World's Best Scientists 2026 revealed!

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Mathematics

D-Index
31
Citations
4028
World Ranking
3340
National Ranking
59

Overview

Assyr Abdulle was affiliated with the École Polytechnique Fédérale de Lausanne in Switzerland. Their research contributions spanned multiple fields including Engineering, Computer Science, and Mathematics, with a strong focus on Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis, Mechanics of Materials, and Mathematical Physics.

Their work addressed a variety of advanced topics such as Advanced Mathematical Modeling in Engineering, Advanced Numerical Methods in Computational Mathematics, Composite Material Mechanics, Numerical methods for differential equations, Differential Equations and Numerical Methods, Numerical methods in inverse problems, and Probabilistic and Robust Engineering Design.

Among recent publications authored by Abdulle were:

  • "A probabilistic finite element method based on random meshes: A posteriori error estimators and Bayesian inverse problems," 2021, Computer Methods in Applied Mechanics and Engineering
  • "Explicit stabilized multirate method for stiff differential equations," 2022, Mathematics of Computation
  • "Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions," 2022, Statistics and Computing
  • "Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs," 2021, IMA Journal of Numerical Analysis
  • "An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization," 2023, Multiscale Modeling and Simulation

They frequently collaborated with colleagues including Giacomo Rosilho de Souza, the MATHICSE-Group, Doghonay Arjmand, Edoardo Paganoni, and Giacomo Garegnani.

Their publications appeared regularly in outlets such as Infoscience (Ecole Polytechnique Fédérale de Lausanne), arXiv (Cornell University), Journal of Computational Physics, Foundations of Computational Mathematics, and Computer Methods in Applied Mechanics and Engineering.

Best Publications

  • The heterogeneous multiscale method

    Assyr Abdulle;Weinan E;Weinan E;Björn Engquist;Eric Vanden-Eijnden

  • Fourth Order Chebyshev Methods with Recurrence Relation

    Assyr Abdulle

  • Second order Chebyshev methods based on orthogonal polynomials

    Assyr Abdulle;Alexei A. Medovikov

  • On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM

    Assyr Abdulle

  • Finite difference heterogeneous multi-scale method for homogenization problems

    Assyr Abdulle;E. Weinan

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

    Assyr Abdulle

  • Finite element heterogeneous multiscale method for the wave equation

    Assyr Abdulle;Marcus J. Grote

  • High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs

    Assyr Abdulle;Gilles Vilmart;Konstantinos C. Zygalakis

  • Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces

    Assyr Abdulle;Christoph Schwab

  • S-ROCK methods for stiff Ito SDEs

    Assyr Abdulle;Tiejun Li

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

    Assyr Abdulle;Yun Bai

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

    Assyr Abdulle;David Cohen;Gilles Vilmart;Konstantinos C. Zygalakis

  • A short and versatile finite element multiscale code for homogenization problems

    Assyr Abdulle;Achim Nonnenmacher

  • S-ROCK: Chebyshev Methods for Stiff Stochastic Differential Equations

    Assyr Abdulle;Stephane Cirilli

  • ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY

    Assyr Abdulle

  • Effectiveness of implicit methods for stiff stochastic differential equations

    Tiejun Li;Assyr Abdulle;Weinan E.

  • Adaptive finite element heterogeneous multiscale method for homogenization problems

    Assyr Abdulle;Achim Nonnenmacher

  • Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics

    Assyr Abdulle;Gilles Vilmart;Konstantinos C. Zygalakis

  • Adaptive reduced basis finite element heterogeneous multiscale method

    Assyr Abdulle;Yun Bai

  • Finite element heterogeneous multiscale methods with near optimal computational complexity

    Assyr Abdulle;Bjorn Engquist

  • Numerical Mathematics and Advanced Applications - ENUMATH 2013

    Assyr Abdulle;Simone Deparis;Daniel Kressner;Fabio Nobile

Frequent Co-Authors

Grigorios A. Pavliotis
Grigorios A. Pavliotis Imperial College London
Sabine Attinger
Sabine Attinger Helmholtz Centre for Environmental Research
Weinan E
Weinan E Princeton University
Fabio Nobile
Fabio Nobile École Polytechnique Fédérale de Lausanne
Daniel Kressner
Daniel Kressner École Polytechnique Fédérale de Lausanne
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Björn Engquist
Björn Engquist The University of Texas at Austin
Eric Vanden-Eijnden
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences

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Best Scientists Citing Assyr Abdulle