Results 41 to 50 of about 81,957 (247)
Volume preservation by Runge–Kutta methods [PDF]
Applied Numerical Mathematics, 2016 17 pages, as submitted to ...
Bader, Philipp +3 more
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MathematicsIn this paper, we study the asymptotical stability of the exact solutions of nonlinear impulsive differential equations with the Lipschitz continuous function f(t,x) for the dynamic system and for the impulsive term Lipschitz continuous delayed functions
Gui-Lai Zhang +3 more
doaj +1 more source
Factorized Runge–Kutta–Chebyshev Methods
Journal of Physics: Conference Series, 2017 The second-order extended stability Factorized Runge-Kutta-Chebyshev (FRKC2) class of explicit schemes for the integration of large systems of PDEs with diffusive terms is presented. FRKC2 schemes are straightforward to implement through ordered sequences of forward Euler steps with complex stepsizes, and easily parallelised for large scale problems on
openaire +3 more sources
Clean Up Behind You ‐ Novel Patterning Approach for Solid Immersion Lenses
Advanced Functional Materials, EarlyView.A focused ion beam (FIB) milling strategy enables rapid fabrication of solid immersion lenses (SILs) with smooth, debris‐free surfaces eliminating the need for post‐processing. The optimized pattern improves efficiency and surface quality. SILs containing NV centers are also investigated, confirming the technique's suitability for quantum and photonic ...
Aleksei Tsarapkin +10 more
wiley +1 more source
Derivation of Three-Derivative Two-Step Runge–Kutta Methods
MathematicsIn this paper, we develop explicit three-derivative two-step Runge–Kutta (ThDTSRK) schemes, and propose a simpler general form of the order accuracy conditions (p≤7) by Albrecht’s approach, compared to the order conditions in terms of rooted trees.
Xueyu Qin, Jian Yu, Chao Yan
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Continuous-Stage Runge–Kutta Approximation to Differential Problems
Axioms, 2022 In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge–Kutta methods named Hamiltonian Boundary Value Methods (HBVMs).
Pierluigi Amodio +2 more
doaj +1 more source
DIRK Schemes with High Weak Stage Order
, 2020 Runge-Kutta time-stepping methods in general suffer from order reduction: the observed order of convergence may be less than the formal order when applied to certain stiff problems.
A Ditkowski +9 more
core +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Advanced Science, EarlyView.Terahertz resonances in crystalline heterostructures could close a spectral gap between conventional electronics and photonics while opening new windows on non‐equilibrium lattice dynamics. Femtosecond optical screening of the depolarization field in epitaxial PbTiO3/SrTiO3 superlattices launches a collective polar mode that oscillates near 1 THz and ...
Deepankar Sri Gyan +13 more
wiley +1 more source
Superradiance and Broadband Emission Driving Fast Electron Dephasing in Open Quantum Systems
Advanced Science, EarlyView.We uncover the physical origin of ultrafast electron dephasing in solid‐state high‐harmonic generation by simulating the Lindblad equation for the dissipative Hubbard model. Coexistence of Dicke superradiance and broadband emission is revealed, whose destructive interference shortens the effective scattering time and provides a unified picture of ...
Gimin Bae, Youngjae Kim, Jae Dong Lee
wiley +1 more source