Results 41 to 50 of about 13,068 (272)
Functional continuous Runge–Kutta–Nyström methods
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Numerical methods for solving retarded functional differential equations of the second order with right-hand side independent of the function derivative are considered. The approach used by E. Nyström for second-order ordinary differential equations with
Alexey Eremin
doaj +1 more source
Structure-Preserving Analysis of Skeleton Structure of Solar Sail in the Deploying Process [PDF]
Xibei Gongye Daxue Xuebao, 2018 For the simplified dynamic model of the skeleton structure of solar sail in the solar power satellite via arbitrarily large phased array system (SPS-ALPHA) in the deploying process, the symplectic method is employed to simulate the dynamic behaviors of ...
doaj +1 more source
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
Strong Stability Preserving Integrating Factor Runge-Kutta Methods [PDF]
SIAM Journal on Numerical Analysis, 2017 Strong stability preserving (SSP) Runge-Kutta methods are often desired when evolving in time problems that have two components that have very different time scales.
Leah Isherwood +2 more
semanticscholar +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
Publications of the Research Institute for Mathematical Sciences, 1987 The author investigates two-step methods which use derivative evaluations at the beginning of the last and of the current step together with off- step values in the current step to construct families of explicit and implicit hybrid methods. He shows for \(r=2,3,4\), explicit methods using r off-step points of order \(r+3\) do not exist. The claims that
openaire +3 more sources
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
High-Order Special Two-Derivative Runge–Kutta Pairs
MathematicsThis paper presents the development and analysis of novel explicit special two-derivative Runge–Kutta (STDRK) pairs for the numerical integration of ordinary differential equations (ODEs), with a focus on achieving seventh-order accuracy and embedded ...
Ibraheem Alolyan +2 more
doaj +1 more source
Computers & Mathematics with Applications, 1986 A Runge-Kutta triple is obtained by adding a third Runge-Kutta formula to an embedded pair. The authors discuss the construction and implementation of Runge-Kutta triples and test the efficiency of a certain optimal triple by application to the gravitational two-body problem.
Dormand, J.R., Prince, P.J.
openaire +2 more sources
Runge–Kutta Residual Distribution Schemes [PDF]
Journal of Scientific Computing, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Warzynski, Andrzej +2 more
openaire +3 more sources