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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.

Continuum Limit Mathematics
Sorting Engineering & Materials Science
Partial differential equation Mathematics
Numerical Scheme Mathematics
Streaming Data Mathematics
Anomaly Detection Mathematics
Cartilage Engineering & Materials Science
Hamilton-Jacobi Equation Mathematics

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Projects 2016 2021

bone
analysis

Calder: Corning

Calder, J. W.

CORNING INC

5/1/184/30/19

Project: Research project

Monotone Scheme
Semi-supervised Learning
Scaling Limit
Nonlinear Partial Differential Equations
Numerical Scheme
Continuum Limit
Nonlinear Partial Differential Equations
Sorting

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 journalArticle

Streaming Data
Anomaly Detection
Partial differential equations
Sorting
Partial differential equation
1 Citations

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 journalArticle

Cartilage
Bone
Bone and Bones
Intervertebral Disc
Automation
1 Citations
Continuum Limit
Hamilton-Jacobi Equation
Sorting
Numerical Scheme
Rate of Convergence
3 Citations

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. 1307-1321

Research output: Contribution to journalArticle