Results 31 to 40 of about 11,954,654 (221)

Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations

Advances in Difference Equations, 2017
This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for the FIDEs are given.
Qing Liao, Liping Wen
doaj   +1 more source

A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes

The Astrophysical Journal, 2022
In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou, Hongxing Zhang, Wenfang Liu, Xin Wu   +3 more
doaj   +1 more source

Impulsive Discrete Runge–Kutta Methods and Impulsive Continuous Runge–Kutta Methods for Nonlinear Differential Equations with Delayed Impulses

Mathematics
In 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, Zhi-Yong Zhu, Yu-Chen Wang, Chao Liu   +3 more
doaj   +1 more source

Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models [PDF]

Geoscientific Model Development, 2018
The efficient simulation of non-hydrostatic atmospheric dynamics requires time integration methods capable of overcoming the explicit stability constraints on time step size arising from acoustic waves.
D. J. Gardner, J. E. Guerra, F. P. Hamon, D. R. Reynolds, P. A. Ullrich, C. S. Woodward   +5 more
doaj   +1 more source

Synchronization‐Dissipation in the Cardiorespiratory System

Advanced Science, EarlyView.
By modeling central nervous coupling and viscoelastic interactions in the cardiorespiratory system we show that synchronization produces a 10% gain in cardiac efficiency in humans. It is surmised that respiratory sinus arrhythmia improves cardiac pumping efficiency by reducing dynamic stress and power dissipation in the pulmonary vasculature.
Joshua R. Border, Alain Nogaret, Andrew Lefevre, Vishal Jain   +3 more
wiley   +1 more source

Construction of exponentially fitted symplectic Runge-Kutta-Nyström methods from partitioned Runge-Kutta methods [PDF]

, 2014
In this work we derive exponentially fitted symplectic Runge-Kutta-Nystr¨om (RKN) methods from symplectic exponentially fitted partitioned Runge-Kutta (PRK) methods methods.
T. E. Simos, Zacharoula Kalogiratou, Kalogiratou, Z., Theodore Monovasilis, Monovasilis, Th., E. Simos, T.   +5 more
core   +1 more source

Derivation of Three-Derivative Two-Step Runge–Kutta Methods

Mathematics
In 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
doaj   +1 more source

DDSurfer: A Weakly‐Supervised Dual‐Stream Deep Learning Framework for Cortical Surface Reconstruction From Diffusion MRI

Advanced Science, EarlyView.
DDSurfer reconstructs cortical surfaces directly from diffusion MRI without requiring T1‐weighted scans. By fusing complementary microstructural features and learning diffeomorphic deformations, it efficiently generates accurate white matter and pial surfaces, improving geometric fidelity and morphometric reliability across datasets for robust surface ...
Chengjin Li, Wei Zhang, Xi Zhu, Yuqian Chen, Nir A. Sochen, Jarrett Rushmore, Carl‐Fredrik Westin, Yogesh Rathi, Lauren J. O'Donnell, Ofer Pasternak, Fan Zhang   +10 more
wiley   +1 more source

Additive Runge–Kutta methods for the resolution of linear parabolic problems [PDF]

, 2002
We study the consistency for general additive Runge–Kutta methods in the integration of linear nonhomogeneous problems, obtaining necessary and sufficient conditions of order p, for arbitrary values of p.
Bujanda, B. [0000-0001-7867-8805], Jorge, J.C., Jorge, J.C. [0000-0001-5906-6125], Bujanda, B.   +3 more
core   +1 more source

Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]

, 2006
Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
core   +1 more source