Marcel Oliver

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All published works

Action	Title	Year	Authors
+ PDF Chat	Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	2024	Marcel Oliver Marc Aurele Tiofack Kenfack
+ PDF Chat	A new construction of modified equations for variational integrators	2024	Marcel Oliver Sergiy Vasylkevych
+	On the relation between Fourier and Walsh–Rademacher spectra for random fields	2023	Anton A. Kutsenko Sergey Danilov Stephan Juricke Marcel Oliver
+ PDF Chat	Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	2023	Gökce Tuba Masur Haidar J. Mohamad Marcel Oliver
+	Deterministic and stochastic surrogate models for a slowly driven fast oscillator	2023	Marcel Oliver Marc Aurele Tiofack Kenfack
+ PDF Chat	Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit	2022	Zymantas Darbenas R. van der Hout Marcel Oliver
+	Long-time asymptotics of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit	2022	Zymantas Darbenas R. van der Hout Marcel Oliver
+	Quasi-convergence of an implementation of optimal balance by backward-forward nudging	2022	G. Tuba Masur Haidar J. Mohamad Marcel Oliver
+ PDF Chat	Variational balance models for the three-dimensional Euler–Boussinesq equations with full Coriolis force	2021	Gözde Özden Marcel Oliver
+ PDF Chat	Numerical Integration of Functions of a Rapidly Rotating Phase	2021	Haidar J. Mohamad Marcel Oliver
+ PDF Chat	Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model	2020	Zymantas Darbenas Marcel Oliver
+	High-order uniformly accurate time integrators for semilinear wave equations of Klein-Gordon type in the non-relativistic limit.	2020	Haidar J. Mohamad Marcel Oliver
+	On the Existence of Solutions to a Bi-Planar Monge-Ampère Equation	2020	Ibrokhimbek Akramov Marcel Oliver
+	Conditional uniqueness of solutions to the Keller-Rubinow model for Liesegang rings in the fast reaction limit	2020	Zymantas Darbenas R. van der Hout Marcel Oliver
+	High-order uniformly accurate time integrators for semilinear wave equations of Klein-Gordon type in the non-relativistic limit	2020	Haidar J. Mohamad Marcel Oliver
+	Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller--Rubinow model	2019	Zymantas Darbenas Marcel Oliver
+	Numerical integration of functions of a rapidly rotating phase	2019	Haidar J. Mohamad Marcel Oliver
+ PDF Chat	Geodesic motion on groups of diffeomorphisms with<i>H</i><sup>1</sup>metric as geometric generalised Lagrangian mean theory	2019	Marcel Oliver Sergiy Vasylkevych
+	Uniqueness of solutions for weakly degenerate cordial Volterra integral equations	2019	Zymantas Darbenas Marcel Oliver
+	A direct construction of a slow manifold for a semilinear wave equation of Klein–Gordon type	2019	Haidar J. Mohamad Marcel Oliver
+	Long-time asymptotics of solutions to the Keller-Rubinow model for Liesegang rings in the fast reaction limit	2019	Zymantas Darbenas R. van der Hout Marcel Oliver
+	Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller-Rubinow model	2019	Zymantas Darbenas Marcel Oliver
+	Numerical integration of functions of a rapidly rotating phase	2019	Haidar J. Mohamad Marcel Oliver
+ PDF Chat	Geometric Lagrangian averaged Euler–Boussinesq and primitive equations	2018	Gualtiero Badin Marcel Oliver Sergiy Vasylkevych
+	<i>H</i> <i>s</i> -class construction of an almost invariant slow subspace for the Klein–Gordon equation in the non-relativistic limit	2018	Haidar J. Mohamad Marcel Oliver
+	Optimal balance via adiabatic invariance of approximate slow manifolds	2017	Georg A. Gottwald Haidar J. Mohamad Marcel Oliver
+ PDF Chat	Comparison of variational balance models for the rotating shallow water equations	2017	David G. Dritschel Georg A. Gottwald Marcel Oliver
+ PDF Chat	Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds	2017	Georg A. Gottwald Haidar J. Mohamad Marcel Oliver
+	Optimal balance via adiabatic invariance of approximate slow manifolds	2017	Georg A. Gottwald Haidar J. Mohamad Marcel Oliver
+ PDF Chat	Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge–Kutta methods for Hamiltonian semilinear evolution equations	2016	Claudia Wulff Marcel Oliver
+ PDF Chat	Generalized large-scale semigeostrophic approximations for the<i>f</i>-plane primitive equations	2016	Marcel Oliver Sergiy Vasylkevych
+ PDF Chat	Slow dynamics via degenerate variational asymptotics	2014	Georg A. Gottwald Marcel Oliver
+ PDF Chat	Stability under Galerkin truncation of A-stable Runge–Kutta discretizations in time	2014	Marcel Oliver Claudia Wulff
+	A Conceptual Shift to Rectify a Defect in the Lorentz-Dirac Equation	2013	Marcel Oliver
+	Global Well-Posedness for the Generalized Large-Scale Semigeostrophic Equations	2012	Mahmut Çalik Marcel Oliver Sergiy Vasylkevych
+	Generalized LSG models with spatially varying Coriolis parameter	2012	Marcel Oliver Sergiy Vasylkevych
+	Weak solutions for generalized large-scale semigeostrophic equations	2012	Mahmut Çalik Marcel Oliver
+	Approximate energy conservation of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations	2012	Claudia Wulff Marcel Oliver
+	Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations	2012	Claudia Wulff Marcel Oliver
+	A-stable Runge–Kutta methods for semilinear evolution equations	2012	Marcel Oliver Claudia Wulff
+	Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations	2012	Claudia Wulff Marcel Oliver
+	The Ever-Elusive Blowup in the Mathematical Description of Fluids	2011	Robert M. Kerr Marcel Oliver
+	Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling	2011	Marcel Oliver Sergiy Vasylkevych
+	A parcel formulation of Hamiltonian layer models	2009	O. Bokhove Marcel Oliver
+	A parcel formulation for Hamiltonian layer models	2009	Onno Bokhove Marcel Oliver
+	Variational asymptotics for rotating shallow water near geostrophy: a transformational approach	2006	Marcel Oliver
+	Numerical Evaluation of the Evans Function by Magnus Integration	2005	N.D. Aparicio Simon J. A. Malham Marcel Oliver
+ PDF Chat	Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations	2004	Marcel Oliver Matthew West Claudia Wulff
+	A new model for shallow water in the low-Rossby-number limit	2002	Rupert Ford Simon J. A. Malham Marcel Oliver
+	The Lagrangian averaged Euler equations as the short-time inviscid limit of the Navier–Stokes equations with Besov class data in $\mathbb{R}^2$	2002	Marcel Oliver
+ PDF Chat	THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID	2001	Marcel Oliver Steve Shkoller
+	Accelerating fronts in autocatalysis	2000	Simon J. A. Malham Marcel Oliver
+	Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier–Stokes Equations in Rn	2000	Marcel Oliver Edriss S. Titi
+	Global well-posedness for the averaged Euler equations in two dimensions	2000	Shinar Kouranbaeva Marcel Oliver
+	The vortex blob method as a second-grade non-Newtonian fluid	1999	Marcel Oliver Steve Shkoller
+	Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrodinger equation	1998	Marcel Oliver Edriss S. Titi
+	Justification of the Shallow-Water Limit for a Rigid-Lid Flow with Bottom Topography	1997	Marcel Oliver
+	Classical Solutions for a Generalized Euler Equation in Two Dimensions	1997	Marcel Oliver
+	Analyticity of Solutions for a Generalized Euler Equation	1997	C. David Levermore Marcel Oliver
+	Distribution-valued initial data for the complex ginzburg-landau equation	1997	C. David Levermore Marcel Oliver
+	Global well-posedness for the lake equations	1996	C. David Levermore Marcel Oliver Edriss S. Titi
+ PDF Chat	Global well-posedness for models of shallow water in a basin with a varying bottom	1996	C. David Levermore Marcel Oliver Edriss S. Titi
+	Length scales in solutions of the complex Ginzburg-Landau equation	1996	Michele V. Bartuccelli John Gibbon Marcel Oliver

Common Coauthors

Coauthor	Papers Together
Haidar J. Mohamad	12
Zymantas Darbenas	8
Sergiy Vasylkevych	7
Claudia Wulff	7
Georg A. Gottwald	5
R. van der Hout	4
Edriss S. Titi	4
C. David Levermore	4
Simon J. A. Malham	3
Steve Shkoller	2
Mahmut Çalik	2
Marc Aurele Tiofack Kenfack	2
Ibrokhimbek Akramov	1
John Gibbon	1
G. Tuba Masur	1
Anton A. Kutsenko	1
Gökce Tuba Masur	1
Matthew West	1
Rupert Ford	1
Robert M. Kerr	1
O. Bokhove	1
Gualtiero Badin	1
Gözde Özden	1
N.D. Aparicio	1
Stephan Juricke	1
Shinar Kouranbaeva	1
Sergey Danilov	1
David G. Dritschel	1
Onno Bokhove	1
Michele V. Bartuccelli	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories	1998	Darryl D. Holm Jerrold E. Marsden Tudor S. Raţiu	10
+ PDF Chat	Slow dynamics via degenerate variational asymptotics	2014	Georg A. Gottwald Marcel Oliver	9
+	Variational asymptotics for rotating shallow water near geostrophy: a transformational approach	2006	Marcel Oliver	9
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	8
+ PDF Chat	Global well-posedness for models of shallow water in a basin with a varying bottom	1996	C. David Levermore Marcel Oliver Edriss S. Titi	7
+	The separation of motions in systems with rapidly rotating phase	1984	А. И. Нейштадт	7
+ PDF Chat	Semigeostrophic Particle Motion and Exponentially Accurate Normal forms	2006	Colin J. Cotter Sebastian Reich	7
+	Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling	2011	Marcel Oliver Sergiy Vasylkevych	6
+	Weak and strong solutions of the complex Ginzburg-Landau equation	1994	Charles R. Doering John Gibbon C. David Levermore	6
+	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid	1970	David G. Ebin Jerrold E. Marsden	6
+	Generalized LSG models with spatially varying Coriolis parameter	2012	Marcel Oliver Sergiy Vasylkevych	5
+ PDF Chat	Exponential estimates of symplectic slow manifolds	2016	Kristian Uldall Kristiansen Claudia Wulff	5
+	Non-stationary flow of an ideal incompressible liquid	1963	V. I. Yudovich	5
+	Classical Solutions for a Generalized Euler Equation in Two Dimensions	1997	Marcel Oliver	5
+ PDF Chat	Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains	2001	Jerrold E. Marsden Steve Shkoller	5
+ PDF Chat	THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID	2001	Marcel Oliver Steve Shkoller	5
+	Existence, uniqueness, and breakdown of solutions for models of chemical reactions with hysteresis	2018	Zymantas Darbenas	5
+	Existence et unicité de la solution de l'équation d'Euler en dimension deux	1972	Claude Bardos	5
+ PDF Chat	Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion	1999	Darryl D. Holm	5
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	5
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	5
+	Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem	1998	Jean‐David Benamou Yann Brenier	5
+	Analyticity of Solutions for a Generalized Euler Equation	1997	C. David Levermore Marcel Oliver	5
+	Global well-posedness for the lake equations	1996	C. David Levermore Marcel Oliver Edriss S. Titi	5
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry	4
+	Uniqueness of solutions for weakly degenerate cordial Volterra integral equations	2019	Zymantas Darbenas Marcel Oliver	4
+	Geometry and Curvature of Diffeomorphism Groups withH1Metric and Mean Hydrodynamics	1998	Steve Shkoller	4
+	A MATHEMATICAL MODEL FOR BACTERIAL GROWTH DESCRIBED BY A HYSTERESIS OPERATOR	2008	Toyohiko Aiki Jana Kopfová	4
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	4
+ PDF Chat	Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits	1966	Vladimir I. Arnold	4
+	Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation	1993	Arjen Doelman Edriss S. Titi	4
+	Foundations of global non-linear analysis	1968	Richard S. Palais	4
+	Global Well-Posedness for the Generalized Large-Scale Semigeostrophic Equations	2012	Mahmut Çalik Marcel Oliver Sergiy Vasylkevych	4
+	Gevrey regularity for nonlinear analytic parabolic equations	1998	Andrew B. Ferrari Edriss S. Titi	4
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	4
+ PDF Chat	Reaction-Diffusion Equations with Spatially Distributed Hysteresis	2013	Pavel Gurevich R. V. Shamin Sergey Tikhomirov	4
+	Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting	2017	Simon Baumstark Erwan Faou Katharina Schratz	3
+	Long-time asymptotics of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit	2022	Zymantas Darbenas R. van der Hout Marcel Oliver	3
+ PDF Chat	Generalized large-scale semigeostrophic approximations for the<i>f</i>-plane primitive equations	2016	Marcel Oliver Sergiy Vasylkevych	3
+ PDF Chat	Runge-Kutta methods for parabolic equations and convolution quadrature	1993	Ch. Lubich Alexander Ostermann	3
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	3
+	Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions	1984	Masayoshi Tsutsumi	3
+ PDF Chat	The Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations	2003	Jerrold E. Marsden Steve Shkoller	3
+	Stochastic homogenization for an energy conserving multi-scale toy model of the atmosphere	2013	Jason Frank Georg A. Gottwald	3
+	Second Order Elliptic Equations and Elliptic Systems	1998	Chen Ya-zhe Lan-Cheng Wu	3
+	Gevrey class regularity for the solutions of the Navier-Stokes equations	1989	Ciprian Foiaş Roger Témam	3
+ PDF Chat	On the Euler equations of incompressible perfect fluids	1975	Roger Témam	3
+ PDF Chat	Backward Error Analysis for Numerical Integrators	1999	Sebastian Reich	3
+	Approximate Calculation of Sums I: Bounds for the Zeros of Gram Polynomials	2014	Iván Area Dimitar K. Dimitrov E. Godoy Vanessa G. Paschoa	3
+	On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms	1994	Giancarlo Benettin Antonio Giorgilli	3