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 2019

## Accelerated Variational PDEs for Efficient Solution of Regularized Inversion Problems

Benyamin, M., Calder, J., Sundaramoorthi, G. & Yezzi, A., Jan 1 2019, (Accepted/In press) In : Journal of Mathematical Imaging and Vision.Research output: Contribution to journal › Article

## PDE acceleration: a convergence rate analysis and applications to obstacle problems

Calder, J. & Yezzi, A., Dec 1 2019, In : Research in Mathematical Sciences. 6, 4, 35.Research output: Contribution to journal › Article

## Properly-Weighted Graph Laplacian for Semi-supervised Learning

Calder, J. & Slepčev, D., Jan 1 2019, (Accepted/In press) In : Applied Mathematics and Optimization.Research output: Contribution to journal › Article

## The game theoretic p-Laplacian and semi-supervised learning with few labels

Calder, J., Jan 2019, In : Nonlinearity. 32, 1, p. 301-330 30 p.Research output: Contribution to journal › Article

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

Abbasi, B., Calder, J. & 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