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*.

UN Sustainable Development Goal Categories

13. Climate Action
(OpenAlex)

Source: ORCID

Added: January 28, 2024

2022 journal article

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

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.

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.

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.

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.

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: ORCID

Added: January 24, 2024

2022 article

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

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).

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*.

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*.

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).

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.

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.

Source: ORCID

Added: January 23, 2024

2022 book

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.

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.

Sources: ORCID, Crossref

Added: November 1, 2023

2022 journal article

Weakly viscoelastic film flowing down a rotating inclined plane

*Physics of Fluids*, *34*(1).

Contributors: S. Chattopadhyay^{*} & A. Mukhopadhyay ^{*}

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*.

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).

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*.

Contributors: S. Chattopadhyay^{*} , G. Subedar ^{*}, A. Gaonkar ^{*}, A. Barua ^{*} & A. Mukhopadhyay ^{*}

Source: ORCID

Added: October 13, 2023

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