A variational symplectic scheme based on Simpson's quadrature

DOI10.1007/978-3-031-38299-4_3MaRDI QIDQ6138210

Juan Antonio Rojas Quintero, François Dubois

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationsharmonic oscillatornumerical analysis

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Mechanical integrators derived from a discrete variational principle
• Geometric Numerical Integration
• Variational methods for the solution of problems of equilibrium and vibrations
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