecker, A. Abdulle, 2015, ENUMATH.

Finite Element Heterogeneous Multiscale Method for the Wave Equation

Marcus J. Grote, Assyr Abdulle, 2011, Multiscale Model. Simul..

Drift Estimation of Multiscale Diffusions Based on Filtered Data pdf

Andrew M. Stuart, Grigorios A. Pavliotis, Assyr Abdulle, 2020, ArXiv.

PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise

Assyr Abdulle, Gilles Vilmart, A. Abdulle, 2013, J. Comput. Phys..

Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations

Assyr Abdulle, Adrian Blumenthal, A. Abdulle, 2013, ENUMATH.

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

Daniel Kressner, Fabio Nobile, Assyr Abdulle, 2015, ENUMATH.

Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

Assyr Abdulle, Yun Bai, A. Abdulle, 2012, J. Comput. Phys..

Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration

Assyr Abdulle, Giacomo Garegnani, A. Abdulle, 2018, Statistics and Computing.

Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media

Assyr Abdulle, Ondrej Budác, A. Abdulle, 2013, ENUMATH.

The finite element heterogeneous multiscale method: a computational strategy for multiscale PDEs

Assyr Abdulle, A. Abdulle, 2009 .

The heterogeneous multiscale method*

E Weinan, Assyr Abdulle, Eric Vanden-Eijnden, 2012, Acta Numerica.

An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media

Assyr Abdulle, Ondrej Budác, A. Abdulle, 2015, Multiscale Model. Simul..

Reduced basis techniques for multiscale methods

Assyr Abdulle, 2015 .

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

Assyr Abdulle, Ondrej Budác, Antoine Imboden, 2017, J. Comput. Phys..

Discontinuous Galerkin finite element heterogeneous multiscale method for advection–diffusion problems with multiple scales

Assyr Abdulle, Martin E. Huber, A. Abdulle, 2013, Numerische Mathematik.

Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects

Marcus J. Grote, Assyr Abdulle, Christian Stohrer, 2014, Multiscale Model. Simul..

A Priori and A Posteriori W1, INFINITY Error Analysis of a QC Method for Complex Lattices

Assyr Abdulle, Ping Lin, Alexander V. Shapeev, 2013, SIAM J. Numer. Anal..

On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM

Assyr Abdulle, A. Abdulle, 2005, Multiscale Model. Simul..

Erratum to ''A short and versatile finite element multiscale code for homogenization problems" (Comput. Methods Appl. Mech. Engrg. 198 (2009) 2839-2859)

Assyr Abdulle, Achim Nonnenmacher, 2010 .

Explicit stabilized multirate method for stiff differential equations.

Marcus J. Grote, Assyr Abdulle, Giacomo Rosilho de Souza, 2020 .

Multiscale methods for wave problems in heterogeneous media

Assyr Abdulle, Patrick Henning, A. Abdulle, 2016, INTERSPEECH 2017.

Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields pdf

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni, 2020, ArXiv.

MATHICSE Technical Report : Numerical homogenization and model order reduction for multiscale inverse problems

Assyr Abdulle, Andrea Di Blasio, 2016 .

Numerical homogenization method for parabolic advection–diffusion multiscale problems with large compressible flows

Assyr Abdulle, Martin E. Huber, A. Abdulle, 2017, Numerische Mathematik.

Second order Chebyshev methods based on orthogonal polynomials

Assyr Abdulle, Alexei A. Medovikov, A. Abdulle, 2001, Numerische Mathematik.

Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method pdf

Assyr Abdulle, Giacomo Rosilho de Souza, A. Abdulle, 2020, ArXiv.

Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces

Assyr Abdulle, Christoph Schwab, A. Abdulle, 2005, Multiscale Model. Simul..

A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations pdf

Assyr Abdulle, Giacomo Rosilho de Souza, 2020, ArXiv.

Stabilized multilevel Monte Carlo method for stiff stochastic differential equations

Assyr Abdulle, Adrian Blumenthal, 2013, J. Comput. Phys..

High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations

Assyr Abdulle, Konstantinos C. Zygalakis, David Cohen, 2012, SIAM J. Sci. Comput..

On heterogeneous coupling of multiscale methods for problems with and without scale separation

Assyr Abdulle, Orane Camille Jecker, A. Abdulle, 2017 .

Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales

Assyr Abdulle, 2012, Math. Comput..

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Assyr Abdulle, Patrick Henning, A. Abdulle, 2014, Math. Comput..

Stabilized explicit multirate methods for stiff differential equations pdf

Marcus J. Grote, Assyr Abdulle, Giacomo Rosilho de Souza, 2020, ArXiv.

A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems

Assyr Abdulle, Andrea Di Blasio, A. Abdulle, 2018, SIAM/ASA J. Uncertain. Quantification.

Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems

Assyr Abdulle, Gilles Vilmart, Martin E. Huber, 2015, Multiscale Model. Simul..

Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation

Assyr Abdulle, Yun Bai, Timothée Pouchon, 2013, ENUMATH.

Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales

Assyr Abdulle, Timoth'ee Pouchon, A. Abdulle, 2019, Found. Comput. Math..

Stabilized Multilevel Monte Carlo Method for Sti

Assyr Abdulle, Adrian Blumenthal, A. Abdulle, 2013 .

An Optimization Based Coupling Method for Multiscale Problems

Assyr Abdulle, Alexander V. Shapeev, Orane Jecker, 2016, Multiscale Model. Simul..

Numerical methods for stochastic partial differential equations with multiple scales

Grigorios A. Pavliotis, Assyr Abdulle, G. Pavliotis, 2011, J. Comput. Phys..

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Assyr Abdulle, Gilles Vilmart, A. Abdulle, 2013, Math. Comput..

Effective Models for Long Time Wave Propagation in Locally Periodic Media

Assyr Abdulle, Timothée Pouchon, A. Abdulle, 2018, SIAM J. Numer. Anal..

Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs

Assyr Abdulle, Andrea Barth, Christoph Schwab, 2013, Multiscale Model. Simul..

A parabolic local problem with exponential decay of the resonance error for numerical homogenization pdf

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni, 2020, ArXiv.

Numerical Methods for Multilattices

Assyr Abdulle, Ping Lin, Alexander V. Shapeev, 2011, Multiscale Model. Simul..

Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations

Assyr Abdulle, Gilles Vilmart, Ibrahim Almuslimani, 2017, SIAM/ASA J. Uncertain. Quantification.

Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity

Assyr Abdulle, Björn Engquist, B. Engquist, 2008, Multiscale Model. Simul..

Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems

Assyr Abdulle, Andrea Di Blasio, A. Abdulle, 2019, Multiscale Model. Simul..

A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media

Assyr Abdulle, Ondrej Budác, A. Abdulle, 2017, SIAM J. Sci. Comput..

An elliptic local problem with exponential decay of the resonance error for numerical homogenization pdf

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni, 2020, Multiscale Modeling & Simulation.

Fourth Order Chebyshev Methods with Recurrence Relation

Assyr Abdulle, A. Abdulle, 2001, SIAM J. Sci. Comput..

High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs

Assyr Abdulle, Konstantinos C. Zygalakis, Gilles Vilmart, 2014, SIAM J. Numer. Anal..

Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions pdf

Grigorios A. Pavliotis, Assyr Abdulle, Andrea Zanoni, 2021, ArXiv.

MATHICSE Technical Report: Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale

Grigorios A. Pavliotis, Assyr Abdulle, MATHICSE-Group, 2021 .

MATHICSE Technical Report : A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems

Assyr Abdulle, Giacomo Garegnani, MATHICSE-Group, 2021 .

Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs pdf

Assyr Abdulle, Charles-Edouard Br'ehier, Gilles Vilmart, 2021, ArXiv.

A probabilistic finite element method based on random meshes: Error estimators and Bayesian inverse problems pdf

Assyr Abdulle, Giacomo Garegnani, A. Abdulle, 2021, ArXiv.

A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations pdf

Assyr Abdulle, Giacomo Rosilho de Souza, 2021, Journal of Computational Physics.

Drift Estimation of Multiscale Diffusions Based on Filtered Data pdf

Grigorios A. Pavliotis, Assyr Abdulle, Andrew M. Stuart, 2021, Foundations of Computational Mathematics.

Chebyshev methods with discrete noise: the tau-ROCK methods

Assyr Abdulle, Yucheng Hu, Tiejun Li, 2010 .

On Roots and Error Constants of Optimal Stability Polynomials

Assyr Abdulle, A. Abdulle, 2000 .

Numerical homogenization methods for parabolic monotone problems

Assyr Abdulle, A. Abdulle, 2015, IEEE CSE 2016.

Finite difference heterogeneous multi-scale method for homogenization problems

E Weinan, Assyr Abdulle, E. Weinan, 2003 .

A posteriori error estimates in quantities of interest for the finite element heterogeneous multiscale method

Assyr Abdulle, Achim Nonnenmacher, A. Abdulle, 2013 .

Second weak order explicit stabilized methods for stiff stochastic differential equations

Assyr Abdulle, Konstantinos C. Zygalakis, Gilles Vilmart, 2012 .

Multiscale method based on discontinuous Galerkin methods for homogenization problems

Assyr Abdulle, A. Abdulle, 2008 .

Multiscale methods for advection-diffusion problems

Assyr Abdulle, A. Abdulle, 2005 .

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

Assyr Abdulle, Andrea Barth, Christoph Schwab, 2012 .

Adaptive reduced basis finite element heterogeneous multiscale method

Assyr Abdulle, Yun Bai, A. Abdulle, 2013 .

A short and versatile finite element multiscale code for homogenization problems

Assyr Abdulle, Achim Nonnenmacher, A. Abdulle, 2009 .

Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni, 2019, Comptes Rendus Mathematique.

A posteriori error analysis of the heterogeneous multiscale method for homogenization problems

Assyr Abdulle, Achim Nonnenmacher, A. Abdulle, 2009 .

Numerical Methods for Multiscale Problems

Assyr Abdulle, A. Abdulle, 2006 .

Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization

Assyr Abdulle, A. Abdulle, M. Huber, 2016 .

An offline–online homogenization strategy to solve quasilinear two‐scale problems at the cost of one‐scale problems

Assyr Abdulle, Gilles Vilmart, Yun Bai, 2014 .

Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems

Assyr Abdulle, A. Abdulle, M. Huber, 2016 .

Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations

Assyr Abdulle, Konstantinos C. Zygalakis, Gilles Vilmart, 2013 .

Adaptive finite element heterogeneous multiscale method for homogenization problems

Assyr Abdulle, Achim Nonnenmacher, A. Abdulle, 2011 .

FE heterogeneous multiscale method for long-time wave propagation

Marcus J. Grote, Assyr Abdulle, Christian Stohrer, 2013 .

Effective velocity for transport in heterogeneous compressible flows with mean drift

Sabine Attinger, Assyr Abdulle, S. Attinger, 2008 .

Homogenization method for transport of DNA particles in heterogeneous arrays

Sabine Attinger, Assyr Abdulle, S. Attinger, 2004 .

Analysis of the finite element heterogeneous multiscale method for nonmonotone elliptic homogenization problems

Assyr Abdulle, Gilles Vilmart, A. Abdulle, 2012 .

Homogenization-based Analysis of Quasicontinuum Method for Complex Crystals

Assyr Abdulle, Ping Lin, Alexander V. Shapeev, 2010 .

The role of numerical integration in numerical homogenization

Assyr Abdulle, A. Abdulle, 2015 .

Heterogeneous Multiscale Methods with Quadrilateral Finite Elements

Assyr Abdulle, A. Abdulle, 2006 .

Reduced basis heterogeneous multiscale methods

Assyr Abdulle, 2015 .

A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media

Assyr Abdulle, A. Abdulle, Ondrej Budáč, 2016 .

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

Assyr Abdulle, A. Abdulle, Ondrej Budáč, 2015 .

Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis

Assyr Abdulle, Gilles Vilmart, A. Abdulle, 2012 .

The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Assyr Abdulle, Gilles Vilmart, A. Abdulle, 2011 .