P. Atzberger

发表

P. Atzberger, 2020, Linear Algebra and Optimization with Applications to Machine Learning.

Electrostatics of Nanoparticle–Wall Interactions within Nanochannels: Role of Double-Layer Structure and Ion–Ion Correlations

P. Atzberger, A. Frischknecht, I. S. Sidhu, 2017, ACS omega.

Electrostatics of Particle Confinement within Nanochannels: Role of Double-Layer Interactions and Ion-Ion Correlations

P. Atzberger, A. Frischknecht, I. S. Sidhu, 2017 .

Hydrodynamic coupling of particle inclusions embedded in curved lipid bilayer membranes.

P. Atzberger, J. K. Sigurdsson, 2016, Soft matter.

Dynamic implicit-solvent coarse-grained models of lipid bilayer membranes: fluctuating hydrodynamics thermostat.

Jon Karl Sigurdsson, Paul J. Atzberger, Erik G. Brandt, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Dynamic implicit-solvent coarse-grained models of lipid bilayer membranes: fluctuating hydrodynamics thermostat.

Jon Karl Sigurdsson, Paul J Atzberger, Erik G. Brandt, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

The Monte-Carlo Method

P. Atzberger, 2006 .

Micromagnetic selection of aptamers in microfluidic channels

A. Heeger, E. Lagally, P. Atzberger, 2009, Proceedings of the National Academy of Sciences.

Systematic Reductions in the Stochastic Eulerian-Lagrangian Method for Fluid-Structure Interactions with Thermal Fluctuations

P. Atzberger, 2013 .

SYSTEMATIC STOCHASTIC REDUCTION OF INERTIAL FLUID-STRUCTURE INTERACTIONS SUBJECT TO THERMAL FLUCTUATIONS

P. Atzberger, 2022 .

Incorporating Shear into Stochastic Eulerian Lagrangian Methods for Rheological Studies of Complex Fluids and Soft Materials

P. Atzberger, 2013, ArXiv.

Stochastic reduction method for biological chemical kinetics using time-scale separation.

Chetan D. Pahlajani, M. Khammash, P. Atzberger, 2011, Journal of theoretical biology.

On the foundations of the stochastic immersed boundary method

P. Kramer, C. Peskin, P. Atzberger, 2008 .

Bayesian Inference over Stiefel Manifold 3 Bayesian Inference of Constrained Parameters Using Transformations

Richard M. Jiang, L. Petzold, P. Atzberger, 2018 .

General Bayesian Inference over the Stiefel Manifold via the Givens Transform

Richard M. Jiang, L. Petzold, P. Atzberger, 2017 .

Förster resonance energy transfer: Role of diffusion of fluorophore orientation and separation in observed shifts of FRET efficiency

Paul J Atzberger, Bram Wallace, P. Atzberger, 2017, PloS one.

Heterogeneous Vesicles with Phases having Different Preferred Curvatures: Shape Fluctuations and Mechanics of Active Deformations

P. Atzberger, David A. Rower, 2019 .

A Brownian Dynamics Model of Kinesin in Three Dimensions Incorporating the Force-Extension Profile of the Coiled-Coil Cargo Tether

Paul J Atzberger, Charles S Peskin, C. Peskin, 2006, Bulletin of mathematical biology.

Topological Methods for Polymeric Materials: Characterizing the Relationship Between Polymer Entanglement and Viscoelasticity

P. Atzberger, K. Millett, E. Panagiotou, 2017, Polymers.

Title Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries Permalink

P. Atzberger, Y. Wang, H. Lei, 2018 .

SPATIALLY ADAPTIVE STOCHASTIC MULTIGRID METHODS FOR FLUID-STRUCTURE SYSTEMS WITH THERMAL FLUCTUATIONS

Paul J. Atzberger, P. Atzberger, 2010 .

GMLS-Nets: Scientific Machine Learning Methods for Unstructured Data

Ravi G. Patel, P. Atzberger, Nathaniel Trask, 2019 .

Active Contours Driven by Multi-Feature Gaussian Distribution Fitting Energy with Application to Vessel Segmentation

Lei Wang, Huimao Zhang, Paul J Atzberger, 2015, PloS one.

Force spectroscopy of complex biopolymers with heterogeneous elasticity

P. Atzberger, M. Valentine, B. Lopez, 2013 .

GD-VAEs: Geometric Dynamic Variational Autoencoders for Learning Nonlinear Dynamics and Dimension Reductions

P. Atzberger, Ryan Lopez, 2022, 2206.05183.

Strategies for Improving the Efficiency of Monte-Carlo Methods

Paul J. Atzberger, P. Atzberger, 2006 .

Drift-Diffusion Dynamics and Phase Separation in Curved Cell Membranes and Dendritic Spines: Hybrid Discrete-Continuum Methods

P. Atzberger, T. Blanpied, P. D. Tran, 2021, Physical review. E.

Stochastic Discontinuous Galerkin Methods (SDGM) based on fluctuation-dissipation balance

P. Atzberger, Nathaniel Trask, Will Pazner, 2018, Results in Applied Mathematics.

Stochastic immersed boundary method incorporating thermal fluctuations

P. Kramer, C. Peskin, P. Atzberger, 2007 .

Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries

P. Atzberger, Y. Wang, H. Lei, 2017, Applied Mathematics and Mechanics.

Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds

P. Atzberger, B. Gross, 2017, Journal of Scientific Computing.

GD-VAEs: Geometric Dynamic Variational Autoencoders for Learning Nonlinear Dynamics and Dimension Reductions

P. Atzberger, Ryan Lopez, 2022, ArXiv.

Magnus Exponential Integrators for Stiff Time-Varying Stochastic Systems

P. Atzberger, Dev Jasuja, 2022, ArXiv.

Incorporating Drift into the First-Passage Kinetic Monte Carlo Method

Ava J. Mauro, S. Isaacson, P. Atzberger, 2010 .

An Introduction to Portfolio Theory

P. Atzberger, 2005 .

Surface Fluctuating Hydrodynamics Methods for the Drift-Diffusion Dynamics of Particles and Microstructures within Curved Fluid Interfaces pdf

Paul J. Atzberger, David Rower, Misha Padidar, 2019, J. Comput. Phys..

Electrostatics of Nanoparticle–Wall Interactions within Nanochannels: Role of Double-Layer Structure and Ion–Ion Correlations

P. Atzberger, A. Frischknecht, I. S. Sidhu, 2018, ACS omega.

Stochastic Reductions for Inertial Fluid-Structure Interactions Subject to Thermal Fluctuations

Paul J. Atzberger, Gil Tabak, P. Atzberger, 2012, SIAM J. Appl. Math..

Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations

Paul J. Atzberger, P. Atzberger, 2009, J. Comput. Phys..

Analysis of Selection Approaches for Aptamer Molecular Libraries

P. Atzberger, J. F. Rudzinski, 2010 .

Electrostatics of Nanoparticle–Wall Interactions within Nanochannels: Role of Double-Layer Structure and Ion–Ion Correlations

P. Atzberger, A. Frischknecht, I. S. Sidhu, 2017, ACS omega.

Influence of Target Concentration and Background Binding on In Vitro Selection of Affinity Reagents

Paul J. Atzberger, H. Tom Soh, Joseph F. Rudzinski, 2012, PloS one.

Coarse-grained methods for heterogeneous vesicles with phase-separated domains: Elastic mechanics of shape fluctuations, plate compression, and channel insertion

P. Atzberger, David A. Rower, 2019, Math. Comput. Simul..

Meshfree Methods on Manifolds for Hydrodynamic Flows on Curved Surfaces: A Generalized Moving Least-Squares (GMLS) Approach pdf

B. J. Gross, N. Trask, P. Kuberry, 2019, J. Comput. Phys..

Hydrodynamic flows on curved surfaces: Spectral numerical methods for radial manifold shapes

Paul J. Atzberger, Ben J. Gross, P. Atzberger, 2018, J. Comput. Phys..

Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds

Paul J. Atzberger, Ben J. Gross, P. Atzberger, 2017, Journal of Scientific Computing.

Fluctuating Hydrodynamics Methods for Dynamic Coarse-Grained Implicit-Solvent Simulations in LAMMPS

Y. Wang, Jon Karl Sigurdsson, Paul J. Atzberger, 2016, SIAM J. Sci. Comput..

Shape matters in protein mobility within membranes

Paul J Atzberger, David Lacoste, Patricia Bassereau, 2014, Proceedings of the National Academy of Sciences.

Spatially adaptive stochastic methods for fluid-structure interactions subject to thermal fluctuations in domains with complex geometries

Paul J. Atzberger, Jonathan J. Hu, Christopher M. Siefert, 2013, J. Comput. Phys..

SIMULATION OF COMPLEX FLUIDS AND SOFT MATERIALS USING STOCHASTIC EULERIAN LAGRANGIAN METHODS WITH SHEAR BOUNDARY CONDITIONS

P. Atzberger, 2010 .

Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems

Paul J. Atzberger, P. Atzberger, 2010, J. Comput. Phys..

A microfluidic pumping mechanism driven by non-equilibrium osmotic effects

Paul J. Atzberger, Samuel A. Isaacson, Charles S. Peskin, 2009 .

Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations

Paul J. Atzberger, Peter R. Kramer, P. Kramer, 2008, Math. Comput. Simul..

Spectral analysis methods for the robust measurement of the flexural rigidity of biopolymers.

P. Atzberger, S. Kuei, M. Valentine, 2012, Biophysical journal.

General Bayesian Inference over the Stiefel Manifold via the Givens Representation

Linda R Petzold, Brian Mitchell, Arya A Pourzanjani, 2017 .

GMLS-Nets: A Machine Learning Framework for Unstructured Data

Paul J. Atzberger, Nathaniel Trask, Ravi G. Patel, 2020, AAAI Spring Symposium: MLPS.

GMLS-Nets: A framework for learning from unstructured data pdf

Paul J. Atzberger, Nathaniel Trask, Ravi G. Patel, 2019, ArXiv.

A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales

Paul J. Atzberger, Peter R. Kramer, Charles S. Peskin, 2007, J. Comput. Phys..

Simulation of Osmotic Swelling by the Stochastic Immersed Boundary Method

Paul J. Atzberger, Thomas G. Fai, Charles S. Peskin, 2015, SIAM J. Sci. Comput..

SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models for General Order Stochastic Dynamics

C. Daskalakis, P. Atzberger, P. Stinis, 2023, ArXiv.

Variational Autoencoders for Learning Nonlinear Dynamics of PDEs and Reductions

P. Atzberger, Ryan Lopez, 2020, AAAI Spring Symposium: MLPS.

Variational Autoencoders for Learning Nonlinear Dynamics of PDEs and Reductions

Paul J. Atzberger, Ryan Lopez, P. Atzberger, 2021, AAAI Spring Symposium: MLPS.

First-Passage Time Statistics on Surfaces of General Shape: Surface PDE Solvers using Generalized Moving Least Squares (GMLS)

P. Atzberger, P. Kuberry, B. Gross, 2021, J. Comput. Phys..

Experimental study of the separation behavior of nanoparticles in micro- and nanochannels

S. Pennathur, P. Atzberger, M. Napoli, 2011 .

Hybrid elastic and discrete-particle approach to biomembrane dynamics with application to the mobility of curved integral membrane proteins.

Paul J Atzberger, P. Atzberger, F. Brown, 2009, Physical review letters.

Theoretical framework for microscopic osmotic phenomena.

Paul J Atzberger, Peter R Kramer, P. Kramer, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

A First-Passage Kinetic Monte Carlo method for reaction-drift-diffusion processes

Ava J. Mauro, Jon Karl Sigurdsson, Justin Shrake, 2013, J. Comput. Phys..

Hybrid continuum-particle method for fluctuating lipid bilayer membranes with diffusing protein inclusions

Jon Karl Sigurdsson, Paul J. Atzberger, Frank L. H. Brown, 2013, J. Comput. Phys..

Theoretical Framework for Microscopic Osmotic Phenomena Theoretical Framework for Microscopic Osmotic Phenomena

P. Kramer, P. Atzberger, 2007 .

A STOCHASTIC IMMERSED BOUNDARY METHOD FOR BIOLOGICAL FLUID DYNAMICS AT MICROSCOPIC LENGTH SCALES

Paul J. Atzberger, Peter R. Kramer, Charles S. Peskin, 2006 .

A note on the correspondence of an immersed boundary method incorporating thermal fluctuations with Stokesian-Brownian dynamics

Paul J. Atzberger, P. Atzberger, 2007 .

Velocity Correlations of a Brownian Particle Velocity Correlations of a Brownian Particle

P. Atzberger, 2007 .

Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries

Paul J. Atzberger, Huan Lei, Yang Wang, 2017, Applied Mathematics and Mechanics.

Simulation of edge facilitated adsorption and critical concentration induced rupture of vesicles at a surface

Paul J. Atzberger, Brian A. Camley, Jacob N. Israelachvili, 2013 .

The Monte-Carlo Method

P. Atzberger, 2006 .

Bayesian Inference over the Stiefel Manifold via the Givens Representation

Richard M. Jiang, P. Atzberger, A. Pourzanjani, 2017, Bayesian Analysis.

Variational Autoencoders for Learning Nonlinear Dynamics of PDEs and Reductions pdf

Paul J. Atzberger, Ryan Lopez, P. Atzberger, 2020, AAAI Spring Symposium: MLPS.

Hydrodynamic coupling of particle inclusions embedded in curved lipid bilayer membranes.

P. Atzberger, J. K. Sigurdsson, 2016, Soft matter.

Velocity correlations of a thermally fluctuating brownian particle : A novel model of the hydrodynamic coupling

Paul J. Atzberger, P. Atzberger, 2006 .

MLMOD: Machine Learning Methods for Data-Driven Modeling in LAMMPS

P. Atzberger, 2021, J. Open Source Softw..

Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators

P. Atzberger, Blaine Quackenbush, 2024, ArXiv.