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.
2022 journal article
GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems
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.
2022 journal article
Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions
Neurocomputing, 468, 165–180.
2022 journal article
Approximation rates of DeepONets for learning operators arising from advection–diffusion equations
Neural Networks, 153, 411–426.
2022 journal article
Active Neuron Least Squares: A training method for multivariate rectified neural networks
SIAM Journal on Scientific Computing, 44(4), A2253–A2275.
2022 article
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
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 *
2022 article
The Carleman convexification method for Hamilton-Jacobi equations on the whole space
ArXiv.
Contributors: H. Le, T. Le* & L. Nguyen
2022 article
Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method
ArXiv.
Contributors: T. Le*
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
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 *
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.
2022 book
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
2022 journal article
Overlapping Domain Decomposition Preconditioner for Integral Equations
SIAM Journal on Scientific Computing, 44(6), A3617–A3644.
2022 journal article
Weakly viscoelastic film flowing down a rotating inclined plane
Physics of Fluids, 34(1).
Contributors: S. Chattopadhyay* & A. Mukhopadhyay *
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 *
2022 chapter
Effects of Strong Viscosity with Variable Fluid Properties on Falling Film Instability
In NODYCON Conference Proceedings Series (pp. 75–85).
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 *
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