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We review recent advances in the numerical analysis of the Monge-Amp\`ere equation. Various computational techniques are discussed including wide-stencil finite difference schemes, two-scaled methods, finite element methods, and methods…

Numerical Analysis · Mathematics 2024-12-20 Michael Neilan , Abner J. Salgado , Wujun Zhang

The dynamics of anisotropic particles are dictated by forces and torques that can be challenging to mathematically represent in computer simulations. Several data-driven approaches have been developed to approximate these interactions, but…

Soft Condensed Matter · Physics 2025-12-19 Mohammadreza Fakhraei , Michaela Bush , Chris A. Kieslich , Michael P. Howard

This paper discusses and analyses two domain decomposition approaches for electromagnetic problems that allow the combination of domains discretised by either N\'ed\'elec-type polynomial finite elements or spline-based isogeometric…

Computational Engineering, Finance, and Science · Computer Science 2019-01-04 Annalisa Buffa , Jacopo Corno , Carlo de Falco , Sebastian Schöps , Rafael Vázquez

Magnetic quadrupoles are essential components of particle accelerators like the Large Hadron Collider. In order to study numerically the stability of the particle beam crossing a quadrupole, a large number of particle revolutions in the…

Computational Engineering, Finance, and Science · Computer Science 2019-06-26 Abele Simona , Luca Bonaventura , Thomas Pugnat , Barbara Dalena

Simulations carried out with COMSOL software in order to study the electrical resistivity of rectangular samples are reported. The comparison of the results with the four-probe method allows to understand the meaning of the geometric factor…

Computational Physics · Physics 2023-04-18 F. S. Oliveira , L. M. S. Alves , M. S. da Luz , E. C. Romão , C. A. M. dos Santos

We present novel, deterministic, efficient algorithms to compute the symmetries of a planar algebraic curve, implicitly defined, and to check whether or not two given implicit planar algebraic curves are similar, i.e. equal up to a…

Algebraic Geometry · Mathematics 2018-01-31 Juan Gerardo Alcázar , Miroslav Lávička , Jan Vršek

The effects of resonant magnetic perturbations on the turbulent transport of fast ions in tokamak devices are investigated using a theoretical transport model of test-particle type. The direct numerical simulation method is used to compute,…

Plasma Physics · Physics 2024-06-19 D. I. Palade

In a multi-modal system which combines thruster and legged locomotion such our state-of-the-art Harpy platform to perform dynamic locomotion. Therefore, it is very important to have a proper estimate of Thruster force. Harpy is a bipedal…

A class of trigonometric integrator is proposed for the constrained ring polymer Hamiltonian dynamics, arising from the path integral molecular dynamics. The integrator is formulated by the composition of flows, thereby integrating the…

Quantum Physics · Physics 2016-01-05 Yunfeng Xiong

We describe a method to compute thermodynamic quantities in the harmonic approximation for identical bosons and fermions in an external confining field. We use the canonical partition function where only energies and their degeneracies…

Quantum Physics · Physics 2012-02-16 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

Spin torques, that is, effects of conduction electrons on magnetization dynamics, are calculated microscopically in the first order in spatial gradient and time derivative of magnetization. Special attention is paid to the so-called…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. Kohno , G. Tatara , J. Shibata , Y. Suzuki

In ordinary turbulence research it has been a long standing tradition to solve the equations in spectral space giving the best possible accuracy. This is indeed a natural choice for incompressible problems with periodic boundaries, but it…

Astrophysics · Physics 2009-11-07 A. Brandenburg , W. Dobler

Accurate numerical simulation of fault and fracture mechanics is critical for the performance and safety assessment of many subsurface systems. The discretized representation of discontinuity surfaces and the robust simulation of their…

Numerical Analysis · Mathematics 2026-03-20 Daniele Moretto , Andrea Franceschini , Massimiliano Ferronato

We study the torque arising between two corrugated metallic plates due to the interaction with electromagnetic vacuum. This Casimir torque can be measured with torsion pendulum techniques for separation distances as large as 1$\mu$m. It…

Quantum Physics · Physics 2010-12-17 Robson B. Rodrigues , Paulo A. Maia Neto , A. Lambrecht , S. Reynaud

Lindblad resonances have been suggested as an important mechanism for angular momentum transport and heating in discs in binary black hole systems. We present the basic equations for the torque and heating rate for relativistic thin discs…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Christopher M. Hirata

Convenient and simple numerical techniques for performing quantum computations based on matrix representations of Hilbert space operators are presented and illustrated by various examples. The applications include the calculations of…

Quantum Physics · Physics 2016-08-15 H J Korsch , K Rapedius

State of the art legged robots are either capable of measuring torque at the output of their drive systems, or have transparent drive systems which enable the computation of joint torques from motor currents. In either case, this sensor…

In the present work, a kind of trigonometric collocation methods based on Lagrange basis polynomials is developed for effectively solving multi-frequency oscillatory second-order differential equations…

Numerical Analysis · Mathematics 2018-02-22 Bin Wang , Xinyuan Wu , Fanwei Meng

We give an algorithm to compute weighted Ehrhart functions of lattice polytopes for polynomial weights using Lagrange interpolation. We show how to compute generating functions of polynomials using those of unit cubes and Eulerian numbers,…

Combinatorics · Mathematics 2026-01-06 Enrique Reyes , Carlos E. Valencia , Rafael H. Villarreal

We propose a novel method for the estimation of rotor position, speed, and torque of a motor-pump system consisting of a progressive cavity pump (PCP) driven by an induction motor which operates under V/f open-loop control. We compute the…

Systems and Control · Electrical Eng. & Systems 2020-10-09 Yashar Kouhi , Jens Müller , Sebastian Leonow , Martin Mönnigmann