Fleur McDonald

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations	2016	Fleur McDonald Robert I. McLachlan Brian E. Moore G. Quispel
+	Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations	2015	Fleur McDonald Robert I. McLachlan Brian E. Moore G. Quispel
+	Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations	2015	Fleur McDonald Robert I. McLachlan Brian E. Moore G R W Quispel
+	Travelling wave solutions in multisymplectic discretisations of wave equations : a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Manawatu, New Zealand	2013	Fleur McDonald

Common Coauthors

Coauthor	Papers Together
Robert I. McLachlan	3
Brian E. Moore	3
G. Quispel	2
G R W Quispel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	2
+	Numerical methods for Hamiltonian PDEs	2006	Thomas J. Bridges Sebastian Reich	2
+ PDF Chat	The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs	2005	Jialin Hong Hongyu Liu Geng Sun	2
+	The Symplectic Evans Matrix,¶and the Instability of Solitary Waves and Fronts	2001	Thomas J. Bridges Gianne Derks	2
+ PDF Chat	Backward error analysis for multi-symplectic integration methods	2003	Brian E. Moore Sebastian Reich	2
+	Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity	2001	Thomas J. Bridges Sebastian Reich	2
+ PDF Chat	On Multisymplecticity of Partitioned Runge–Kutta Methods	2008	Brett N. Ryland Robert I. McLachlan	2
+	Accuracy and conservation properties in numerical integration: the case of the Korteweg-de Vries equation	1997	Javier de Frutos J. M. Sanz‐Serna	2
+ PDF Chat	Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs	1998	Jerrold E. Marsden George W. Patrick Steve Shkoller	2
+ PDF Chat	Multisymplectic box schemes and the Korteweg–de Vries equation	2003	Uri M. Ascher Robert I. McLachlan	2
+	Multi-symplectic Runge–Kutta-type methods for Hamiltonian wave equations	2005	Hongyu Liu Kai Zhang	2
+	On the preservation of phase space structure under multisymplectic discretization	2004	A. Islas C.M. Schober	2
+ PDF Chat	Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law	2006	Jason Frank Brian E. Moore Sebastian Reich	2
+	Simulating Hamiltonian Dynamics	2005	Benedict Leimkuhler Sebastian Reich	2
+ PDF Chat	Linear Stability of Partitioned Runge–Kutta Methods	2011	Robert I. McLachlan Yanqiu Sun P. S. P. Tse	2
+	High Order Multisymplectic Runge--Kutta Methods	2014	Robert I. McLachlan Brett N. Ryland Yajuan Sun	2
+	Multi-Symplectic Runge–Kutta Collocation Methods for Hamiltonian Wave Equations	2000	Sebastian Reich	2
+	The numerical integration of relative equilibrium solutions. The nonlinear Schrodinger equation	2000	A. Durán	2
+	Geometric integrators for ODEs	2006	Robert I. McLachlan G. Quispel	2
+ PDF Chat	Conservation of wave action under multisymplectic discretizations	2006	Jason Frank	2
+ PDF Chat	On the Nonlinear Stability of Symplectic Integrators	2004	Robert I. McLachlan Matthew Perlmutter G. Quispel	2
+ PDF Chat	Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice	1998	Erik S. Van Vleck John Mallet‐Paret John W. Cahn	2
+ PDF Chat	Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry	1999	Thomas J. Bridges Gianne Derks	2
+	Multi-symplectic integration methods for Hamiltonian PDEs	2003	Brian E. Moore Sebastian Reich	1
+ PDF Chat	Multisymplectic formulation of fluid dynamics using the inverse map	2007	Colin J. Cotter Darryl D. Holm Peter E. Hydon	1
+	Multisymplectic integration : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematical Physics at Massey University, Palmerston North, New Zealand	2007	Brett N. Ryland	1
+	Geometric Numerical Integration	2002	Ernst Hairer Gerhard Wanner Christian Lubich	1
+	Travelling wave solutions in multisymplectic discretisations of wave equations : a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Manawatu, New Zealand	2013	Fleur McDonald	1