Works Published in 2022

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Displaying works 1 - 20 of 172 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2022 chapter

Local Versus Global Distances for Zigzag and Multi-Parameter Persistence Modules

In Association for Women in Mathematics Series.

By: E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

co-author countries: United States of America 🇺🇸
Source: ORCID
Added: January 28, 2024

2022 journal article

GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems

co-author countries: United States of America 🇺🇸
Sources: ORCID, Crossref
Added: January 24, 2024

2022 journal article

Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks

Analysis and Applications, 20(01), 73–119.

By: Y. Shin*

co-author countries: United States of America 🇺🇸
Source: ORCID
Added: January 24, 2024

2022 journal article

Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions

Neurocomputing, 468, 165–180.

co-author countries: United States of America 🇺🇸
Source: ORCID
Added: January 24, 2024

2022 journal article

Approximation rates of DeepONets for learning operators arising from advection–diffusion equations

Neural Networks, 153, 411–426.

co-author countries: United States of America 🇺🇸
Source: ORCID
Added: January 24, 2024

2022 journal article

Active Neuron Least Squares: A training method for multivariate rectified neural networks

SIAM Journal on Scientific Computing, 44(4), A2253–A2275.

By: M. Ainsworth & Y. Shin*

Source: ORCID
Added: January 24, 2024

2022 article

The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation

By: A. Abhishek, T. Le*, L. Nguyen & T. Khan

Source: ORCID
Added: January 23, 2024

2022 journal article

The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem

Journal of Scientific Computing, 91(3).

By: T. Le* & L. Nguyen*

co-author countries: United States of America 🇺🇸

Contributors: T. Le* & L. Nguyen*

Source: ORCID
Added: January 23, 2024

2022 article

The Carleman convexification method for Hamilton-Jacobi equations on the whole space

ArXiv.

By: H. Le, T. Le* & L. Nguyen

Contributors: H. Le, T. Le* & L. Nguyen

Source: ORCID
Added: January 23, 2024

2022 article

Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method

ArXiv.

By: T. Le*

Contributors: T. Le*

Source: ORCID
Added: January 23, 2024

2022 journal article

Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data

Inverse Problems, 38(4).

By: T. Le*, M. Klibanov, L. Nguyen, A. Sullivan & L. Nguyen

Contributors: T. Le*, M. Klibanov, L. Nguyen, A. Sullivan & L. Nguyen

Source: ORCID
Added: January 23, 2024

2022 journal article

A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data

Journal of Inverse and Ill-Posed Problems, 30(2), 265–286.

co-author countries: United States of America 🇺🇸

Contributors: T. Le* & L. Nguyen*

Source: ORCID
Added: January 23, 2024

2022 journal article

A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications

Computers & Mathematics with Applications, 125, 13–24.

co-author countries: United States of America 🇺🇸
Source: ORCID
Added: January 23, 2024

2022 book

Integration in Finite Terms: Fundamental Sources

Michael Singer

Ed(s): C. Raab & M. Singer

Source: Crossref
Added: November 8, 2023

2022 conference paper

Solving Linear Systems on a GPU with Hierarchically Off-Diagonal Low-Rank Approximations

SC22: International Conference for High Performance Computing, Networking, Storage and Analysis, 1–15.

co-author countries: United States of America 🇺🇸

Event: SC22: International Conference for High Performance Computing, Networking, Storage and Analysis

Sources: ORCID, Crossref
Added: November 1, 2023

2022 journal article

Overlapping Domain Decomposition Preconditioner for Integral Equations

SIAM Journal on Scientific Computing, 44(6), A3617–A3644.

By: C. Chen* & G. Biros

Sources: ORCID, Crossref
Added: November 1, 2023

2022 journal article

Weakly viscoelastic film flowing down a rotating inclined plane

Physics of Fluids, 34(1).

co-author countries: India 🇮🇳
Source: ORCID
Added: October 13, 2023

2022 journal article

Falling liquid films on a slippery substrate with variable fluid properties

International Journal of Non-Linear Mechanics, 147.

co-author countries: India 🇮🇳

Contributors: S. Chattopadhyay*, P. Boragunde*, A. Gaonkar*, A. Barua* & A. Mukhopadhyay*

Source: ORCID
Added: October 13, 2023

2022 chapter

Effects of Strong Viscosity with Variable Fluid Properties on Falling Film Instability

In NODYCON Conference Proceedings Series (pp. 75–85).

co-author countries: India 🇮🇳
Source: ORCID
Added: October 13, 2023

2022 journal article

Effect of odd-viscosity on the dynamics and stability of a thin liquid film flowing down on a vertical moving plate

International Journal of Non-Linear Mechanics, 140.

co-author countries: India 🇮🇳
Source: ORCID
Added: October 13, 2023

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