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2018 News Archive

April 10, 2018
Blanco-Silva co-authors paper in Journal of Rural Studies

Kevin J. Bennett, Matthew Yuen, and Francisco J. Blanco-Silva (IMI), published their paper "Geographic Differences in Recovery after the Great Recession" in the Journal of Rural Studies (Vol. 59, April 2018, Pages 111-117). For details, please visit: https://www.sciencedirect.com/science/article/pii/S0743016717305338

February 16, 2018
Pencho Petrushev is awarded a National Geospatial Agency grant

Pencho Petrushev (IMI) is awarded a five year National Geospatial-Intelligence Agency grant totaling $750,000 for his research on: Highly Effective Computational Methods in Geomagnetic Field Modeling.

"One of the main goals of this project is the development of an algorithm and software for fast and accurate evaluation of the elements of the Earth’s magnetic field represented in terms of high degree solid spherical or ellipsoidal harmonics at many scattered points in the space above the surface of the Earth. The aim is one to be able to evaluate these geomagnetic quantities in real time (on the fly) with minimum use of memory and with prescribed accuracy. To solve this problem we propose a method based on the “tensor product trigonometric needlets” introduced by the PI and his collaborators. This technology has already been substantially developed by the PI and his team while working on his NURI project “Highly Effective Compression and Evaluation of Geodetic Quantities” 2012–2017. The tensor product trigonometric needlets provide an effective tool for solution of the problem for memory efficient, fast and accurate evaluation of geomagnetic and gravimetric quantities due to their superb localization and compatibility with spherical and ellipsoidal harmonics. The software to be developed can be particularly very useful if installed on small portable devises.

The second core objective of this project is to develop an algorithm and software for efficient upward continuation of the Earth’s magnetic anomaly field to the space above the surface of the Earth. For this we intend to use the Magnetic Anomaly Map of North America that is currently available. For upward continuation we propose the utilization of solid spherical or ellipsoidal needlets. These are highly localized kernels on the sphere or ellipsoid which preserve the spherical or ellipsoid harmonics of a given degree and automatically extend to harmonic functions in the external space. Such needlets have already been successfully used by the PI and his collaborators for evaluation and reconstruction of bandlimited functions on the sphere. The proposed scheme will be capable to assimilate magnetic anomalies on locally available high resolution grids that require very high (up to 10,000) degree spherical/ellipsoidal harmonics.

A targeted application of the proposed above development of algorithms and software is to the problem for aerial navigation using the Earth’s magnetic anomaly field. Accurate navigation without the use of GPS is a challenging problem. Other alternative techniques have limitations. The availability of highly accurate magnetic anomaly maps opens the possibility for their use in navigation. Our intent is to develop such algorithms and software."

January 31, 2018
Kerkyacharian, Petrushev, and Xu publish article in IMI Preprint Series
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Gerard Kerkyacharian, Pencho Petrushev, and Yuan Xu published their article "Gaussian Bounds for the Weighted Heat Kernels on the Interval, Ball and Simplex" in the IMI Preprint Series (2018:01). Please see the link above to the full article and visit Preprints to see other articles in this series.

January 31, 2018
Kerkyacharian, Petrushev, and Xu publish article in IMI Preprint Series
Download Preprint

Gerard Kerkyacharian, Pencho Petrushev, and Yuan Xu published their article "Gaussian Bounds for the Heat Kernels on the Ball and Simplex: Classical Approach" in the IMI Preprint Series (2018:02). Please see the link above to the full article and visit Preprints to see other articles in this series.

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