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Multi-conformal-symplectic PDEs and discretizations (Q2628361)

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Language	Label	Description	Also known as
English	Multi-conformal-symplectic PDEs and discretizations	scientific article

Statements

scholarly article

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Multi-conformal-symplectic PDEs and discretizations (English)

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Journal of Computational and Applied Mathematics

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publication date

1 June 2017

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zbMATH Keywords

multi-symplectic PDE

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structure-preserving algorithm

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conformal symplectic

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cam.2017.04.008

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Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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Multisymplectic geometry, variational integrators, and nonlinear PDEs

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Symplectic integration of Hamiltonian wave equations

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Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations

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On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics

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On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. II: Second-order methods.

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A stabilization of multistep linearly implicit schemes for dissipative systems

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Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property

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Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations

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Conformal conservation laws and geometric integration for damped Hamiltonian PDEs

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Conformal Hamiltonian systems

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What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration

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Splitting methods

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Geometric integration of Hamiltonian systems perturbed by Rayleigh damping

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Structure-preserving algorithms for Birkhoffian systems

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Structure-preserving algorithms for Birkhoffian systems

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Multi-symplectic structures and wave propagation

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Numerical methods for Hamiltonian PDEs

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Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations

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Multi-symplectic Birkhoffian structure for PDEs with dissipation terms

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A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction

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Stabilizing the Benjamin–Feir instability

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Symmetry of Equations with Convection Terms

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Discontinuous Galerkin and multiscale variational schemes for a coupled damped nonlinear system of Schrödinger equations

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Symmetries and form-preserving transformations of one-dimensional wave equations with dissipation

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Bifurcation Analysis of Reaction-Diffusion Equations. VI. Multiply Periodic Travelling Waves

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Backward error analysis for multi-symplectic integration methods

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Multisymplectic box schemes and the Korteweg-de Vries equation.

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Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law

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Identifiers

zbMATH Open document ID

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10.1016/j.cam.2017.04.008

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2628361

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