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- Ian H. Sloan

Mathematics

Australia

2023

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

Mathematics
D-index
60
Citations
12,108
300
World Ranking
388
National Ranking
7

2023 - Research.com Mathematics in Australia Leader Award

2022 - Research.com Mathematics in Australia Leader Award

2013 - Fellow of the American Mathematical Society

2009 - SIAM Fellow For advances in quadrature, integral equations, and approximation of functions.

2001 - Thomas Ranken Lyle Medal, Australian Academy of Science

1993 - Fellow of the Australian Academy of Science

- Mathematical analysis
- Quantum mechanics
- Statistics

His scientific interests lie mostly in Mathematical analysis, Discrete mathematics, Quasi-Monte Carlo method, Combinatorics and Lattice. His Mathematical analysis study frequently draws parallels with other fields, such as Finite element method. The Discrete mathematics study combines topics in areas such as Dimension, Bounded function, Uniform boundedness, Polynomial interpolation and Sobolev space.

The various areas that he examines in his Quasi-Monte Carlo method study include Quantum Monte Carlo, Monte Carlo integration and Dynamic Monte Carlo method. His study in the field of Degree and Unit sphere is also linked to topics like Function representation. His Lattice research is multidisciplinary, incorporating elements of Periodic function, Unit cube, Numerical analysis and Applied mathematics.

- Lattice Methods for Multiple Integration (655 citations)
- When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals? (551 citations)
- High-dimensional integration: The quasi-Monte Carlo way (400 citations)

Ian H. Sloan mainly focuses on Mathematical analysis, Applied mathematics, Combinatorics, Discrete mathematics and Integral equation. In his study, Discretization is inextricably linked to Finite element method, which falls within the broad field of Mathematical analysis. His Applied mathematics research also works with subjects such as

- Quasi-Monte Carlo method together with Monte Carlo integration,
- Random field that connect with fields like Circulant matrix and Isotropy.

His research integrates issues of Numerical integration and Upper and lower bounds in his study of Combinatorics. The concepts of his Discrete mathematics study are interwoven with issues in Dimension, Lattice, Bounded function, Sobolev space and Function. His study in Integral equation is interdisciplinary in nature, drawing from both Singularity and Logarithm.

- Mathematical analysis (37.42%)
- Applied mathematics (18.40%)
- Combinatorics (16.56%)

- Applied mathematics (18.40%)
- Random field (6.44%)
- Quasi-Monte Carlo method (11.96%)

His primary scientific interests are in Applied mathematics, Random field, Quasi-Monte Carlo method, Mathematical analysis and Sobolev space. His research in Applied mathematics intersects with topics in Uncertainty quantification, Covariance matrix, Function and Elliptic partial differential equation. His Quasi-Monte Carlo method research is multidisciplinary, incorporating perspectives in Monte Carlo integration, Dynamic Monte Carlo method and Finite element method.

Ian H. Sloan incorporates Mathematical analysis and Regularization perspectives on support vector machines in his studies. His Sobolev space study incorporates themes from Smoothing, Smoothness, Discrete mathematics and Series. His work on Existential quantification and Unit cube as part of general Discrete mathematics study is frequently connected to High dimensional, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

- Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems (46 citations)
- Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields (23 citations)
- Random Point Sets on the Sphere—Hole Radii, Covering, and Separation (22 citations)

- Mathematical analysis
- Quantum mechanics
- Statistics

His primary areas of study are Applied mathematics, Random field, Mathematical analysis, Quasi-Monte Carlo method and Unit sphere. Ian H. Sloan studied Applied mathematics and Covariance that intersect with Uncertainty quantification. His Random field research incorporates elements of Circulant matrix, Numerical analysis, Eigenvalues and eigenvectors and Gaussian.

He has included themes like Isotropy and Radius in his Mathematical analysis study. His Quasi-Monte Carlo method study integrates concerns from other disciplines, such as Discretization and Numerical integration. His Unit sphere study combines topics from a wide range of disciplines, such as Pareto principle, Bounded function and Sparse regularization.

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.

Lattice Methods for Multiple Integration

Ian H. Sloan.

**(1994)**

881 Citations

Lattice Methods for Multiple Integration

Ian H. Sloan.

**(1994)**

881 Citations

When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

Ian H Sloan;Henryk Woźniakowski.

Journal of Complexity **(1998)**

741 Citations

When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

Ian H Sloan;Henryk Woźniakowski.

Journal of Complexity **(1998)**

741 Citations

High-dimensional integration: The quasi-Monte Carlo way

Josef Dick;Frances Y. Kuo;Ian H. Sloan.

Acta Numerica **(2013)**

622 Citations

High-dimensional integration: The quasi-Monte Carlo way

Josef Dick;Frances Y. Kuo;Ian H. Sloan.

Acta Numerica **(2013)**

622 Citations

Extremal systems of points and numerical integration on the sphere

Ian H. Sloan;Robert S. Womersley.

Advances in Computational Mathematics **(2004)**

261 Citations

Extremal systems of points and numerical integration on the sphere

Ian H. Sloan;Robert S. Womersley.

Advances in Computational Mathematics **(2004)**

261 Citations

On integral equations of the first kind with logarithmic kernels

Y. Yan;I.H. Sloan.

Journal of Integral Equations and Applications **(1988)**

249 Citations

On integral equations of the first kind with logarithmic kernels

Y. Yan;I.H. Sloan.

Journal of Integral Equations and Applications **(1988)**

249 Citations

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