Timothy J. Grant

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bespoke finite difference schemes that preserve multiple conservation laws	2015	Timothy J. Grant
+ PDF Chat	Characteristics of Conservation Laws for Difference Equations	2013	Timothy J. Grant Peter E. Hydon
+	Characteristics of conservation laws for difference equations	2012	Timothy J. Grant Peter E. Hydon
+	Characteristics of conservation laws for difference equations	2012	Timothy J. Grant Peter E. Hydon
+	Characteristics of conservation laws for finite difference equations	2011	Timothy J. Grant

Common Coauthors

Coauthor	Papers Together
Peter E. Hydon	3

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Applications of lie groups to differential equations	1990	Peter J. Olver	3
+ PDF Chat	Classification of Integrable Equations on Quad-Graphs. The Consistency Approach	2003	V. É. Adler A. I. Bobenko Yu. B. Suris	3
+ PDF Chat	Invariant variation problems	1971	Emmy Noether	3
+	Conservation laws of partial difference equations with two independent variables	2001	Peter E. Hydon	3
+ PDF Chat	Construction of Integrals of Higher-Order Mappings	2006	Ken-ichi Maruno G. Quispel	3
+ PDF Chat	Conservation Laws of Discrete Korteweg-de Vries Equation	2005	Alexander G. Rasin	3
+ PDF Chat	Spatial discretization of partial differential equations with integrals	2003	Robert I. McLachlan	2
+	Symmetries of Integrable Difference Equations on the Quad‐Graph	2007	Alexander G. Rasin Peter E. Hydon	2
+	Finite Difference Schemes for ∂u∂t=(∂∂x)αδGδu That Inherit Energy Conservation or Dissipation Property	1999	Daisuke Furihata	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
+	Buchberger's algorithm	2011	Bruno Buchberger Manuel Kauers	2
+	Geometric Integration and its Applications	2003	Chris Budd Matthew D. Piggott	2
+	Discrete lax equations and differential-difference calculus	1985	Boris A. Kupershmidt	2
+	Numerical methods for Hamiltonian PDEs	2006	Thomas J. Bridges Sebastian Reich	2
+	Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity	2001	Thomas J. Bridges Sebastian Reich	2
+	Conservation laws for NQC-type difference equations	2006	Alexander G. Rasin Peter E. Hydon	2
+	An explicit finite-difference scheme with exact conservation properties	1982	J. M. Sanz‐Serna	2
+ PDF Chat	Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications	2002	Stephen C. Anco George W. Bluman	2
+ PDF Chat	On Symplectic and Multisymplectic Schemes for the KdV Equation	2005	Uri M. Ascher Robert I. McLachlan	2
+ PDF Chat	Direct construction method for conservation laws of partial differential equations Part II: General treatment	2002	Stephen C. Anco George W. Bluman	2
+	Conservation laws for integrable difference equations	2007	Alexander G. Rasin Peter E. Hydon	2
+	A Variational Complex for Difference Equations	2004	Peter E. Hydon Elizabeth L. Mansfield	2
+	On finite-difference methods for the Korteweg-de Vries equation	1971	A. C. Vliegenthart	2
+	Conservation laws of the BBM equation	1984	S. Duzhin Tōru Tsujishita	2
+ PDF Chat	Multisymplectic box schemes and the Korteweg–de Vries equation	2003	Uri M. Ascher Robert I. McLachlan	2
+	Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators	1988	Zhong Ge Jerrold E. Marsden	2
+	Euler operators and conservation laws of the BBM equation	1979	Peter J. Olver	2
+ PDF Chat	Extensions of Noether's Second Theorem: from continuous to discrete systems	2011	Peter E. Hydon Elizabeth L. Mansfield	2
+	Characteristics of conservation laws for finite difference equations	2011	Timothy J. Grant	2
+ PDF Chat	Searching for integrable lattice maps using factorization	2007	Jarmo Hietarinta C.-M. Viallet	2
+ PDF Chat	Infinitely many conservation laws for the discrete KdV equation	2009	Alexander G. Rasin Jeremy Schiff	2
+ PDF Chat	Infinitely many symmetries and conservation laws for quad-graph equations via the Gardner method	2010	Alexander G. Rasin	2
+ PDF Chat	Cosymmetries and Nijenhuis recursion operators for difference equations	2011	А. В. Михайлов Jing Ping Wang Pavlos Xenitidis	2
+ PDF Chat	Applications of Lie Groups to Differential Equations	1993	Peter J. Olver	2
+	Simulating Hamiltonian Dynamics	2005	Benedict Leimkuhler Sebastian Reich	1
+	Geometric integration using discrete gradients	1999	Robert I. McLachlan G. Quispel Nicolas Robidoux	1
+	On the Numerical Solution of the Sine–Gordon Equation	1996	Mark J. Ablowitz B. M. Herbst C.M. Schober	1
+	Numerical chaos, roundoff errors, and homoclinic manifolds	1993	Mark J. Ablowitz C.M. Schober Ben Herbst	1
+	Self-Organized Criticality and Scaling in Lifetime of Traffic Jams	1995	Takashi Nagatani	1
+	Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)	2007	David A. Cox John B. Little Donal O’Shea	1
+	Time-Dependent First Integrals, Nonlinear Dynamical Systems, and Numerical Integration	2005	Willi-Hans Steeb Timothy Scholes Yorick Hardy	1
+ PDF Chat	Nonlinear and linear conservative finite difference schemes for regularized long wave equation	2009	Satoshi Koide Daisuke Furihata	1
+	An Introduction to Manifolds	2007	Loring W. Tu	1
+ PDF Chat	Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law	2006	Jason Frank Brian E. Moore Sebastian Reich	1
+ PDF Chat	Characteristics of Conservation Laws for Difference Equations	2013	Timothy J. Grant Peter E. Hydon	1
+ PDF Chat	Recursion operators, conservation laws, and integrability conditions for difference equations	2011	А. В. Михайлов Jing Ping Wang Pavlos Xenitidis	1
+ PDF Chat	Discrete mechanics and variational integrators	2001	Jerrold E. Marsden Matthew West	1
+ PDF Chat	On symplectic and multisymplectic schemes for the KdV equation	2005	Uri M. Ascher Robert I. McLachlan	1
+	Noether-type theorems for difference equations	2001	В. А. Дородницын	1
+ PDF Chat	Geometric Numerical Integration	2006	Ernst Hairer Gerhard Wanner Christian Lubich	1