David M. Bortz

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 20

Top Topics

Numerical Scheme

Partial Differential Equations

Ambrosio Tortorelli

Top Venues

J. Comput. Phys.

SIAM J. Appl. Math.

Publications

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
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling. CoRR (2024)
Xiaolong He, April Tran, David M. Bortz, Youngsoo Choi
Physics-informed active learning with simultaneous weak-form latent space dynamics identification. CoRR (2024)
David M. Bortz, Daniel A. Messenger, Vanja. Dukic
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear Dynamics. CoRR (2023)
April Tran, Xiaolong He, Daniel A. Messenger, Youngsoo Choi, David M. Bortz
Weak-Form Latent Space Dynamics Identification. CoRR (2023)
Daniel A. Messenger, Joshua W. Burby, David M. Bortz
Coarse-Graining Hamiltonian Systems Using WSINDy. CoRR (2023)
Daniel A. Messenger, Emiliano Dall'Anese, David M. Bortz
Online Weak-form Sparse Identification of Partial Differential Equations. CoRR (2022)
Jacqueline Wentz, Jeffrey C. Cameron, David M. Bortz
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices. SIAM J. Matrix Anal. Appl. 43 (3) (2022)
Daniel A. Messenger, David M. Bortz
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data. CoRR (2022)
Daniel A. Messenger, Emiliano Dall'Anese, David M. Bortz
Online Weak-form Sparse Identification of Partial Differential Equations. MSML (2022)
Daniel A. Messenger, Graycen E. Wheeler, Xuedong Liu, David M. Bortz
Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Population. CoRR (2022)
Daniel A. Messenger, David M. Bortz
Weak SINDy for partial differential equations. J. Comput. Phys. 443 (2021)
Daniel A. Messenger, David M. Bortz
Learning Mean-Field Equations from Particle Data Using WSINDy. CoRR (2021)
Jacqueline M. Wentz, David M. Bortz
Boundedness of a Class of Spatially Discrete Reaction-Diffusion Systems. SIAM J. Appl. Math. 81 (5) (2021)
Daniel A. Messenger, David M. Bortz
Weak SINDy: Galerkin-Based Data-Driven Model Selection. Multiscale Model. Simul. 19 (3) (2021)
Daniel A. Messenger, David M. Bortz
Weak SINDy For Partial Differential Equations. CoRR (2020)
Daniel A. Messenger, David M. Bortz
Weak SINDy: Galerkin-Based Data-Driven Model Selection. CoRR (2020)
Harry J. Dudley, Lu Lu, Zhiyong Jason Ren, David M. Bortz
Sensitivity and Bifurcation Analysis of a Differential-Algebraic Equation Model for a Microbial Electrolysis Cell. SIAM J. Appl. Dyn. Syst. 18 (2) (2019)
John T. Nardini, David M. Bortz
Investigation of a Structured Fisher's Equation with Applications in Biochemistry. SIAM J. Appl. Math. 78 (3) (2018)
Taisa Kushner, David M. Bortz, David M. Maahs, Sriram Sankaranarayanan
A data-driven approach to artificial pancreas verification and synthesis. ICCPS (2018)
Jay A. Stotsky, Jason F. Hammond, Leonid Pavlovsky, Elizabeth J. Stewart, John G. Younger, Michael J. Solomon, David M. Bortz
Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM. J. Comput. Phys. 317 (2016)
Jason F. Hammond, Elizabeth J. Stewart, John G. Younger, Michael J. Solomon, David M. Bortz
Spatially Heterogeneous Biofilm Simulations using an Immersed Boundary Method with Lagrangian Nodes Defined by Bacterial Locations CoRR (2013)
Jason F. Hammond, David M. Bortz
Analytical solutions to Fisher's equation with time-variable coefficients. Appl. Math. Comput. 218 (6) (2011)