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 2020

## Research Output 2009 2018

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

Gangwar, T., Calder, J., 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. 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

## A PDE-based Approach to Nondominated Sorting

Calder, J., Esedoḡlu, S. & Hero, A. O. Jan 1 2015 In : SIAM Journal on Numerical Analysis. 53, 1, p. 82-104Research output: Contribution to journal › Article