Steven Roper

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All published works

Action	Title	Year	Authors
+	Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport	2024	Maciej Buze Jean Feydy Steven Roper Karo Sedighiani David Bourne
+ PDF Chat	Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport	2024	David Bourne M. Pearce Steven Roper
+ PDF Chat	Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport	2024	Maciej Buze Jean Feydy Steven Roper Karo Sedighiani David Bourne
+	Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport	2022	David Bourne M. Pearce Steven Roper
+	A new implementation of the geometric method for solving the Eady slice equations	2022	Charlie P. Egan David Bourne Colin J. Cotter Mike Cullen Beatrice Pelloni Steven Roper Mark Wilkinson
+	A new implementation of the geometric method for solving the Eady slice equations	2022	Charlie Egan David Bourne Colin J. Cotter Mike Cullen Beatrice Pelloni Steven Roper Mark Wilkinson
+ PDF Chat	Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes	2020	David Bourne Piet Kok Steven Roper Wil Spanjer
+ PDF Chat	An Arnoldi-Frontal Approach for the Stability Analysis of Flows in a Collapsible Channel	2016	Yujue Hao Zongxi Cai Steven Roper Xiaoyu Luo
+	Centroidal Power Diagrams, Lloyd's Algorithm, and Applications to Optimal Location Problems	2015	David Bourne Steven Roper
+	Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems	2014	David W. A. Bourne Steven Roper
+ PDF Chat	Hexagonal Patterns in a Simplified Model for Block Copolymers	2014	David Bourne Mark A. Peletier Steven Roper
+	Hexagonal patterns in a simplified model for block copolymers	2013	David Bourne Mark A. Peletier Steven Roper
+ PDF Chat	Hexagonal patterns in a simplified model for block copolymers	2013	David Bourne Mark A. Peletier Steven Roper
+	Hexagonal patterns in a simplified model for block copolymers	2013	David Bourne Mark A. Peletier Steven Roper

Common Coauthors

Coauthor	Papers Together
David Bourne	12
Mark A. Peletier	4
M. J. P. Cullen	2
Beatrice Pelloni	2
Maciej Buze	2
M. Pearce	2
Karo Sedighiani	2
Colin J. Cotter	2
David W. A. Bourne	1
Mark Wilkinson	1
Wil Spanjer	1
Piet Kok	1
Xiaoyu Luo	1
Mark Wilkinson	1
Jean Feydy	1
Jean Feydy	1
Charlie P. Egan	1
Zongxi Cai	1
Charlie Egan	1
Yujue Hao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Centroidal Voronoi Tessellations: Applications and Algorithms	1999	Qiang Du Vance Faber Max Gunzburger	6
+	Centroidal Power Diagrams, Lloyd's Algorithm, and Applications to Optimal Location Problems	2015	David Bourne Steven Roper	5
+	Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations	2006	Qiang Du Maria Emelianenko Lili Ju	4
+ PDF Chat	Convergence of a Newton algorithm for semi-discrete optimal transport	2019	Jun Kitagawa Quentin Mérigot Boris Thibert	4
+ PDF Chat	A Multiscale Approach to Optimal Transport	2011	Quentin Mérigot	4
+	Optimal Transport for Applied Mathematicians	2015	Filippo Santambrogio	3
+ PDF Chat	Generalized balanced power diagrams for 3D representations of polycrystals	2015	Andreas Alpers Andreas Brieden Peter Gritzmann Allan Lyckegaard Henning Friis Poulsen	3
+	Asymptotic analysis of a class of optimal location problems	2010	Guy Bouchitté Chloé Jimenez Rajesh Mahadevan	3
+ PDF Chat	A Mass Transportation Model for the Optimal Planning of an Urban Region	2009	Giuseppe Buttazzo Filippo Santambrogio	3
+	The Variational Formulation of the Fokker--Planck Equation	1998	Richard W. Jordan David Kinderlehrer Félix Otto	3
+	A Revision of the Proof of the Kepler Conjecture	2009	Thomas Hales John Harrison Sean McLaughlin Tobias Nipkow Steven Obua Roland Zumkeller	2
+	A short analytic proof of Fejes Tóth's theorem on sums of moments	1999	Peter M. Gruber	2
+	The optimal centroidal Voronoi tessellations and the gersho's conjecture in the three-dimensional space	2005	Qiang Du Desheng Wang	2
+ PDF Chat	Cascade of Minimizers for a Nonlocal Isoperimetric Problem in Thin Domains	2014	Massimiliano Morini Peter Sternberg	2
+ PDF Chat	Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure	2018	Frédéric de Gournay Jonas Kahn Léo Lebrat	2
+	The ground state for soft disks	1981	Charles Radin	2
+ PDF Chat	Droplet Minimizers of an Isoperimetric Problem with Long‐Range Interactions	2013	Marco Cicalese Emanuele Spadaro	2
+ PDF Chat	Notions of optimal transport theory and how to implement them on a computer	2018	Bruno Lévy Erica Schwindt	2
+	Dynamic grain models via fast heuristics for diagram representations	2023	Andreas Alpers Maximilian Fiedler Peter Gritzmann Fabian Klemm	2
+ PDF Chat	STRIPE PATTERNS IN A MODEL FOR BLOCK COPOLYMERS	2010	Mark A. Peletier Marco Veneroni	2
+	Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional	2011	Rustum Choksi Mark A. Peletier	2
+	Γ-convergence for beginners	2002	Andrea Braides	2
+ PDF Chat	Optimal transport: discretization and algorithms	2020	Quentin Mérigot Boris Thibert	2
+	A stability criterion to the moment theorem	2001	Gábor Tóth	2
+	On Optimal Weighted Balanced Clusterings: Gravity Bodies and Power Diagrams	2012	Andreas Brieden Peter Gritzmann	2
+ PDF Chat	Droplet Phases in Non-local Ginzburg-Landau Models with Coulomb Repulsion in Two Dimensions	2010	Cyrill B. Muratov	2
+ PDF Chat	Topics in Optimal Transportation	2003	Cédric Villani	2
+ PDF Chat	Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape	2011	Yuen Au Yeung Gero Friesecke Bernd Schmidt	2
+ PDF Chat	Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction	2014	David Bourne Mark A. Peletier Florian Theil	2
+	The Optimal Lattice Quantizer in Three Dimensions	1983	Edwin Barnes N. J. A. Sloane	2
+	Generalized Dirichlet tessellations	1986	Peter F. Ash Ethan D. Bolker	2
+ PDF Chat	Vertical slice modelling of nonlinear Eady waves using a compatible finite element method	2017	Hiroe Yamazaki Jemma Shipton Michael J. Cullen Lawrence Mitchell Colin J. Cotter	1
+	The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation	2018	Luca Dieci Joseph D. Walsh	1
+	A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations	2017	Thomas Gallouët Quentin Mérigot	1
+	The semi-geostrophic system: weak-strong uniqueness under uniform convexity	2017	Mikhail Feldman Adrian Tudorascu	1
+	Small volume fraction limit of the diblock copolymer problem : II. Diffuse-interface functional	2010	Rustum Choksi Peletier	1
+ PDF Chat	Radical Voronoï tessellation from random pack of polydisperse spheres: Prediction of the cells’ size distribution	2018	Dorian Depriester Régis Kubler	1
+	Interpolating between Optimal Transport and MMD using Sinkhorn Divergences	2018	Jean Feydy Thibault Séjourné François-Xavier Vialard Шун-ичи Амари Alain Trouvé Gabriel Peyré	1
+	Optimality of the triangular lattice for a particle system with Wasserstein interaction	2012	David Bourne Mark A. Peletier Florian Theil	1
+ PDF Chat	A global existence result for the semigeostrophic equations in three dimensional convex domains	2013	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli	1
+	Kernel Operations on the GPU, with Autodiff, without Memory Overflows	2020	Benjamin Charlier Jean Feydy Joan Glaunès François-David Collin Ghislain Durif	1
+ PDF Chat	Deep learning for synthetic microstructure generation in a materials-by-design framework for heterogeneous energetic materials	2020	Sehyun Chun Sidhartha Roy Yen T. Nguyen Joseph B. Choi H. S. Udaykumar Stephen S. Baek	1
+ PDF Chat	The Γ-Limit of the Two-Dimensional Ohta–Kawasaki Energy. I. Droplet Density	2013	Dorian Goldman Cyrill B. Muratov Sylvia Serfaty	1
+ PDF Chat	A fast semidiscrete optimal transport algorithm for a unique reconstruction of the early Universe	2021	Bruno Lévy Roya Mohayaee Sebastian von Hausegger	1
+ PDF Chat	Semi-discrete optimal transport methods for the semi-geostrophic equations	2022	David Bourne Charlie P. Egan Beatrice Pelloni Mark Wilkinson	1
+	Eigenvalue Problems and Algorithms in Structural Engineering	1986	Roger G. Grimes John G. Lewis Horst D. Simon	1
+	Computational Optimal Transport: With Applications to Data Science	2019	Gabriel Peyré Marco Cuturi	1
+	On Correctness of Automatic Differentiation for Non-Differentiable Functions	2020	Wonyeol Lee Hangyeol Yu Xavier Rival Hongseok Yang	1
+	Large scale eigenvalue problems	1987		1
+	Spatial Tessellations	2000		1