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Hydon, Peter Ellsworth

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Author ID: hydon.peter-ellsworth Recent zbMATH articles by "Hydon, Peter Ellsworth"
Published as: Hydon, Peter E.; Hydon, P. E.; Hydon, Peter Ellsworth
Documents Indexed: 43 Publications since 1992, including 2 Books

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 367 times in 276 Documents Cited by Year
Symmetry methods for differential equations. A beginner’s guide. Zbl 0951.34001
Hydon, Peter E.
76
2000
Symmetries and first integrals of ordinary difference equations. Zbl 0991.39005
Hydon, P. E.
36
2000
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
33
2000
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
29
2004
Difference equations by differential equation methods. Zbl 1332.39001
Hydon, Peter E.
19
2014
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
16
2007
Multisymplectic structures and the variational bicomplex. Zbl 1183.53072
Bridges, Thomas J.; Hydon, Peter E.; Lawson, Jeffrey K.
15
2010
Conservation laws of partial difference equations with two independent variables. Zbl 0987.35158
Hydon, P. E.
14
2001
Multisymplectic conservation laws for differential and differential-difference equations. Zbl 1139.37305
Hydon, P. E.
13
2005
Discrete point symmetries of ordinary differential equations. Zbl 0923.34004
Hydon, P. E.
12
1998
Automorphisms of real Lie algebras of dimension five or less. Zbl 1323.17016
Fisher, David J.; Gray, Robert J.; Hydon, Peter E.
11
2013
Vorticity and symplecticity in Lagrangian fluid dynamics. Zbl 1065.76011
Bridges, Thomas J.; Hydon, Peter E.; Reich, Sebastian
10
2005
Asymmetric integrable quad-graph equations. Zbl 1188.37059
Hydon, Peter E.; Viallet, Claude-M.
8
2010
Extensions of Noether’s second theorem: from continuous to discrete systems. Zbl 1248.37058
Hydon, Peter E.; Mansfield, Elizabeth L.
7
2011
Symmetry analysis of initial-value problems. Zbl 1087.34016
Hydon, Peter E.
6
2005
Characteristics of conservation laws for difference equations. Zbl 1273.39011
Grant, Timothy J.; Hydon, Peter E.
6
2013
Axial dispersion in a channel with oscillating walls. Zbl 0774.76099
Hydon, P. E.; Pedley, T. J.
5
1993
Integrability conditions for nonautonomous quad-graph equations. Zbl 1119.35079
Sahadevan, R.; Rasin, O. G.; Hydon, P. E.
5
2007
Difference forms. Zbl 1148.39016
Mansfield, Elizabeth L.; Hydon, Peter E.
5
2008
Conservation laws of discrete Korteweg-de Vries equation. Zbl 1128.37052
Rasin, Olexandr G.; Hydon, Peter E.
5
2005
Conservation laws for integrable difference equations. Zbl 1122.70014
Rasin, Olexandr G.; Hydon, Peter E.
5
2007
Particle transport in a moving corner. Zbl 1095.76053
Laine-Pearson, F. E.; Hydon, P. E.
4
2006
How to find discrete contact symmetries. Zbl 0969.34009
Hydon, Peter E.
3
1998
On a variational complex for difference equations. Zbl 1018.39011
Mansfield, Elizabeth L.; Hydon, Peter E.
3
2001
Towards approximations which preserve integrals. Zbl 1356.65189
Mansfield, Elizabeth L.; Hydon, Peter E.
3
2001
Flow in pipes with non-uniform curvature and torsion. Zbl 0985.76015
Gammack, David; Hydon, Peter E.
3
2001
Conservation laws for NQC-type difference equations. Zbl 1106.70013
Rasin, Olexandr G.; Hydon, Peter E.
3
2006
Dispersion in oscillatory channel flow with coupled transverse wall motion. Zbl 0890.76078
Hydon, P. E.; Pedley, T. J.
2
1996
Resonant advection by oscillatory flow in a curved pipe. Zbl 1194.76058
Hydon, P. E.
2
1994
Discrete symmetries of differential equations. Zbl 1017.34034
Hydon, P. E.
1
2001
Self-invariant contact symmetries. Zbl 1081.34034
Hydon, Peter E.
1
2004
Conformal symmetries of first-order ordinary differential equations. Zbl 0916.34039
Hydon, P. E.
1
1996
Resonant and chaotic advection in a curved pipe. Zbl 0827.76014
Hydon, P. E.
1
1994
Alternating flow in a moving corner. Zbl 1193.76135
Laine-Pearson, F. E.; Hydon, P. E.
1
2010
Introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology. Zbl 1188.68365
Hydon, Peter E.
1
2006
Classification of discrete symmetries of ordinary differential equations. Zbl 1141.34321
Laine-Pearson, F. E.; Hydon, P. E.
1
2003
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
1
2019
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
1
2019
Difference equations by differential equation methods. Zbl 1332.39001
Hydon, Peter E.
19
2014
Automorphisms of real Lie algebras of dimension five or less. Zbl 1323.17016
Fisher, David J.; Gray, Robert J.; Hydon, Peter E.
11
2013
Characteristics of conservation laws for difference equations. Zbl 1273.39011
Grant, Timothy J.; Hydon, Peter E.
6
2013
Extensions of Noether’s second theorem: from continuous to discrete systems. Zbl 1248.37058
Hydon, Peter E.; Mansfield, Elizabeth L.
7
2011
Multisymplectic structures and the variational bicomplex. Zbl 1183.53072
Bridges, Thomas J.; Hydon, Peter E.; Lawson, Jeffrey K.
15
2010
Asymmetric integrable quad-graph equations. Zbl 1188.37059
Hydon, Peter E.; Viallet, Claude-M.
8
2010
Alternating flow in a moving corner. Zbl 1193.76135
Laine-Pearson, F. E.; Hydon, P. E.
1
2010
Difference forms. Zbl 1148.39016
Mansfield, Elizabeth L.; Hydon, Peter E.
5
2008
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
16
2007
Integrability conditions for nonautonomous quad-graph equations. Zbl 1119.35079
Sahadevan, R.; Rasin, O. G.; Hydon, P. E.
5
2007
Conservation laws for integrable difference equations. Zbl 1122.70014
Rasin, Olexandr G.; Hydon, Peter E.
5
2007
Particle transport in a moving corner. Zbl 1095.76053
Laine-Pearson, F. E.; Hydon, P. E.
4
2006
Conservation laws for NQC-type difference equations. Zbl 1106.70013
Rasin, Olexandr G.; Hydon, Peter E.
3
2006
Introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology. Zbl 1188.68365
Hydon, Peter E.
1
2006
Multisymplectic conservation laws for differential and differential-difference equations. Zbl 1139.37305
Hydon, P. E.
13
2005
Vorticity and symplecticity in Lagrangian fluid dynamics. Zbl 1065.76011
Bridges, Thomas J.; Hydon, Peter E.; Reich, Sebastian
10
2005
Symmetry analysis of initial-value problems. Zbl 1087.34016
Hydon, Peter E.
6
2005
Conservation laws of discrete Korteweg-de Vries equation. Zbl 1128.37052
Rasin, Olexandr G.; Hydon, Peter E.
5
2005
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
29
2004
Self-invariant contact symmetries. Zbl 1081.34034
Hydon, Peter E.
1
2004
Classification of discrete symmetries of ordinary differential equations. Zbl 1141.34321
Laine-Pearson, F. E.; Hydon, P. E.
1
2003
Conservation laws of partial difference equations with two independent variables. Zbl 0987.35158
Hydon, P. E.
14
2001
On a variational complex for difference equations. Zbl 1018.39011
Mansfield, Elizabeth L.; Hydon, Peter E.
3
2001
Towards approximations which preserve integrals. Zbl 1356.65189
Mansfield, Elizabeth L.; Hydon, Peter E.
3
2001
Flow in pipes with non-uniform curvature and torsion. Zbl 0985.76015
Gammack, David; Hydon, Peter E.
3
2001
Discrete symmetries of differential equations. Zbl 1017.34034
Hydon, P. E.
1
2001
Symmetry methods for differential equations. A beginner’s guide. Zbl 0951.34001
Hydon, Peter E.
76
2000
Symmetries and first integrals of ordinary difference equations. Zbl 0991.39005
Hydon, P. E.
36
2000
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
33
2000
Discrete point symmetries of ordinary differential equations. Zbl 0923.34004
Hydon, P. E.
12
1998
How to find discrete contact symmetries. Zbl 0969.34009
Hydon, Peter E.
3
1998
Dispersion in oscillatory channel flow with coupled transverse wall motion. Zbl 0890.76078
Hydon, P. E.; Pedley, T. J.
2
1996
Conformal symmetries of first-order ordinary differential equations. Zbl 0916.34039
Hydon, P. E.
1
1996
Resonant advection by oscillatory flow in a curved pipe. Zbl 1194.76058
Hydon, P. E.
2
1994
Resonant and chaotic advection in a curved pipe. Zbl 0827.76014
Hydon, P. E.
1
1994
Axial dispersion in a channel with oscillating walls. Zbl 0774.76099
Hydon, P. E.; Pedley, T. J.
5
1993
all top 5

Cited by 372 Authors

16 Hydon, Peter Ellsworth
13 Folly-Gbetoula, Mensah K.
9 Sahadevan, Ramajayam
8 Popovych, Roman O.
7 Nyirenda, Darlison
6 Bridges, Thomas J.
6 Kara, Abdul Hamid
6 Mansfield, Elizabeth Louise
6 Mustafa, Muhammad Tahir
5 Azad, Hassan
5 Sinkala, Winter
4 Abd-el-Malek, Mina B.
4 Badran, Nagwa A.
4 Bihlo, Alexander
4 Cotter, Colin John
4 Dorodnitsyn, Vladimir A.
4 Hassan, Hossam S.
4 Holm, Darryl D.
4 Khalique, Chaudry Masood
4 Oberlack, Martin
4 Rashidi, Saeede
4 Ratliff, Daniel J.
4 Sophocleous, Christodoulos
4 Valiquette, Francis
4 Zharinov, Victor Victorovich
3 Bozhkov, Yuri Dimitrov
3 Carminati, John
3 Desbrun, Mathieu
3 Dimas, Stylianos
3 Fu, Jingli
3 Grammaticos, Basil
3 Jefferson, G. F.
3 Jena, J.
3 Kaptsov, E. I.
3 Laine-Pearson, Fiona E.
3 Marsden, Jerrold Eldon
3 Mnguni, Nkosingiphile
3 Muriel, Concepción
3 Nagavigneshwari, G.
3 Nucci, Maria Clara
3 Peng, Linyu
3 Ramani, Alfred
3 Sadeghi, Hamed
2 Abbas, Heba H.
2 Adler, Vsevolod Eduardovich
2 Agore, Ana-Loredana
2 Biswas, Anjan
2 Boll, Raphael
2 Boutros, Youssef Zaki
2 Bruzón, Maria Santos
2 Cheviakov, Alexei F.
2 Cimpoiasu, Rodica
2 Cresson, Jacky
2 Dastranj, Elham
2 Deré, Jonas
2 Dos Santos Cardoso-Bihlo, Elsa Maria
2 Feng, Zhaosheng
2 Fochesato, Christophe
2 Gandarias Núñez, Maria Luz
2 Gauding, Michael
2 Grant, Timothy J.
2 Hejazi, Seyed Reza
2 Hereman, Willy A.
2 Jhangeer, Adil
2 Kim, Pilwon
2 Kumar, Dharmendra
2 Kumar, Sachin
2 Leach, Peter Gavin Lawrence
2 Leok, Melvin
2 Llor, Antoine
2 Maheswari, C. Uma
2 Malinowska, Agnieszka Barbara
2 Marí Beffa, Gloria
2 McLachlan, Robert I.
2 Mezić, Igor
2 Militaru, Gigel
2 Mullen, Patrick
2 Paliathanasis, Andronikos
2 Pavlov, Dmitry V.
2 Pierret, Frédéric
2 Pryer, Tristan
2 Quispel, Gilles Reinout Willem
2 Ruiz, Adrián
2 Senthilvelan, Murugaian
2 van Horssen, Wilhem Teunis
2 Vaneeva, Olena O.
2 Viallet, Claude Michel
2 Wang, Jingping
2 Zaman, Fiazud Din
2 Zhang, Dajun
1 Abdel Kader, Abass H.
1 Abdel Latif, Mohamed Soror
1 Abraham-Shrauner, Barbara
1 Adem, Khadijo Rashid
1 Ahmad, Ahmad M.
1 Ahmad, Khalil
1 Al-Dweik, Ahmad Y.
1 Al-Omari, Shadi
1 Alshamrani, Mohamed M.
1 Anaya, Khaleel
...and 272 more Authors
all top 5

Cited in 106 Serials

16 Journal of Nonlinear Mathematical Physics
13 Journal of Mathematical Physics
9 Applied Mathematics and Computation
9 Journal of Difference Equations and Applications
9 Foundations of Computational Mathematics
8 Journal of Mathematical Analysis and Applications
8 Physica D
8 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Fluid Mechanics
7 Physics Letters. A
7 Theoretical and Mathematical Physics
6 Studies in Applied Mathematics
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Computer Physics Communications
5 Nonlinear Dynamics
5 Journal of Physics A: Mathematical and Theoretical
4 Computers & Mathematics with Applications
4 Journal of Engineering Mathematics
4 Abstract and Applied Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Computational Physics
3 Chaos, Solitons and Fractals
3 Journal of Geometry and Physics
3 Journal of Symbolic Computation
3 Discrete Dynamics in Nature and Society
3 European Journal of Mechanics. B. Fluids
3 International Journal of Geometric Methods in Modern Physics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Nonlinear Science and Applications
3 Journal of Mathematics
3 Computational Methods for Differential Equations
2 Acta Mechanica
2 Applicable Analysis
2 Letters in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Reports on Mathematical Physics
2 Mathematics and Computers in Simulation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quaestiones Mathematicae
2 Chaos
2 LMS Journal of Computation and Mathematics
2 Journal of High Energy Physics
2 Nonlinear Analysis. Real World Applications
2 Journal of Applied Mathematics
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
2 Frontiers of Mathematics in China
2 Advances in Mathematical Physics
2 Symmetry
2 Journal of Computational Dynamics
1 Modern Physics Letters B
1 General Relativity and Gravitation
1 International Journal of Solids and Structures
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Physica A
1 Physics Reports
1 BIT
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Mathematika
1 Meccanica
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 The Annals of Applied Probability
1 International Journal of Algebra and Computation
1 Journal of Global Optimization
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Archive of Applied Mechanics
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Experimental Mathematics
1 SIAM Journal on Scientific Computing
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Journal of Lie Theory
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Regular and Chaotic Dynamics
1 Far East Journal of Mathematical Sciences
1 Lobachevskii Journal of Mathematics
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Journal of Algebra and its Applications
1 Complex Variables and Elliptic Equations
1 Acta Mechanica Sinica
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Afrika Matematika
...and 6 more Serials
all top 5

Cited in 40 Fields

105 Partial differential equations (35-XX)
61 Dynamical systems and ergodic theory (37-XX)
57 Fluid mechanics (76-XX)
48 Difference and functional equations (39-XX)
34 Ordinary differential equations (34-XX)
34 Numerical analysis (65-XX)
31 Mechanics of particles and systems (70-XX)
17 Global analysis, analysis on manifolds (58-XX)
15 Mechanics of deformable solids (74-XX)
13 Nonassociative rings and algebras (17-XX)
13 Differential geometry (53-XX)
11 Topological groups, Lie groups (22-XX)
11 Biology and other natural sciences (92-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Quantum theory (81-XX)
7 Computer science (68-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Relativity and gravitational theory (83-XX)
5 Optics, electromagnetic theory (78-XX)
4 Real functions (26-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operator theory (47-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistics (62-XX)
1 Systems theory; control (93-XX)

Citations by Year