- Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
2012/08/01 by J. Squire, Jonathan Squire, Hong Qin +3 · 103 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Electromagnetic field #Formalism (music) #Integrator #Interpolation (computer graphics) #Invariant (physics) #Minification #Model Reduction and Neural Networks #Numerical methods for differential equations #Variational integrator #physics.acc-ph #physics.comp-ph #physics.plasm-ph
- Discrete mechanics and variational integrators
2001/05/01 by Jerrold E. Marsden, J. E. Marsden, Matthew West +1 · 1,145 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Backward Euler method #Computer science #Discretization #Dissipation #Integrator #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Noether's theorem #Numerical methods for differential equations #Physics #Quantum mechanics #Semi-implicit Euler method #Symplectic geometry #Symplectic integrator #Symplectic manifold #Variational integrator #Verlet integration