Projects per year

## Personal profile

### Research interests

My research involves interactions between partial differential equations (PDE), numerical schemes, applied probability, and computer science. I am interested in both the rigorous analysis of PDE, and the development and implementation of algorithms. It is exciting when mathematical analysis and insights can lead to more efficient algorithms. A continuing theme in my current research is finding continuum limits for discrete combinatorial problems. I am particularly interested when these continuum limits involve solving nonlinear PDEs, and have applications in science and engineering.

## Fingerprint The Fingerprint is created by mining the titles and abstracts of the person's research outputs and projects/funding awards to create an index of weighted terms from discipline-specific thesauri.

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## Projects 2016 2021

## Geometric Analysis for Classification and Reassembly of Broken Bones

Olver, P. J. & Calder, J. W.

9/1/18 → 8/31/21

Project: Research project

## Research Output 2009 2018

## Anomaly detection and classification for streaming data using pdes^{*}

Abbasi, B., Calder, J. W. & Oberman, A. M., Jan 1 2018, In : SIAM Journal on Applied Mathematics. 78, 2, p. 921-941 21 p.Research output: Contribution to journal › Article

## Robust variational segmentation of 3D bone CT data with thin cartilage interfaces

Gangwar, T., Calder, J. W., Takahashi, T., Bechtold, J. E. & Schillinger, D., Jul 1 2018, In : Medical Image Analysis. 47, p. 95-110 16 p.Research output: Contribution to journal › Article

## Numerical schemes and rates of convergence for the Hamilton–Jacobi equation continuum limit of nondominated sorting

Calder, J. W., Dec 1 2017, In : Numerische Mathematik. 137, 4, p. 819-856 38 p.Research output: Contribution to journal › Article

## A direct verification argument for the Hamilton–Jacobi equation continuum limit of nondominated sorting

Calder, J., Aug 1 2016, In : Nonlinear Analysis, Theory, Methods and Applications. 141, p. 88-108Research output: Contribution to journal › Article

## Multicriteria Similarity-Based Anomaly Detection Using Pareto Depth Analysis

Hsiao, K., Xu, K. S., Calder, J. & Hero, A. O., Jun 1 2016, In : IEEE Transactions on Neural Networks and Learning Systems. 27, 6, p. 1307-1321Research output: Contribution to journal › Article