• Verlet integration (French pronunciation: [vɛʁˈlɛ]) is a numerical method used to integrate Newton's equations of motion. It is frequently used to calculate...
    28 KB (5,526 words) - 10:52, 31 July 2025
  • French harpsichordist Loup Verlet (born 1931), French physicist Raoul Verlet (1857–1923), French sculptor Verlet integration, a technique for computer...
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  • Thumbnail for Leapfrog integration
    particular, it is similar to the velocity Verlet method, which is a variant of Verlet integration. Leapfrog integration is equivalent to updating positions...
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  • simplification to the Störmer-Verlet integration and in a slightly different simplification to the leapfrog integration, increasing both the order of...
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  • particle-in-cell (PIC) algorithms. Energy drift Multisymplectic integrator Variational integrator Verlet integration Tuckerman, Mark E. (2010). Statistical Mechanics:...
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  • A Verlet list (named after Loup Verlet) is a data structure in molecular dynamics simulations to efficiently maintain a list of all particles within a...
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  • used what is now known as Verlet integration (a method for the numerical integration of equations of motion) and the Verlet list (a data structure that...
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  • Thumbnail for Molecular dynamics
    integrator Verlet–Stoermer integration Runge–Kutta integration Beeman's algorithm Constraint algorithms (for constrained systems) Cell lists Verlet list...
    84 KB (10,407 words) - 21:40, 30 July 2025
  • mean-value theorem Verlet integration — a popular second-order method Leapfrog integration — another name for Verlet integration Beeman's algorithm —...
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  • Thumbnail for Ragdoll physics
    the most common, other "pseudo-ragdoll" techniques have been used: Verlet integration: used by Hitman: Codename 47 and popularized by Thomas Jakobsen, this...
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  • Thumbnail for Midpoint method
    midpoint method. Rectangle method Heun's method Leapfrog integration and Verlet integration Süli & Mayers 2003, p. 328 Burden & Faires 2010, p. 286 Griffiths...
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  • LAMMPS (section Integrators)
    moving). Several integrators can be used with LAMMPS, including the velocity-Verlet integrator, Brownian dynamics, and rigid body integration. It also supports...
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  • t}}} where n and m are integers describing the resonance order. For Verlet integration, resonances up to the fourth order ( n m = 4 ) {\displaystyle \left({\frac...
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  • Thumbnail for Computational chemistry
    with computational efficiency. For instance, in MD, methods like Verlet integration or Beeman's algorithm are employed for their computational efficiency...
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  • Thumbnail for Carl Størmer
    To solve the resulting differential equations numerically, he used Verlet integration, which is therefore also known as Störmer's method. Ernst Brüche and...
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  • Runge–Kutta methods Euler integration Trapezoidal rule (differential equations) Verlet integration (French pronunciation: [vɛʁˈlɛ]): integrate Newton's equations...
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  • nuclei can be computed, to update the trajectories (using, e.g. the Verlet integration algorithm). In addition, however, the coefficients used to obtain...
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  • Thumbnail for Numerical methods for ordinary differential equations
    numerical integration illustrated by the Störmer–Verlet method. Acta Numerica, 12, 399-450. Nievergelt, Jürg (1964). "Parallel methods for integrating ordinary...
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  • an update of the geometry, similar to leapfrog integration and related to velocity Verlet integration. Considering Newton's second law of motion (force...
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  • what is commonly known as Beeman's method. It is a variant of the Verlet integration method. It produces identical positions, but uses a different formula...
    6 KB (1,276 words) - 16:45, 29 October 2022
  • Thumbnail for Mixed quantum-classical dynamics
    trajectories can be integrated with conventional methods, as the Verlet algorithm. Such integration requires the forces acting on the nuclei. They are proportional...
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  • ends. Typical integration methods used in a discrete element method are: the Verlet algorithm, velocity Verlet, symplectic integrators, the leapfrog method...
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  • Buchberger's algorithm invented for algebra Frenchman Verlet (re)discovers a numerical integration algorithm, (first used in 1791 by Delambre, by Cowell...
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  • Thumbnail for List of gay novels prior to the Stonewall riots
    sexagenarian landlady, concierge and occultist in her spare time, Madame Verlet. She becomes a true initiator of the character and a complex tutelary figure...
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  • Kawasaki dynamics is invented for the Ising model. Loup Verlet (re)discovers a numerical integration algorithm, (first used in 1791 by Jean Baptiste Delambre...
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  • (consisting of many commonly used force fields) and built in integrators like Langevin, Verlet, Nosé–Hoover, and Brownian. Free and open-source software...
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  • Thumbnail for Equation of state
    264 (1–2): 174–183. doi:10.1016/j.fluid.2007.11.015. Levesque, Dominique; Verlet, Loup (1969-06-05). "Perturbation Theory and Equation of State for Fluids"...
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  • Thumbnail for Popayán
    inauguration of the monument to Sabio Caldas, a piece by the French sculptor Raoul Verlet, which has stood there since. A replica of it exists in the Plazoleta de...
    36 KB (3,689 words) - 04:06, 9 June 2025
  • Thumbnail for Gerhard Wanner
    Lubich, C.; Wanner, G. (2003). "Geometric numerical integration illustrated by the Stormer-Verlet method". Acta Numerica. 12 (12): 399–450. doi:10...
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  • While RATTLE works the same way as SHAKE, yet using the Velocity Verlet time integration scheme, WIGGLE extends SHAKE and RATTLE by using an initial estimate...
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