Paul J. Atzberger

40 papers Journal 38Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Extending Neural Operators: Robust Handling of Functions Beyond the Training Set. CoRR Blaine Quackenbush, Paul J. Atzberger
2025	J	`jnl`	GD-VAEs: Geometric dynamic variational autoencoders for learning nonlinear dynamics and dimension reductions. J. Comput. Phys. Ryan Lopez, Paul J. Atzberger
2025	J	`jnl`	Protein drift-diffusion in membranes with non-equilibrium fluctuations arising from gradients in concentration or temperature. PLoS Comput. Biol. Dev Jasuja, Paul J. Atzberger
2025	J	`jnl`	Transferable Foundation Models for Geometric Tasks on Point Cloud Representations: Geometric Neural Operators. CoRR Blaine Quackenbush, Paul J. Atzberger
2025	J	`jnl`	Transferable foundation models for geometric tasks on point cloud representations: geometric neural operators. Mach. Learn. Sci. Technol. Blaine Quackenbush, Paul J. Atzberger
2024	J	`jnl`	Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators. CoRR Blaine Quackenbush, Paul J. Atzberger
2024	J	`jnl`	Geometric neural operators (gnps) for data-driven deep learning in non-euclidean settings. Mach. Learn. Sci. Technol. Blaine Quackenbush, Paul J. Atzberger
2024	J	`jnl`	SDYN-GANs: Adversarial learning methods for multistep generative models for general order stochastic dynamics. J. Comput. Phys. Panos Stinis, C. Daskalakis, Paul J. Atzberger
2024	J	`jnl`	Sparse L CoRR Matthias Chung, Rick Archibald, Paul J. Atzberger, Jack Michael Solomon
2023	J	`jnl`	Coarse-grained methods for heterogeneous vesicles with phase-separated domains: Elastic mechanics of shape fluctuations, plate compression, and channel insertion. Math. Comput. Simul. David A. Rower, Paul J. Atzberger
2023	J	`jnl`	MLMOD: Machine Learning Methods for Data-Driven Modeling in LAMMPS. J. Open Source Softw. Paul J. Atzberger
2023	J	`jnl`	SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models for General Order Stochastic Dynamics. CoRR Panos Stinis, Constantinos Daskalakis, Paul J. Atzberger
2022	J	`jnl`	First-passage time statistics on surfaces of general shape: Surface PDE solvers using Generalized Moving Least Squares (GMLS). J. Comput. Phys. Ben J. Gross, Paul Kuberry, Paul J. Atzberger
2022	J	`jnl`	GD-VAEs: Geometric Dynamic Variational Autoencoders for Learning Nonlinear Dynamics and Dimension Reductions. CoRR Ryan Lopez, Paul J. Atzberger
2022	J	`jnl`	Incorporating Shear into Stochastic Eulerian Lagrangian Methods for Rheological Studies of Complex Fluids and Soft Materials. CoRR Paul J. Atzberger
2022	J	`jnl`	Magnus Exponential Integrators for Stiff Time-Varying Stochastic Systems. CoRR Dev Jasuja, Paul J. Atzberger
2022	J	`jnl`	Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces. J. Comput. Phys. David A. Rower, Misha Padidar, Paul J. Atzberger
2021	J	`jnl`	Drift-Diffusion Dynamics and Phase Separation in Curved Cell Membranes and Dendritic Spines: Hybrid Discrete-Continuum Methods. CoRR Patrick D. Tran, Thomas A. Blanpied, Paul J. Atzberger
2021	J	`jnl`	First-Passage Time Statistics on Surfaces of General Shape: Surface PDE Solvers using Generalized Moving Least Squares (GMLS). CoRR Ben J. Gross, Paul Kuberry, Paul J. Atzberger
2021	J	`jnl`	MLMOD Package: Machine Learning Methods for Data-Driven Modeling in LAMMPS. CoRR Paul J. Atzberger
2021	—	`conf`	Variational Autoencoders for Learning Nonlinear Dynamics of PDEs and Reductions. AAAI Spring Symposium: MLPS Ryan Lopez, Paul J. Atzberger
2020	—	`conf`	GMLS-Nets: A Machine Learning Framework for Unstructured Data. AAAI Spring Symposium: MLPS Nathaniel Trask, Ravi G. Patel, Paul J. Atzberger, Ben J. Gross
2020	J	`jnl`	Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach. J. Comput. Phys. Ben J. Gross, Nathaniel Trask, Paul Kuberry, Paul J. Atzberger
2020	J	`jnl`	Variational Autoencoders for Learning Nonlinear Dynamics of Physical Systems. CoRR Ryan Lopez, Paul J. Atzberger
2019	J	`jnl`	GMLS-Nets: A framework for learning from unstructured data. CoRR Nathaniel Trask, Ravi G. Patel, Ben J. Gross, Paul J. Atzberger
2019	J	`jnl`	Meshfree Methods on Manifolds for Hydrodynamic Flows on Curved Surfaces: A Generalized Moving Least-Squares (GMLS) Approach. CoRR Ben J. Gross, Nathaniel Trask, Paul Kuberry, Paul J. Atzberger
2019	J	`jnl`	Surface Fluctuating Hydrodynamics Methods for the Drift-Diffusion Dynamics of Particles and Microstructures within Curved Fluid Interfaces. CoRR David A. Rower, Misha Padidar, Paul J. Atzberger
2018	J	`jnl`	Hydrodynamic flows on curved surfaces: Spectral numerical methods for radial manifold shapes. J. Comput. Phys. Ben J. Gross, Paul J. Atzberger
2018	J	`jnl`	Importance of the Mathematical Foundations of Machine Learning Methods for Scientific and Engineering Applications. CoRR Paul J. Atzberger
2018	J	`jnl`	Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds. J. Sci. Comput. Ben J. Gross, Paul J. Atzberger
2016	J	`jnl`	Fluctuating Hydrodynamics Methods for Dynamic Coarse-Grained Implicit-Solvent Simulations in LAMMPS. SIAM J. Sci. Comput. Yaohong Wang, Jon Karl Sigurdsson, Paul J. Atzberger
2015	J	`jnl`	Simulation of Osmotic Swelling by the Stochastic Immersed Boundary Method. SIAM J. Sci. Comput. Chen-Hung Wu, Thomas G. Fai, Paul J. Atzberger, Charles S. Peskin
2015	J	`jnl`	Stochastic Reductions for Inertial Fluid-Structure Interactions Subject to Thermal Fluctuations. SIAM J. Appl. Math. Gil Tabak, Paul J. Atzberger
2014	J	`jnl`	A First-Passage Kinetic Monte Carlo method for reaction-drift-diffusion processes. J. Comput. Phys. Ava J. Mauro, Jon Karl Sigurdsson, Justin Shrake, Paul J. Atzberger, Samuel A. Isaacson
2014	J	`jnl`	Spatially adaptive stochastic methods for fluid-structure interactions subject to thermal fluctuations in domains with complex geometries. J. Comput. Phys. Pat Plunkett, Jonathan J. Hu, Christopher M. Siefert, Paul J. Atzberger
2013	J	`jnl`	Hybrid continuum-particle method for fluctuating lipid bilayer membranes with diffusing protein inclusions. J. Comput. Phys. Jon Karl Sigurdsson, Frank L. H. Brown, Paul J. Atzberger
2011	J	`jnl`	Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations. J. Comput. Phys. Paul J. Atzberger
2010	J	`jnl`	Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems. J. Comput. Phys. Paul J. Atzberger
2008	J	`jnl`	Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations. Math. Comput. Simul. Paul J. Atzberger, Peter R. Kramer
2007	J	`jnl`	A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales. J. Comput. Phys. Paul J. Atzberger, Peter R. Kramer, Charles S. Peskin