Results 61 to 70 of about 82,462 (247)

Controlling Dynamical Systems Into Unseen Target States Using Machine Learning

Advanced Intelligent Systems, EarlyView.
Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr, Alexander Haluszczynski, Christoph Räth   +2 more
wiley   +1 more source

More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence

, 2019
Time integration of Fourier pseudo-spectral DNS is usually performed using the classical fourth-order accurate Runge--Kutta method, or other methods of second or third order, with a fixed step size.
Ketcheson, David I., Mortensen, Mikael, Parsani, Matteo, Schilling, Nathanael   +3 more
core   +1 more source

Time‐Delayed Spiking Reservoir Computing Enables Efficient Time Series Prediction

Advanced Intelligent Systems, EarlyView.
This study proposes time‐delayed spiking reservoir computing (TDSRC) for efficient time series prediction. By concatenating time‐lagged states, TDSRC constructs an expanded readout feature vector without altering internal reservoir dynamics. This approach enables highly accurate forecasting with significantly fewer neurons, providing a resource ...
Pin Jin, Ren Cao, Zhongxue Gan, Siyang Leng   +3 more
wiley   +1 more source

Two‐Phase Nanofluid Flow in a Non‐Newtonian Model Past a Deformable Sheet With Magnetized Environmental Effects: Statistical Modeling and ANOVA Analysis

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo, MD. Shamshuddin, Subhajit Panda, Umair Khan   +3 more
wiley   +1 more source

Some notes on summation by parts time integration methods

Results in Applied Mathematics, 2019
Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such as ...
Hendrik Ranocha
doaj   +1 more source

Economical Runge-Kutta methods

Rendiconti di Matematica e delle Sue Applicazioni, 1995
This paper deals with explicit Runge-Kutta methods of the type \(y_{n + 1} = y_ n + h \sum^ s_{i = 2} b_ i K^ n_ i\), \(K^ n_ i = f(x_ n + c_ ih, y_ n + ha_{i1} K^{n-1}_ s + h \sum^{i - 1}_{j = 2} a_{ij} K^ n_ j)\), with \(b_ 1 = 0\), \(c_ s = 1\). By using information from the previous step one function evaluation is saved.
Costabile Francesco, Caira Rosanna, Gualtieri Maria Italia   +2 more
openaire   +3 more sources

A Modular Mechanistic In Silico Model for In Vitro Transcription Process Yield and Product Quality Prediction

Biotechnology and Bioengineering, EarlyView.
ABSTRACT In vitro transcription (IVT) plays a critical role in the manufacture of mRNA vaccines and therapeutics. Optimizing mRNA yield and ensuring product quality, such as capping efficiency and integrity, are essential but mechanistically complex. This study presents a modular mechanistic model of the IVT process to advance scientific understanding ...
Keqi Wang, Keilung Choy, Eli Reiser, Jinxiang Pei, Hua Zheng, Aparajita Dasgupta, Fuqiang Cheng, Guogang Dong, Bhanu Chandra Mulukutla, Joshua Mannheimer, Carolyn Huang, Hooman Farsani, Wei Xie   +12 more
wiley   +1 more source

Parallel Execution of Runge-Kutta Methods for Solving Ordinary Differential Equations [PDF]

, 2004
As we know Runge-Kutta method is a one step method hence it is quite limited in terms of implementation in parallel, here we going to exploit and extend the favourable characteristic of Runge-Kutta method so that they can be implemented in parallel.
Siri, Zailan
core  

Beyond hydrogen: Process design of a biogas steam reformer for Fischer–Tropsch synthesis

The Canadian Journal of Chemical Engineering, EarlyView.
The effect of pressure and steam to carbon ratio on carbon conversion. Abstract We present an analysis of a pilot‐scale multi‐tubular biogas steam reforming reactor, part of a sustainable aviation fuel (SAF) development project in Brazil. The novelty of this work is the application of a new, validated power law kinetic model, specifically developed for
Rafael Belo Duarte, Rafael Dei Tós Barreto, João Lourenço Castagnari Willimann Pimenta, Luiz Mario de Matos Jorge   +3 more
wiley   +1 more source

Evolutionary Optimisation of Runge–Kutta Methods for Oscillatory Problems

Mathematics
We propose a new strategy for constructing Runge–Kutta (RK) methods using evolutionary computation techniques, with the goal of directly minimising global error rather than relying on traditional local properties.
Zacharias A. Anastassi
doaj   +1 more source