Brenton LeMesurier

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All published works

Action	Title	Year	Authors
+ PDF Chat	Energetic pulses in exciton-phonon molecular chains and conservative numerical methods for quasilinear Hamiltonian systems	2013	Brenton LeMesurier
+	Conservative, unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules	2011	Brenton LeMesurier
+ PDF Chat	Wave energy self-trapping by self-focusing in large molecular structures: A damped stochastic discrete nonlinear Schrödinger equation model	2006	Brenton LeMesurier Barron Whitehead
+ PDF Chat	Beam stabilization in the two-dimensional nonlinear Schrödinger equation with an attractive potential by beam splitting and radiation	2004	Brenton LeMesurier P. L. Christiansen Yuri Gaididei J. Juul Rasmussen
+	Regularization and control of self-focusing in the 2D cubic Schrödinger equation by attractive linear potentials	2003	Brenton LeMesurier P. L. Christiansen
+	COLLAPSE CONTROL IN AN INHOMOGENEOUS NONLINEAR SCHRÖDINGER EQUATION MODEL	2003	P. L. Christiansen Yu. B. Gaǐdideǐ Brenton LeMesurier
+ PDF Chat	Multi-focusing and sustained dissipation in the dissipative nonlinear Schrödinger equation	2001	Brenton LeMesurier
+	Dissipation at singularities of the nonlinear Schrödinger equation through limits of regularisations	2000	Brenton LeMesurier
+	On Collapsing Solutions of the Nonlinear Schroedinger Equation in Supercritical Case	1993	V. F. Shvets Nickolai Kosmatov Brenton LeMesurier
+	On Long-Lived Singularities in the Nonlinear Shroedinger Equation	1993	V. F. Shvets Nickolai Kosmatov Brenton LeMesurier
+ PDF Chat	Studying Singular Solutions of a Semilinear Heat Equation by a Dilation Rescaling Numerical Method	1991	Brenton LeMesurier
+	Singular solutions of the cubic Schrödinger equation	1989	M. J. Landman Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem
+	Local structure of the self-focusing singularity of the nonlinear Schrödinger equation	1988	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem
+	Focusing and multi-focusing solutions of the nonlinear Schrödinger equation	1988	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem
+	The Focusing Singularity of the Nonlinear Schrödinger Equation	1987	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem

Common Coauthors

Coauthor	Papers Together
P. L. Sulem	4
Catherine Sulem	4
George Papanicolaou	3
P. L. Christiansen	3
Nickolai Kosmatov	2
V. F. Shvets	2
Yu. B. Gaĭdideĭ	1
Barron Whitehead	1
M. J. Landman	1
Yuri Gaididei	1
George Papanicolaou	1
J. Juul Rasmussen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Focusing singularity of the cubic Schrödinger equation	1986	D. W. McLaughlin George Papanicolaou Catherine Sulem P. L. Sulem	10
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey	6
+	The Focusing Singularity of the Nonlinear Schrödinger Equation	1987	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem	5
+	Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity	1986	Kristoffer Rypdal J. Juul Rasmussen	5
+	Local structure of the self-focusing singularity of the nonlinear Schrödinger equation	1988	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem	5
+	Blow-up in Nonlinear Schroedinger Equations-I A General Review	1986	J. Juul Rasmussen Kristoffer Rypdal	5
+	Focusing and multi-focusing solutions of the nonlinear Schrödinger equation	1988	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem	4
+	Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension	1988	M. J. Landman George Papanicolaou Catherine Sulem P. L. Sulem	4
+	Averaged description of wave beams in linear and nonlinear media (the method of moments)	1971	S. N. Vlasov V. A. Petrishchev V. I. Talanov	3
+	Numerical simulation of singular solutions to the two‐dimensional cubic schrödinger equation	1984	P. L. Sulem Catherine Sulem Anthony T. Patera	3
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo	3
+	The Self‐Focusing Singularity in the Nonlinear Schrödinger Equation	1984	David Wood	3
+	Uniqueness of the ground state solution for Δu−u+u 3=0 and a variational characterization of other solutions	1972	Charles V. Coffman	3
+	Isolated singularities in semilinear problems	1980	Pierre‐Louis Lions	2
+	On the bound states of the nonlinear schrödinger equation with a linear potential	1988	Harvey A. Rose Michael I. Weinstein	2
+	On Long-Lived Singularities in the Nonlinear Shroedinger Equation	1993	V. F. Shvets Nickolai Kosmatov Brenton LeMesurier	2
+	Directions in Partial Differential Equations	1987	Michael G. Crandall Paul H. Rabinowitz R. E. Turner	2
+	Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators	1988	Zhong Ge Jerrold E. Marsden	2
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	2
+	On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry	1996	Ó. González J.C. Simo	2
+	Dissipation at singularities of the nonlinear Schrödinger equation through limits of regularisations	2000	Brenton LeMesurier	2
+	Computer simulation of wave collapses in the nonlinear Schrödinger equation	1991	Nickolai Kosmatov V. F. Shvets В. Е. Захаров	2
+	Stability of isotropic singularities for the nonlinear Schrödinger equation	1991	M. J. Landman George Papanicolaou Catherine Sulem P. L. Sulem Xiaoping Wang	2
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	2
+	Dimensionality and dissipation in Langmuir collapse	1980	M. V. Goldman Kristoffer Rypdal B. Hafïzi	2
+	Time integration and discrete Hamiltonian systems	1996	Ó. González	2
+ PDF Chat	Multi-focusing and sustained dissipation in the dissipative nonlinear Schrödinger equation	2001	Brenton LeMesurier	2
+	Tracing complex singularities with spectral methods	1983	Catherine Sulem P. L. Sulem H. Frisch	2
+	On Collapsing Solutions of the Nonlinear Schroedinger Equation in Supercritical Case	1993	V. F. Shvets Nickolai Kosmatov Brenton LeMesurier	2
+	A numerical method for a system of generalized nonlinear Schrodinger equations	1986	ChangQian-shun XuLin-bao	2
+ PDF Chat	Nonlinear Schrödinger equation with a white-noise potential: Phase-space approach to spread and singularity	2005	Albert Fannjiang	1
+	An <i>L</i><sup>∞</sup> blow‐up estimate for a nonlinear heat equation	1985	Fred B. Weissler	1
+	Singular solutions of the cubic Schrödinger equation	1989	M. J. Landman Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem	1
+	Lectures on Mechanics	1992	Jerrold E. Marsden	1
+	Regularization and control of self-focusing in the 2D cubic Schrödinger equation by attractive linear potentials	2003	Brenton LeMesurier P. L. Christiansen	1
+	Similarity structure of wave-collapse	1985	Kristoffer Rypdal J. Juul Rasmussen K. Thomsen	1
+	Construction of higher order symplectic integrators	1990	Haruo Yoshida	1
+	Canonical integrators as tracking codes (or how to integrate perturbation theory with tracking)	1989	É. Forest	1
+	Geometric Numerical Integration	2006	Ernst Hairer Marlis Hochbruck Arieh Iserles Christian Lubich	1
+ PDF Chat	Constraining the Dark Energy Equation of State using Alternative High-z Cosmic Tracers	2010	M. Plionis R. Terlevich Spyros Basilakos Fabio Bresolin E. Terlevich J. Melnick Ricardo Chávez Jean‐Michel Alimi André Fuözfa	1
+ PDF Chat	Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise	2005	Arnaud Debussche Anne de Bouard	1
+	On the Superstrong Wave Collapse	1993	V. F. Shvets	1
+	Stochastic differential equations	1999	Z. Haba	1
+	Group properties of differential equations	1979	Л.В. Овсянников	1
+	Similarity Methods for Differential Equations	1974	George W. Bluman Julian D. Cole	1
+	The effects of normal dispersion on collapse events	1994	G. G. Luther Alan C. Newell Jerome V. Moloney	1
+	Stability of the<i><i>D</i></i>-Dimensional Nonlinear Schrödinger Equation under Confined Potential	1999	Takeya Tsurumi Miki Wadati	1
+	Geometric integration using discrete gradients	1999	Robert I. McLachlan G. Quispel Nicolas Robidoux	1
+	Conservative, unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules	2011	Brenton LeMesurier	1
+ PDF Chat	Instability of nonlinear bound states	1985	Jalal Shatah Walter A. Strauss	1