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
Numerical Scheme Mathematics
Hamilton-Jacobi Equation Mathematics
Sorting Mathematics
Rate of Convergence Mathematics
Partial differential equation Mathematics
Applied Probability Mathematics
Nonlinear PDE Mathematics

Projects 2016 2020

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

Research Output 2009 2017

Continuum Limit
Hamilton-Jacobi Equation
Sorting
Numerical Scheme
Rate of Convergence
2 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: Research - peer-reviewArticle

4 Citations

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. 82-104

Research output: Research - peer-reviewArticle

4 Citations

Directed Last Passage Percolation with Discontinuous Weights

Calder, J. Feb 1 2015 In : Journal of Statistical Physics. 158, 4, p. 903-949

Research output: Research - peer-reviewArticle