Results 51 to 60 of about 32,630,588 (240)
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
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 +3 more
wiley +1 more source
FATODE: A Library for Forward, Adjoint, and Tangent Linear Integration of ODEs [PDF]
, 2011 FATODE is a FORTRAN library for the integration of ordinary differential equations with direct and adjoint sensitivity analysis capabilities. The paper describes the capabilities, implementation, code organization, and usage of this package.
Sandu, Adrian, Zhang, Hong
core +1 more source
Advanced Electronic Materials, EarlyView.Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa +6 more
wiley +1 more source
Effective order strong stability preserving Runge–Kutta methods [PDF]
, 2012 We apply the concept of effective order to strong stability preserving (SSP) explicit Runge–Kutta methods. Relative to classical Runge–Kutta methods, effective order methods are designed to satisfy a relaxed set of order conditions, but yield higher ...
Hadjimichael, Y. +3 more
core
AIChE Journal, EarlyView.Abstract Emulsion separation remains a persistent challenge in chemical and process industries due to the metastable nature of dispersed droplets. In gravity separators, the overall separation rate is governed by the formation of a densely packed zone (DPZ) of deforming and coalescing droplets that mediates between the dispersed and continuous phases ...
Andrei Zlobin +8 more
wiley +1 more source
Rosenbrock Type Methods for Solving Non-Linear Second-Order in Time Problems
Mathematics, 2021 In this work, we develop a new class of methods which have been created in order to numerically solve non-linear second-order in time problems in an efficient way.
Maria Jesus Moreta
doaj +1 more source
Another approach to Runge-Kutta methods [PDF]
, 2004 The condition equations are derived by the introduction of a system of equivalent differential equations, avoiding the usual formalism with trees and elementary differentials.
Traas, C.R.
core +1 more source
Predicting Performance of Hall Effect Ion Source Using Machine Learning
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This study introduces HallNN, a machine learning tool for predicting Hall effect ion source performance using a neural network ensemble trained on data generated from numerical simulations. HallNN provides faster and more accurate predictions than numerical methods and traditional scaling laws, making it valuable for designing and optimizing Hall ...
Jaehong Park +8 more
wiley +1 more source
Preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs [PDF]
Modeling, Identification and Control, 2006 Recently, the authors introduced a preconditioner for the linear systems that arise from fully implicit Runge-Kutta time stepping schemes applied to parabolic PDEs (9).
Gunnar A. Staff +2 more
doaj +1 more source