An optimal control formulation for inviscid incompressible ideal fluid flow. - Anthony M. Bloch; Darryl D. Holm; Peter E. Crouch; Jerrold E. Marsden (CDC, 2000)

Stepwise Precession of the Resonant Swinging Spring. - Darryl D. Holm; Peter Lynch (SIAM J. Appl. Dyn. Syst., 2002)

Rasetti-Regge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments. - Darryl D. Holm (Math. Comput. Simul., 2003)

Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs. - Darryl D. Holm; Martin F. Staley (SIAM J. Appl. Dyn. Syst., 2003)

The Euler-Poincare theory of Metamorphosis - Darryl D. Holm; Alain Trouvé; Laurent Younes (CoRR, 2008)

Implementation of the LANS-α turbulence model in a primitive equation ocean model. - Matthew Hecht; Darryl D. Holm; Mark R. Petersen; Beth A. Wingate (J. Comput. Phys., 2008)

Continuous and Discrete Clebsch Variational Principles. - Colin J. Cotter; Darryl D. Holm (Found. Comput. Math., 2009)

Simultaneous Fine and Coarse Diffeomorphic Registration: Application to Atrophy Measurement in Alzheimer's Disease. - Laurent Risser; François-Xavier Vialard; Robin Wolz; Darryl D. Holm; Daniel Rueckert (MICCAI (2), 2010)

Large Deformation Diffeomorphic Registration Using Fine and Coarse Strategies. - Laurent Risser; François-Xavier Vialard; Maria Murgasova; Darryl D. Holm; Daniel Rueckert (WBIR, 2010)

Diffeomorphic Atlas Estimation using Karcher Mean and Geodesic Shooting on Volumetric Images. - François-Xavier Vialard; Laurent Risser; Darryl D. Holm; Daniel Rueckert (MIUA, 2011)

The Momentum Map Representation of Images. - Martins Bruveris; François Gay-Balmaz; Darryl D. Holm; Tudor S. Ratiu (J. Nonlinear Sci., 2011)

The Effect of Subfilter-Scale Physics on Regularization Models. - Jonathan Pietarila Graham; Darryl D. Holm; Pablo D. Mininni; Annick Pouquet (J. Sci. Comput., 2011)

Simultaneous Multi-scale Registration Using Large Deformation Diffeomorphic Metric Mapping. - Laurent Risser; François-Xavier Vialard; Robin Wolz; Maria Murgasova; Darryl D. Holm; Daniel Rueckert (IEEE Trans. Medical Imaging, 2011)

Exact geometric theory of dendronized polymer dynamics. - François Gay-Balmaz; Darryl D. Holm; Vakhtang Putkaradze; Tudor S. Ratiu (Adv. Appl. Math., 2012)

Invariant Higher-Order Variational Problems II. - François Gay-Balmaz; Darryl D. Holm; David M. Meier; Tudor S. Ratiu; François-Xavier Vialard (J. Nonlinear Sci., 2012)

G-Strands. - Darryl D. Holm; Rossen I. Ivanov; James R. Percival (J. Nonlinear Sci., 2012)

On Noether's Theorem for the Euler-Poincaré Equation on the Diffeomorphism Group with Advected Quantities. - Colin J. Cotter; Darryl D. Holm (Found. Comput. Math., 2013)

Weak Dual Pairs and Jetlet Methods for Ideal Incompressible Fluid Models in n≥2 Dimensions. - Colin J. Cotter; Jaap Eldering; Darryl D. Holm; Henry O. Jacobs; David M. Meier (J. Nonlinear Sci., 2016)

A Stochastic Large Deformation Model for Computational Anatomy. - Alexis Arnaudon; Darryl D. Holm; Akshay Pai; Stefan Sommer (IPMI, 2017)

Stochastic metamorphosis with template uncertainties. - Alexis Arnaudon; Darryl D. Holm; Stefan Sommer (CoRR, 2017)

Multipole Vortex Blobs (MVB): Symplectic Geometry and Dynamics. - Darryl D. Holm; Henry O. Jacobs (J. Nonlinear Sci., 2017)

String Methods for Stochastic Image and Shape Matching. - Alexis Arnaudon; Darryl D. Holm; Stefan Sommer (J. Math. Imaging Vis., 2018)

Noise and Dissipation on Coadjoint Orbits. - Alexis Arnaudon; Alex L. De Castro; Darryl D. Holm (J. Nonlinear Sci., 2018)

Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows. - François Gay-Balmaz; Darryl D. Holm (J. Nonlinear Sci., 2018)

Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation. - Thomas M. Bendall; Colin J. Cotter; Darryl D. Holm (CoRR, 2019)

Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. - Colin J. Cotter; Dan Crisan; Darryl D. Holm; Wei Pan 006; Igor Shevchenko (CoRR, 2019)

A Geometric Framework for Stochastic Shape Analysis. - Alexis Arnaudon; Darryl D. Holm; Stefan Sommer (Found. Comput. Math., 2019)

Solution Properties of a 3D Stochastic Euler Fluid Equation. - Dan Crisan; Franco Flandoli; Darryl D. Holm (J. Nonlinear Sci., 2019)

Stochastic Parametrization of the Richardson Triple. - Darryl D. Holm (J. Nonlinear Sci., 2019)

Stochastic Evolution of Augmented Born-Infeld Equations. - Darryl D. Holm (J. Nonlinear Sci., 2019)

Stochastic Closures for Wave-Current Interaction Dynamics. - Darryl D. Holm (J. Nonlinear Sci., 2019)

Numerically Modeling Stochastic Lie Transport in Fluid Dynamics. - Colin J. Cotter; Dan Crisan; Darryl D. Holm; Wei Pan 006; Igor Shevchenko (Multiscale Model. Simul., 2019)

Implications of Kunita-Itô-Wentzell Formula for k-Forms in Stochastic Fluid Dynamics. - Aythami Bethencourt de Léon; Darryl D. Holm; Erwin Luesink; So Takao (J. Nonlinear Sci., 2020)

A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation. - Colin J. Cotter; Dan Crisan; Darryl D. Holm; Wei Pan 006; Igor Shevchenko (SIAM/ASA J. Uncertain. Quantification, 2020)

Stochastic Variational Formulations of Fluid Wave-Current Interaction. - Darryl D. Holm (J. Nonlinear Sci., 2021)

Stochastic Wave-Current Interaction in Thermal Shallow Water Dynamics. - Darryl D. Holm; Erwin Luesink (J. Nonlinear Sci., 2021)

Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model. - Dan Crisan; Darryl D. Holm; Oana Lang; Prince Romeo Mensah; Wei Pan 006 (CoRR, 2022)

Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models. - Bertrand Chapron; Dan Crisan; Darryl D. Holm; Oana Lang; Alexander Lobbe; Étienne Mémin (CoRR, 2023)

Variational Principles on Geometric Rough Paths and the Lévy Area Correction. - Theo Diamantakis; Darryl D. Holm; Grigorios A. Pavliotis (SIAM J. Appl. Dyn. Syst., 2023)

Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model. - Dan Crisan; Darryl D. Holm; Erwin Luesink; Prince Romeo Mensah; Wei Pan 006 (J. Nonlinear Sci., 2023)