Andreas Roth

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All published works

Action	Title	Year	Authors
+ PDF Chat	Preventing Representational Rank Collapse in MPNNs by Splitting the Computational Graph	2024	Andreas Roth Franka Bause Nils M. Kriege Thomas Liebig
+ PDF Chat	Simplifying the Theory on Over-Smoothing	2024	Andreas Roth
+	Distilling Influences to Mitigate Prediction Churn in Graph Neural Networks	2023	Andreas Roth Thomas Liebig
+	Transforming PageRank into an Infinite-Depth Graph Neural Network	2022	Andreas Roth Thomas Liebig
+	Forecasting Unobserved Node States with spatio-temporal Graph Neural Networks	2022	Andreas Roth Thomas Liebig
+ PDF Chat	Instantaneous control of interacting particle systems in the mean-field limit	2019	Martin Burger René Pinnau Claudia Totzeck Oliver Tse Andreas Roth
+ PDF Chat	A Retarded Mean-Field Approach for Interacting Fiber Structures	2017	Raul Borsche Axel Klar Christian Nessler Andreas Roth Oliver Tse
+	First-order quarter-and mixed-moment realizability theory and Kershaw closures for a Fokker-Planck equation in two space dimensions	2017	Florian Schneider Andreas Roth Jochen Kall
+ PDF Chat	Supporting students gifted in mathematics through an innovative STEM talent programme	2016	Martin Bracke Patrick Capraro Anna Hoffmann Sören Häuser Christian Nessler Katherine H.L. Neßler Andreas Roth
+ PDF Chat	Single to double mill small noise transition via semi-Lagrangian finite volume methods	2016	José A. Carrillo Axel Klar Andreas Roth
+	A Semi-Lagrangian Method for 3-D Fokker Planck Equations for Stochastic Dynamical Systems on the Sphere	2014	Andreas Roth Axel Klar Bernd Simeon Evgeniy Zharovsky
+	Single to Double Mill Small Noise Transition via Semi-Lagrangian Finite Volume Methods	2014	José A. Carrillo Axel Klar Andreas Roth

Common Coauthors

Coauthor	Papers Together
Thomas Liebig	4
Axel Klar	4
Christian Nessler	2
José A. Carrillo	2
Oliver Tse	2
René Pinnau	1
Raul Borsche	1
Franka Bause	1
Martin Burger	1
Florian Schneider	1
Anna Hoffmann	1
Martin Bracke	1
Patrick Capraro	1
Jochen Kall	1
Sören Häuser	1
Bernd Simeon	1
Nils M. Kriege	1
Katherine H.L. Neßler	1
Claudia Totzeck	1
Evgeniy Zharovsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics	2008	Axel Klar Philip Reuterswärd Mohammed Seaı̈d	4
+	SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE	2010	José A. Carrillo Axel Klar S. Martin Sudarshan Tiwari	4
+ PDF Chat	The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation	1999	Éric Sonnendrücker Jean R. Roche Pierre Bertrand A. Ghizzo	4
+ PDF Chat	CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION	2008	Pierre Degond Sébastien Motsch	4
+	A Semi-Lagrangian Method for 3-D Fokker Planck Equations for Stochastic Dynamical Systems on the Sphere	2014	Andreas Roth Axel Klar Bernd Simeon Evgeniy Zharovsky	4
+ PDF Chat	Novel Type of Phase Transition in a System of Self-Driven Particles	1995	Tamás Vicsek András Czirók Eshel Ben‐Jacob Inon Cohen Ofer Shochet	3
+	The integration of the vlasov equation in configuration space	1976	C. Z. Cheng G. Knorr	3
+	A conservative high order semi-Lagrangian WENO method for the Vlasov equation	2009	Jing‐Mei Qiu Andrew Christlieb	3
+ PDF Chat	A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION	2010	José A. Cañizo José A. Carrillo J. Rosado	3
+ PDF Chat	Single to double mill small noise transition via semi-Lagrangian finite volume methods	2016	José A. Carrillo Axel Klar Andreas Roth	3
+ PDF Chat	A new interaction potential for swarming models	2013	José A. Carrillo S. Martin V. Panferov	3
+	Large Scale Dynamics of Interacting Particles	1991	Herbert Spohn	3
+	Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models	2007	José A. Carrillo Francesco Vecil	2
+	Mutual interactions, potentials, and individual distance in a social aggregation	2003	Alex Mogilner L. Bent Äthan Spiros Leah Edelstein‐Keshet	2
+ PDF Chat	Self-organization in systems of self-propelled particles	2000	Herbert Levine Wouter‐Jan Rappel Inon Cohen	2
+ PDF Chat	INTEGRATION OF THE NONDIVERGENT BAROTROPIC VORTICITY EQUATION WITH AN ICOSAHEDRAL-HEXAGONAL GRID FOR THE SPHERE<sup>1</sup>	1968	R. Sadourny Akio Arakawa Yale Mintz	2
+	Nonlinear stability of flock solutions in second-order swarming models	2014	José A. Carrillo Yanghong Huang S. Martin	2
+	Conservative Numerical Schemes for the Vlasov Equation	2001	Francis Filbet Éric Sonnendrücker P. Bertrand	2
+ PDF Chat	The mean-field limit for the dynamics of large particle systems	2003	François Golse	2
+	Integration of the Vlasov equation in configuration space	1975	C. Z. Cheng G. Knorr	2
+ PDF Chat	Ring patterns and their bifurcations in a nonlocal model of biological swarms	2015	Andrea L. Bertozzi Théodore Kolokolnikov Hui Sun David Uminsky James von Brecht	2
+ PDF Chat	Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study	2008	Michele Ballerini N. Cabibbo Raphaël Candelier Andrea Cavagna E. Cisbani Irene Giardina Vivien Lecomte Alberto Orlandi Giorgio Parisi Andrea Procaccini	2
+	Vlasov equations	1979	R. L. Dobrushin	2
+ PDF Chat	Macroscopic Limits and Phase Transition in a System of Self-propelled Particles	2012	Pierre Degond Amic Frouvelle Jian‐Guo Liu	2
+ PDF Chat	State transitions and the continuum limit for a 2D interacting, self-propelled particle system	2007	Yao-Li Chuang Maria R. D’Orsogna Daniel Marthaler Andrea L. Bertozzi L. S. Chayes	2
+ PDF Chat	Self-organized aerial displays of thousands of starlings: a model	2010	Hanno Hildenbrandt Claudio Carere Charlotte K. Hemelrijk	2
+	The simulation of the movement of fish schools	1992	Andreas Huth Christian Wissel	2
+	Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme	1974	Bram van Leer	2
+ PDF Chat	Collective Behavior of Animals: Swarming and Complex Patterns	2010	José A. Cañizo J. Rosado José A. Carrillo	2
+	Emergent behaviour in multi-particle systems with non-local interactions	2013	Théodore Kolokolnikov José A. Carrillo Andrea L. Bertozzi Razvan C. Fetecau Mark A. Lewis	2
+ PDF Chat	On the growth of stochastic integrals	1971	Daniel W. Stroock	2
+ PDF Chat	STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING	2011	François Bolley José A. Cañizo José A. Carrillo	2
+ PDF Chat	Onset of Collective and Cohesive Motion	2004	Guillaume Grégoire Hugues Chaté	2
+	Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures	1982	Jim Douglas Thomas F. Russell	1
+	A Comparison of Moment Closures for Linear Kinetic Transport Equations: The Line Source Benchmark	2013	Charles Garrett Cory D. Hauck	1
+ PDF Chat	Adaptive change of basis in entropy-based moment closures for linear kinetic equations	2013	Graham W. Alldredge Cory D. Hauck Dianne P. O’Leary André L. Tits	1
+ PDF Chat	The derivation of swarming models: Mean-field limit and Wasserstein distances	2014	José A. Carrillo Young-Pil Choi Maxime Hauray	1
+	One-dimensional Riemann solvers and the maximum entropy closure	2001	Thomas Brunner James Paul Holloway	1
+	From particle to kinetic and hydrodynamic descriptions of flocking	2008	Seung‐Yeal Ha Eitan Tadmor	1
+	Half-Moment Closure for Radiative Transfer Equations	2002	B. Dubroca Axel Klar	1
+	Partial moment entropy approximation to radiative heat transfer	2006	Martin Frank Bruno Dubroca Axel Klar	1
+ PDF Chat	Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)	1912	Hermann Weyl	1
+	Geometry, mixing properties and hypocoercivity of a degenerate diffusion arising in technical textile industry	2012	Martin Grothaus Axel Klar Johannes Maringer Patrik Stilgenbauer	1
+	Stochastic Differential Equations	2006	Iosif Il’ich Gihman Anatoliĭ Vladimirovich Skorohod	1
+	Towards the Ultimate Conservative Difference Scheme	1997	Bram van Leer	1
+ PDF Chat	A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension	2015	Graham W. Alldredge Florian Schneider	1
+ PDF Chat	Moment Closure Hierarchies for the Boltzmann-Poisson Equation	1998	C. David Levermore	1
+ PDF Chat	Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes	2012	Jean Dolbeault Axel Klar Clément Mouhot Christian Schmeiser	1
+ PDF Chat	A simple proof of the Cucker-Smale flocking dynamics and mean-field limit	2009	Seung‐Yeal Ha Jian‐Guo Liu	1
+	(Non-)Ergodicity of a Degenerate Diffusion Modeling the Fiber Lay Down Process	2013	Martin Kolb Mladen Savov Achim Wübker	1