Results 121 to 130 of about 11,954,654 (221)

Composite symplectic Runge-Kutta(-Nystrom) methods

, 1997
Non reducible composite Runge--Kutta methods can't be symplectic. For non reducible composite symplectic Runge--Kutta--Nystr\"om methods the order barrier is shown to be ...
PATERNOSTER, Beatrice
core  

Tolerance Proportionality and Computational Stability in Adaptive Parallel-in-Time Runge–Kutta Methods

Algorithms
In this paper, we investigate how adaptive time-integration strategies can be effectively combined with parallel-in-time numerical methods for solving systems of ordinary differential equations.
Imre Fekete, Ferenc Izsák, Vendel P. Kupás, Gustaf Söderlind   +3 more
doaj   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 9, Page 1932-1944, September 2026.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

Strong Stability Preserving Two-Derivative Two-Step Runge-Kutta Methods

Mathematics
In this study, we introduce the explicit strong stability preserving (SSP) two-derivative two-step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht’s approach, comparing to the order conditions expressed in terms of rooted ...
Xueyu Qin, Zhenhua Jiang, Chao Yan
doaj   +1 more source

Simulation Study on Effects of Order and Step Size of Runge-Kutta Methods that Solve Contagious Disease and Tumor Models. [PDF]

J Comput Sci Syst Biol, 2016
Wang Z, Wang Q, Klinke DJ.
europepmc   +1 more source

Fully Programmable Slow Light Based on a Spinor Representation of Generalized Coupled‐Resonator‐Induced Transparency

Advanced Science, Volume 13, Issue 53, 24 September 2026.
A programmable coupled‐resonator‐induced transparency (CRIT) platform is proposed, generalizing classical electromagnetically induced transparency (EIT) via a spinor representation. By utilizing dual‐channel gauge fields and universal unitary operations, this architecture enables dynamically engineered, reconfigurable slow‐light bands on a silicon ...
Seungkyun Park, Beomjoon Chae, Hyungchul Park, Sunkyu Yu, Xianji Piao, Namkyoo Park   +5 more
wiley   +1 more source

Diagonally implicit symplectic Runge-Kutta methods with high algebraic and dispersion order. [PDF]

ScientificWorldJournal, 2014
Cong YH, Jiang CX.
europepmc   +1 more source

A practical electrodialysis model for accelerating system development

AIChE Journal, Volume 72, Issue 9, September 2026.
Abstract Empirical optimization of electrodialysis (ED) is dependent on repetitive experiments with incremental adjustments, which is cost prohibitive at scale. While models can reduce the costs associated with optimization and scale‐up, existing ED models are limited in application to specific use cases and tend to be developed for the exploration of ...
Smith Pittman, Douglas Fankell, Jason C. Quinn, Kenneth F. Reardon   +3 more
wiley   +1 more source

Runge-Kutta methods : some historical notes

, 1996
This centenary history of Runge-Kutta methods contains an appreciation of the early work of Runge, Heun, Kutta, and Nystr6m and a survey of some significant developments of these methods over the last hundred years.
Butcher, J.C., Wanner, Gerhard
core  

Exponentially Fitted Two-Derivative Runge-Kutta Methods for Simulation of Oscillatory Genetic Regulatory Systems. [PDF]

Comput Math Methods Med, 2015
Chen Z, Li J, Zhang R, You X.
europepmc   +1 more source