World's Best Scientists 2026 revealed!
Michael Griebel

Michael Griebel

D-Index & Metrics

Mathematics

D-Index
54
Citations
11745
World Ranking
835
National Ranking
39

Engineering and Technology

D-Index
58
Citations
13784
World Ranking
2462
National Ranking
75

Overview

Michael Griebel is affiliated with the University of Bonn in Germany and has an extensive publication record in the fields of Mathematics and Engineering. Their research primarily focuses on Numerical Analysis, Computational Mechanics, Statistics, Probability and Uncertainty, Computational Theory and Mathematics, and Mechanics of Materials.

The scientist's work encompasses key topics including:

  • Advanced Numerical Methods in Computational Mathematics
  • Mathematical Approximation and Integration
  • Probabilistic and Robust Engineering Design
  • Numerical methods in engineering
  • Matrix Theory and Algorithms
  • Sparse and Compressive Sensing Techniques
  • Tensor decomposition and applications

Recent papers by Michael Griebel include:

  • "Analysis of Tensor Approximation Schemes for Continuous Functions," 2021, published in Foundations of Computational Mathematics
  • "Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness," 2023, published in Mathematics of Computation
  • "A DIMENSION-ADAPTIVE COMBINATION TECHNIQUE FOR UNCERTAINTY QUANTIFICATION," 2023, published in International Journal for Uncertainty Quantification
  • "Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains," 2020, published in SIAM Journal on Numerical Analysis
  • "Deep Neural Networks and PIDE Discretizations," 2022, published in SIAM Journal on Mathematics of Data Science (co-authored by Bastian Bohn)

Michael Griebel has frequently collaborated with several researchers, including:

  • Peter Oswald
  • Bastian Bohn
  • Jochen Garcke
  • Helmut Harbrecht
  • Marc Alexander Schweitzer

The scientist has contributed to major publication venues such as:

  • arXiv (Cornell University)
  • International Journal for Uncertainty Quantification
  • Foundations of Computational Mathematics
  • Mathematics of Computation
  • SIAM Journal on Mathematics of Data Science

In addition to articles, Michael Griebel has authored books published by prominent publishers. These include:

  • Algorithmic Mathematics in Machine Learning, published by Society for Industrial and Applied Mathematics in 2024
  • Hilbert Space Splittings and Iterative Methods, published by Springer Nature in 2024

Best Publications

  • Numerical integration using sparse grids

    Thomas Gerstner;Michael Griebel

  • Molecular Simulation of the Influence of Chemical Cross-Links on the Shear Strength of Carbon Nanotube-Polymer Interfaces

    S. J. V. Frankland;A. Caglar;D. W. Brenner;M. Griebel

  • Lecture Notes in Computational Science and Engineering

    M. Griebel;D. Roose;T. Schlick;A. Tveito

  • Numerical Simulation in Fluid Dynamics: A Practical Introduction

    Michael Griebel;Thomas Dornseifer;Tilman Neunhoeffer

  • Dimension-adaptive tensor-product quadrature

    Thomas Gerstner;Michael Griebel

  • Acta Numerica 2004: Sparse grids

    Hans-Joachim Bungartz;Michael Griebel

  • Molecular dynamics simulations of the elastic moduli of polymer–carbon nanotube composites

    Michael Griebel;Jan Hamaekers

  • On the abstract theory of additive and multiplicative Schwarz algorithms

    M. Griebel;P. Oswald

  • Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications

    Michael Griebel;Stephan Knapek;Gerhard Zumbusch

  • On a Constructive Proof of Kolmogorov’s Superposition Theorem

    Jürgen Braun;Michael Griebel

  • Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems

    Michael Griebel;Peter Oswald

  • Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences

    M. Griebel

  • A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs

    Michael Griebel;Marc Alexander Schweitzer

  • Meshfree methods for partial differential equations

    Michael Griebel;Marc Alexander Schweitzer

  • A Molecular Dynamic Study of Cementitious Calcium Silicate Hydrate (C–S–H) Gels

    Jorge S. Dolado;Michael Griebel;Jan Hamaekers

  • The Problem of Selecting the Shape Functions for a p-Type Finite Element

    Ivo M Babuska;M. Griebel;J. Pitkäranta;J. Pitkäranta

  • A Particle-Partition of Unity Method Part V: Boundary Conditions

    M. Griebel;M. A. Schweitzer

  • Meshfree Methods for Partial Differential Equations IV

    Michael Griebel;Marc Alexander Schweitzer

  • Data mining with sparse grids

    J. Garcke;M. Griebel;M. Thess

  • Dimension-wise integration of high-dimensional functions with applications to finance

    Michael Griebel;Markus Holtz

  • Optimized Tensor-Product Approximation Spaces

    M. Griebel;S. Knapek

Frequent Co-Authors

Dirk Roose
Dirk Roose KU Leuven
Tamar Schlick
Tamar Schlick New York University
Helmut Harbrecht
Helmut Harbrecht University of Basel
Martin Rumpf
Martin Rumpf University of Bonn
Alexandru Telea
Alexandru Telea Utrecht University
Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Ian H. Sloan
Ian H. Sloan University of New South Wales
Markus M. Nöthen
Markus M. Nöthen University Hospital Bonn

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