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ORCIDPaul J. Atzberger
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2020 – today
- 2024
[j18]Panos Stinis, C. Daskalakis, Paul J. Atzberger
:
SDYN-GANs: Adversarial learning methods for multistep generative models for general order stochastic dynamics. J. Comput. Phys. 519: 113442 (2024)- [i13]Blaine Quackenbush, Paul J. Atzberger:
Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators. CoRR abs/2404.10843 (2024) - 2023
- [j17]Paul J. Atzberger:
MLMOD: Machine Learning Methods for Data-Driven Modeling in LAMMPS. J. Open Source Softw. 8(90): 5620 (2023) - [j16]David A. Rower, Paul J. Atzberger:
Coarse-grained methods for heterogeneous vesicles with phase-separated domains: Elastic mechanics of shape fluctuations, plate compression, and channel insertion. Math. Comput. Simul. 209: 342-361 (2023) - [i12]Panos Stinis, Constantinos Daskalakis, Paul J. Atzberger:
SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models for General Order Stochastic Dynamics. CoRR abs/2302.03663 (2023) - 2022
- [j15]Ben J. Gross, Paul Kuberry, Paul J. Atzberger:
First-passage time statistics on surfaces of general shape: Surface PDE solvers using Generalized Moving Least Squares (GMLS). J. Comput. Phys. 453: 110932 (2022) - [j14]David A. Rower, Misha Padidar, Paul J. Atzberger:
Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces. J. Comput. Phys. 455: 110994 (2022) - [i11]Ryan Lopez, Paul J. Atzberger:
GD-VAEs: Geometric Dynamic Variational Autoencoders for Learning Nonlinear Dynamics and Dimension Reductions. CoRR abs/2206.05183 (2022) - [i10]Dev Jasuja, Paul J. Atzberger:
Magnus Exponential Integrators for Stiff Time-Varying Stochastic Systems. CoRR abs/2212.08978 (2022) - [i9]Paul J. Atzberger:
Incorporating Shear into Stochastic Eulerian Lagrangian Methods for Rheological Studies of Complex Fluids and Soft Materials. CoRR abs/2212.10651 (2022) - 2021
- [c2]Ryan Lopez, Paul J. Atzberger:
Variational Autoencoders for Learning Nonlinear Dynamics of PDEs and Reductions. AAAI Spring Symposium: MLPS 2021 - [i8]Ben J. Gross, Paul Kuberry, Paul J. Atzberger:
First-Passage Time Statistics on Surfaces of General Shape: Surface PDE Solvers using Generalized Moving Least Squares (GMLS). CoRR abs/2102.02421 (2021) - [i7]Paul J. Atzberger:
MLMOD Package: Machine Learning Methods for Data-Driven Modeling in LAMMPS. CoRR abs/2107.14362 (2021) - [i6]Patrick D. Tran, Thomas A. Blanpied, Paul J. Atzberger:
Drift-Diffusion Dynamics and Phase Separation in Curved Cell Membranes and Dendritic Spines: Hybrid Discrete-Continuum Methods. CoRR abs/2110.00725 (2021) - 2020
- [j13]Ben J. Gross, Nathaniel Trask, Paul Kuberry, Paul J. Atzberger:
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach. J. Comput. Phys. 409: 109340 (2020) - [c1]Nathaniel Trask, Ravi G. Patel, Paul J. Atzberger, Ben J. Gross:
GMLS-Nets: A Machine Learning Framework for Unstructured Data. AAAI Spring Symposium: MLPS 2020 - [i5]Ryan Lopez, Paul J. Atzberger:
Variational Autoencoders for Learning Nonlinear Dynamics of Physical Systems. CoRR abs/2012.03448 (2020)
2010 – 2019
- 2019
- [i4]Ben J. Gross, Nathaniel Trask, Paul Kuberry, Paul J. Atzberger:
Meshfree Methods on Manifolds for Hydrodynamic Flows on Curved Surfaces: A Generalized Moving Least-Squares (GMLS) Approach. CoRR abs/1905.10469 (2019) - [i3]David A. Rower, Misha Padidar, Paul J. Atzberger:
Surface Fluctuating Hydrodynamics Methods for the Drift-Diffusion Dynamics of Particles and Microstructures within Curved Fluid Interfaces. CoRR abs/1906.01146 (2019) - [i2]Nathaniel Trask, Ravi G. Patel, Ben J. Gross, Paul J. Atzberger:
GMLS-Nets: A framework for learning from unstructured data. CoRR abs/1909.05371 (2019) - 2018
- [j12]Ben J. Gross, Paul J. Atzberger:
Hydrodynamic flows on curved surfaces: Spectral numerical methods for radial manifold shapes. J. Comput. Phys. 371: 663-689 (2018) - [j11]Ben J. Gross, Paul J. Atzberger:
Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds. J. Sci. Comput. 76(1): 145-165 (2018) - [i1]Paul J. Atzberger:
Importance of the Mathematical Foundations of Machine Learning Methods for Scientific and Engineering Applications. CoRR abs/1808.02213 (2018) - 2016
- [j10]Y. Wang, Jon Karl Sigurdsson, Paul J. Atzberger:
Fluctuating Hydrodynamics Methods for Dynamic Coarse-Grained Implicit-Solvent Simulations in LAMMPS. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j9]Gil Tabak, Paul J. Atzberger:
Stochastic Reductions for Inertial Fluid-Structure Interactions Subject to Thermal Fluctuations. SIAM J. Appl. Math. 75(4): 1884-1914 (2015) - [j8]Chen-Hung Wu, Thomas G. Fai, Paul J. Atzberger, Charles S. Peskin:
Simulation of Osmotic Swelling by the Stochastic Immersed Boundary Method. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j7]Ava J. Mauro, Jon Karl Sigurdsson, Justin Shrake, Paul J. Atzberger, Samuel A. Isaacson:
A First-Passage Kinetic Monte Carlo method for reaction-drift-diffusion processes. J. Comput. Phys. 259: 536-567 (2014) - [j6]Pat Plunkett, Jonathan J. Hu, Christopher M. Siefert, Paul J. Atzberger:
Spatially adaptive stochastic methods for fluid-structure interactions subject to thermal fluctuations in domains with complex geometries. J. Comput. Phys. 277: 121-137 (2014) - 2013
- [j5]Jon Karl Sigurdsson, Frank L. H. Brown, Paul J. Atzberger:
Hybrid continuum-particle method for fluctuating lipid bilayer membranes with diffusing protein inclusions. J. Comput. Phys. 252: 65-85 (2013) - 2011
- [j4]Paul J. Atzberger:
Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations. J. Comput. Phys. 230(8): 2821-2837 (2011) - 2010
- [j3]Paul J. Atzberger:
Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems. J. Comput. Phys. 229(9): 3474-3501 (2010)
2000 – 2009
- 2008
- [j2]Paul J. Atzberger, Peter R. Kramer:
Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations. Math. Comput. Simul. 79(3): 379-408 (2008) - 2007
- [j1]Paul J. Atzberger, Peter R. Kramer, Charles S. Peskin:
A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales. J. Comput. Phys. 224(2): 1255-1292 (2007)
Coauthor Index
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