Multisymplectic integrator (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Multisymplectic integrator" in English language version.

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15harvard.edu

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11psu.edu

207^th place

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5semanticscholar.org

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1surrey.ac.uk

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5,997^th place

doi.org (Global: 2^nd place; English: 2^nd place)

Bridges 1997, p. 1374; Leimkuhler & Reich 2004, p. 335–336. Bridges, Thomas J. (1997), "A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities" (PDF), Proc. R. Soc. Lond. A, 453 (1962): 1365–1395, Bibcode:1997RSPSA.453.1365B, doi:10.1098/rspa.1997.0075, S2CID 122524451. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 186 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Bridges & Reich 2001, p. 186 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Bridges & Reich 2001, p. 187; Leimkuhler & Reich 2004, pp. 337–338 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 187; Leimkuhler & Reich 2004, p. 341. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 337. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 342. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 343. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich (2001, p. 190) refers to Abbott & Basco (1989) for the work by Preissman. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Islas & Schober 2004, pp. 591–593. Islas, A.L.; Schober, C.M. (2004), "On the preservation of phase space structure under multisymplectic discretization", J. Comput. Phys., 197 (2): 585–609, Bibcode:2004JCoPh.197..585I, doi:10.1016/j.jcp.2003.12.010.
Bridges & Reich 2001, p. 190; Leimkuhler & Reich 2004, p. 344. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, Thm 1; Leimkuhler & Reich 2004, p. 345. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.

harvard.edu (Global: 18^th place; English: 17^th place)

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Bridges 1997, p. 1374; Leimkuhler & Reich 2004, p. 335–336. Bridges, Thomas J. (1997), "A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities" (PDF), Proc. R. Soc. Lond. A, 453 (1962): 1365–1395, Bibcode:1997RSPSA.453.1365B, doi:10.1098/rspa.1997.0075, S2CID 122524451. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 186 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Leimkuhler & Reich 2004, p. 335 Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Leimkuhler & Reich 2004, pp. 339–340 Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 186 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Leimkuhler & Reich 2004, p. 336 Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 187; Leimkuhler & Reich 2004, pp. 337–338 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 187; Leimkuhler & Reich 2004, p. 341. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 337. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 342. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 343. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich (2001, p. 190) refers to Abbott & Basco (1989) for the work by Preissman. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Islas & Schober 2004, pp. 591–593. Islas, A.L.; Schober, C.M. (2004), "On the preservation of phase space structure under multisymplectic discretization", J. Comput. Phys., 197 (2): 585–609, Bibcode:2004JCoPh.197..585I, doi:10.1016/j.jcp.2003.12.010.
Bridges & Reich 2001, p. 190; Leimkuhler & Reich 2004, p. 344. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, Thm 1; Leimkuhler & Reich 2004, p. 345. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Bridges & Reich 2001, p. 186 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Bridges & Reich 2001, p. 186 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Bridges & Reich 2001, p. 187; Leimkuhler & Reich 2004, pp. 337–338 Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, p. 187; Leimkuhler & Reich 2004, p. 341. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 337. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 342. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 343. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich (2001, p. 190) refers to Abbott & Basco (1989) for the work by Preissman. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8.
Bridges & Reich 2001, p. 190; Leimkuhler & Reich 2004, p. 344. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Bridges & Reich 2001, Thm 1; Leimkuhler & Reich 2004, p. 345. Bridges, Thomas J.; Reich, Sebiastian (2001), "Multi-Symplectic Integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity", Phys. Lett. A, 284 (4–5): 184–193, Bibcode:2001PhLA..284..184B, CiteSeerX 10.1.1.46.2783, doi:10.1016/S0375-9601(01)00294-8. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.

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Bridges 1997, p. 1374; Leimkuhler & Reich 2004, p. 335–336. Bridges, Thomas J. (1997), "A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities" (PDF), Proc. R. Soc. Lond. A, 453 (1962): 1365–1395, Bibcode:1997RSPSA.453.1365B, doi:10.1098/rspa.1997.0075, S2CID 122524451. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 337. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 342. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.
Moore & Reich 2003; Leimkuhler & Reich 2004, p. 343. Moore, Brian; Reich, Sebastian (2003), "Backward error analysis for multi-symplectic integration methods", Numer. Math., 95 (4): 625–652, CiteSeerX 10.1.1.163.8683, doi:10.1007/s00211-003-0458-9, S2CID 9669195. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.

surrey.ac.uk (Global: 8,396^th place; English: 5,997^th place)

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Bridges 1997, p. 1374; Leimkuhler & Reich 2004, p. 335–336. Bridges, Thomas J. (1997), "A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities" (PDF), Proc. R. Soc. Lond. A, 453 (1962): 1365–1395, Bibcode:1997RSPSA.453.1365B, doi:10.1098/rspa.1997.0075, S2CID 122524451. Leimkuhler, Benedict; Reich, Sebastian (2004), Simulating Hamiltonian Dynamics, Cambridge University Press, Bibcode:2004shd..book.....L, ISBN 978-0-521-77290-7.

Multisymplectic integrator (English Wikipedia)

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