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- Michael Griebel

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
52
Citations
11,256
165
World Ranking
1314
National Ranking
38

Mathematics
D-index
51
Citations
9,790
193
World Ranking
749
National Ranking
37

- Mathematical analysis
- Statistics
- Algebra

Michael Griebel mainly investigates Discretization, Sparse grid, Applied mathematics, Mathematical analysis and Partial differential equation. His Discretization study incorporates themes from Algorithm, Finite difference, Computer simulation and Effective dimension. He studied Sparse grid and Numerical integration that intersect with Finance and Special case.

His studies deal with areas such as Logarithm, Finite element method, Norm and Solver, Mathematical optimization as well as Applied mathematics. His Mathematical analysis research incorporates themes from Pure mathematics, Tensor product and Rate of convergence. Michael Griebel has included themes like Myrinet, Meshfree methods, Numerical analysis and Finite difference method, Calculus in his Partial differential equation study.

- Numerical integration using sparse grids (742 citations)
- Molecular Simulation of the Influence of Chemical Cross-Links on the Shear Strength of Carbon Nanotube-Polymer Interfaces (545 citations)
- Dimension-adaptive tensor-product quadrature (440 citations)

Sparse grid, Applied mathematics, Discretization, Mathematical analysis and Grid are his primary areas of study. His Sparse grid research integrates issues from Sparse approximation, Curse of dimensionality and Tensor product. His Applied mathematics study combines topics from a wide range of disciplines, such as Subspace topology, Finite element method, Partition of unity, Condition number and Solver.

His work in Discretization addresses subjects such as Finite difference, which are connected to disciplines such as Finite difference method. Michael Griebel does research in Mathematical analysis, focusing on Boundary value problem specifically. In Grid, Michael Griebel works on issues like Multigrid method, which are connected to Parallel computing and Basis function.

- Sparse grid (27.09%)
- Applied mathematics (21.91%)
- Discretization (21.12%)

- Applied mathematics (21.91%)
- Sparse grid (27.09%)
- Mathematical analysis (17.13%)

His primary areas of investigation include Applied mathematics, Sparse grid, Mathematical analysis, Hilbert space and Computer simulation. Michael Griebel has researched Applied mathematics in several fields, including Basis, Estimator, Parametric statistics and Hierarchy. His study in Sparse grid is interdisciplinary in nature, drawing from both Discrete mathematics, Curse of dimensionality, Grid, Discretization and Product.

His study looks at the relationship between Grid and fields such as Algorithm, as well as how they intersect with chemical problems. As a part of the same scientific family, he mostly works in the field of Discretization, focusing on Supercomputer and, on occasion, Reduction. His study in the field of Numerical integration also crosses realms of Gauss–Jacobi quadrature, Gauss–Kronrod quadrature formula and Tanh-sinh quadrature.

- Lecture Notes in Computational Science and Engineering (169 citations)
- Approximation of bi-variate functions: singular value decomposition versus sparse grids (36 citations)
- Fast Discrete Fourier Transform on Generalized Sparse Grids (31 citations)

- Mathematical analysis
- Statistics
- Algebra

Michael Griebel mostly deals with Sparse grid, Mathematical analysis, Discretization, Omega and Applied mathematics. His research integrates issues of Nonlinear dimensionality reduction, Dimensionality reduction, Curse of dimensionality, Grid and Exascale computing in his study of Sparse grid. His biological study spans a wide range of topics, including Preconditioner, Subspace topology, Mathematical optimization and Scaling.

His work in the fields of Mathematical analysis, such as Reproducing kernel Hilbert space and Function space, overlaps with other areas such as Gauss–Jacobi quadrature, Gaussian quadrature and Gauss–Kronrod quadrature formula. The study incorporates disciplines such as Supercomputer, Scalability and Extrapolation in addition to Discretization. His work carried out in the field of Applied mathematics brings together such families of science as Space, Fourier analysis, Tensor product and Discrete Fourier transform.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Numerical integration using sparse grids

Thomas Gerstner;Michael Griebel.

Numerical Algorithms **(1998)**

1157 Citations

Numerical integration using sparse grids

Thomas Gerstner;Michael Griebel.

Numerical Algorithms **(1998)**

1157 Citations

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.

Journal of Physical Chemistry B **(2002)**

833 Citations

Lecture Notes in Computational Science and Engineering

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

**(2015)**

833 Citations

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.

Journal of Physical Chemistry B **(2002)**

833 Citations

Lecture Notes in Computational Science and Engineering

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

**(2015)**

833 Citations

Numerical Simulation in Fluid Dynamics: A Practical Introduction

Michael Griebel;Thomas Dornseifer;Tilman Neunhoeffer.

**(1997)**

744 Citations

Numerical Simulation in Fluid Dynamics: A Practical Introduction

Michael Griebel;Thomas Dornseifer;Tilman Neunhoeffer.

**(1997)**

744 Citations

Dimension-adaptive tensor-product quadrature

Thomas Gerstner;Michael Griebel.

Computing **(2003)**

697 Citations

Dimension-adaptive tensor-product quadrature

Thomas Gerstner;Michael Griebel.

Computing **(2003)**

697 Citations

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