Results 121 to 130 of about 11,954,701 (266)

Efficiency Improvements of RANS-Based Analysis and Optimization using Implicit and Adjoint Methods on Unstructured Grids [PDF]

open access: yes, 2006
The efficiency of an unstructured grid finite volume RANS solver is signicantly improved using two implicit methods based on diering philosophies. The LU-SGS multigrid method aims to improve performance, while maintaining the low memory requirements and
Dwight, Richard
core  

Physics‐encoded transfer learning for scale‐up modeling of CHO cell bioreactors

open access: yesAIChE Journal, Volume 72, Issue 10, October 2026.
Abstract Developing reliable predictive models for mammalian cell bioreactors, particularly Chinese hamster ovary (CHO) cultures widely used in biopharmaceutical manufacturing, remains challenging due to severe data scarcity in industrial‐scale reactors.
Muyang Li, Ming Xiao, Zhe Wu
wiley   +1 more source

Multi-step Runge-Kutta methods [PDF]

open access: yes, 1968
Multi-step Runge-Kutta methods using method of ...
Rosen, J. S.
core  

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro   +2 more
wiley   +1 more source

On the accuracy of Runge-Kutta’s method [PDF]

open access: yesMathematics of Computation, 1951
openaire   +1 more source

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1165-1180, October 2026.
We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen   +3 more
wiley   +1 more source

QG‐Python: A Reproducible 1.5‐Layer Quasi‐Geostrophic Modelling Service With Direct Sparse Solvers, Spectral Stability Diagnostics and Filter Sensitivity Data

open access: yesGeoscience Data Journal, Volume 13, Issue 4, October 2026.
QG‐Python is an open, reproducible 1.5‐layer quasi‐geostrophic modelling service whose published diagnostics show that the classical von Neumann bound underestimates the true Leapfrog stability limit by a factor of 13.7, and that the Robert–Asselin–Williams filter reduces kinetic energy and enstrophy biases from ~21% and ~45% to under 4%.
Elias D. Nino‐Ruiz
wiley   +1 more source

Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

open access: yesAbstract and Applied Analysis
This study presents families of the fourth-order Runge–Kutta methods for solving a quadratic Riccati differential equation. From these families, the England version is more efficient than other fourth-order Runge–Kutta methods and practically well-suited
Wendafrash Seyid Yirga   +3 more
doaj   +1 more source

Multi‐Objective Bayesian Co‐Optimization of Parameterized Moving Horizon Estimation and Model Predictive Control

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 15, Page 7193-7213, October 2026.
ABSTRACT This paper proposes a Machine Learning (ML)‐enabled estimator‐controller design framework, in which a parameterized Model Predictive Controller (MPC) and a parameterized Moving Horizon Estimator (MHE) are jointly refined using Bayesian Optimization (BO).
Hossein Nejatbakhsh Esfahani   +1 more
wiley   +1 more source

An Improved Fifth-Order Runge-Kutta Method with Higher Accuracy and Efficiency for Solving Initial Value Problems

open access: yesScience and Technology Indonesia
Solving initial value problems (IVPs) in ordinary differential equations (ODEs) often requires numerical methods, with the fifth-order Runge-Kutta method being a widely used approach due to its balance between accuracy and computational efficiency.
Ummu Habibah   +4 more
doaj   +1 more source

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