Results 51 to 60 of about 11,954,654 (221)
Mixed collocation methods for y” = f(x , y) [PDF]
The second-order initial value problem y" = f(x,y), y(x(_0)) = y(_0), y'(x(_0)) = z(_0) which does not contain the first derivative explicitly and where the solution is oscillatory has been of great interest for many years.
Duxbury, S.C., Duxbury, Suzanne Claire
core
Preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs [PDF]
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
Radiative Hybrid Nanofluid Flow Over a Porous Riga Surface: A Fuzzy–ANN Modeling Approach
ABSTRACT This study proposes a fuzzy–ANN model to investigate the nonlinear thermal transport in a tangent hyperbolic (Tanh) hybrid nanofluid flow past a porous Riga surface, considering the effects of Rosseland diffusion, chemical reactions, and internal volumetric heating.
Azad Hussain, Rabia Zetoon, Reeha Iqbal
wiley +1 more source
Collocation methods for a class of second order initial value problems with oscillatory solutions [PDF]
We derive and analyse two families of multistep collocation methods for periodic initial-value problems of the form y" = f(x, y); y((^x)o) = yo, y(^1)(xo) = zo involving ordinary differential equations of second order in which the first derivative ...
Booth, Andrew S.
core
A modified version of explicit Runge-Kutta methods for energy-preserving [PDF]
summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge-Kutta methods is ...
Hu, Guang-Da
core +1 more source
Abstract Macaúba (Acrocomia aculeata), a native species from Brazilian biomes, has emerged as a sustainable alternative to vegetable oil production. Its fruit presents high oil yield (3–6 ton/ha), extracted from its kernel and pulp. While the kernel is suitable for food and cosmetics application, the pulp oil has been considered as a promising ...
Maria Luiza M. B. B. Gonçalves +4 more
wiley +1 more source
Some notes on summation by parts time integration methods
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
Automated Data‐Efficient Symbolic Regression for Interpretable Bioprocess Model Development
ABSTRACT Bioprocessing is central to the sustainable manufacture of pharmaceuticals, food products, and renewable chemicals. Consequently, developing high‐fidelity kinetic models to facilitate accurate process prediction, optimisation, and scale‐up is a top research priority.
Luca Riezzo +3 more
wiley +1 more source
Application of time step adaptation on the simulation of a gust encounter [PDF]
The goal of this work is to implement an adaptive time step size control algorithm using embedded Runge-Kutta methods in the DLR flow solver TAU.
Lenz, Christian
core
Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source

