David M. Bortz

According to our database, David M. Bortz authored at least 18 papers between 2011 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling.

Christophe Bonneville, Xiaolong He, April Tran, Jun Sur Richard Park, William Fries, Daniel A. Messenger, Siu Wun Cheung, Yeonjong Shin, David M. Bortz, Debojyoti Ghosh, Jiun-Shyan Chen, Jonathan L. Belof, Youngsoo Choi

CoRR, 2024

2023

Weak-Form Latent Space Dynamics Identification.

April Tran, Xiaolong He, Daniel A. Messenger, Youngsoo Choi, David M. Bortz

CoRR, 2023

Coarse-Graining Hamiltonian Systems Using WSINDy.

Daniel A. Messenger, Joshua W. Burby, David M. Bortz

CoRR, 2023

Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear Dynamics.

David M. Bortz, Daniel A. Messenger, Vanja Dukic

CoRR, 2023

2022

Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices.

Jacqueline Wentz, Jeffrey C. Cameron, David M. Bortz

SIAM J. Matrix Anal. Appl., 2022

Asymptotic consistency of the WSINDy algorithm in the limit of continuum data.

Daniel A. Messenger, David M. Bortz

CoRR, 2022

Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Population.

Daniel A. Messenger, Graycen E. Wheeler, Xuedong Liu, David M. Bortz

CoRR, 2022

Online Weak-form Sparse Identification of Partial Differential Equations.

Daniel A. Messenger, Emiliano Dall'Anese, David M. Bortz

Proceedings of the Mathematical and Scientific Machine Learning, 2022

2021

Boundedness of a Class of Spatially Discrete Reaction-Diffusion Systems.

Jacqueline M. Wentz, David M. Bortz

SIAM J. Appl. Math., 2021

Weak SINDy: Galerkin-Based Data-Driven Model Selection.

Daniel A. Messenger, David M. Bortz

Multiscale Model. Simul., 2021

Weak SINDy for partial differential equations.

Daniel A. Messenger, David M. Bortz

J. Comput. Phys., 2021

Learning Mean-Field Equations from Particle Data Using WSINDy.

Daniel A. Messenger, David M. Bortz

CoRR, 2021

2019

Sensitivity and Bifurcation Analysis of a Differential-Algebraic Equation Model for a Microbial Electrolysis Cell.

Harry J. Dudley, Lu Lu, Zhiyong Jason Ren, David M. Bortz

SIAM J. Appl. Dyn. Syst., 2019

2018

Investigation of a Structured Fisher's Equation with Applications in Biochemistry.

John T. Nardini, David M. Bortz

SIAM J. Appl. Math., 2018

A data-driven approach to artificial pancreas verification and synthesis.

Taisa Kushner, David M. Bortz, David M. Maahs, Sriram Sankaranarayanan

Proceedings of the 9th ACM/IEEE International Conference on Cyber-Physical Systems, 2018

2016

Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM.

Jay A. Stotsky, Jason F. Hammond, Leonid Pavlovsky, Elizabeth J. Stewart, John G. Younger, Michael J. Solomon, David M. Bortz

J. Comput. Phys., 2016

2013

Spatially Heterogeneous Biofilm Simulations using an Immersed Boundary Method with Lagrangian Nodes Defined by Bacterial Locations

Jason F. Hammond, Elizabeth J. Stewart, John G. Younger, Michael J. Solomon, David M. Bortz

CoRR, 2013

2011

Analytical solutions to Fisher's equation with time-variable coefficients.

Jason F. Hammond, David M. Bortz

Appl. Math. Comput., 2011