Results 41 to 50 of about 6,277 (191)

Higher-order in time “quasi-unconditionally stable” ADI solvers for the compressible Navier–Stokes equations in 2D and 3D curvilinear domains [PDF]

, 2015
This paper introduces alternating-direction implicit (ADI) solvers of higher order of time-accuracy (orders two to six) for the compressible Navier–Stokes equations in two- and three-dimensional curvilinear domains.
Bruno, Oscar P., Cubillos, Max
core   +2 more sources

A Coupled Hydrological‐Hydrodynamic Modelling Approach for Assessing the Impacts of Multiple Natural Flood Management Interventions on Downstream Flooding

Journal of Flood Risk Management, Volume 18, Issue 4, December 2025.
ABSTRACT While natural flood management (NFM) as a flood mitigation strategy is becoming widely used, there remains a lack of evidence regarding the effectiveness of different NFM scenarios under high flow events. To demonstrate how different types and extents of NFM interventions interact to flood peaks at larger catchment scales, combined scenarios ...
Qiuyu Zhu, Megan Klaar, Thomas Willis, Joseph Holden   +3 more
wiley   +1 more source

An Intelligent Assistive System for Autistic Learners

Engineering Reports, Volume 7, Issue 11, November 2025.
Pipeline of the proposed eye‐gaze‐based character prediction framework showing major stages from data collection to model fine‐tuning. ABSTRACT This study presents the design and implementation of an educational assistive system tailored for individuals with Autism Spectrum Disorder (ASD), leveraging eye‐tracking technology and machine learning ...
Sadia Afrin, Afrin Ahmed, Mehrin Anannya, Samrat Kumar Dey, Md. Moshiur Rahman, Rashed Mazumder   +5 more
wiley   +1 more source

The High-Order ADI Difference Method and Extrapolation Method for Solving the Two-Dimensional Nonlinear Parabolic Evolution Equations

Mathematics
In this paper, the numerical solution for two-dimensional nonlinear parabolic equations is studied using an alternating-direction implicit (ADI) Crank–Nicolson (CN) difference scheme.
Xin Shen, Xuehua Yang, Haixiang Zhang
doaj   +1 more source

Perfectly Matched Layers in a Divergence Preserving ADI Scheme for Electromagnetics

, 2011
For numerical simulations of highly relativistic and transversely accelerated charged particles including radiation fast algorithms are needed. While the radiation in particle accelerators has wavelengths in the order of 100 um the computational domain ...
A. Adelmann, Berenger, C. Kraus, Liu, Namiki, P. Arbenz, Smithe, Taflove, Wang, Yee, Zheng   +10 more
core   +1 more source

Higher-Order Linear-Time Unconditionally Stable Alternating Direction Implicit Methods for Nonlinear Convection-Diffusion Partial Differential Equation Systems [PDF]

, 2014
We introduce a class of alternating direction implicit (ADI) methods, based on approximate factorizations of backward differentiation formulas (BDFs) of order p≥2, for the numerical solution of two-dimensional, time-dependent, nonlinear, convection ...
Bruno, Oscar P., Jimenez, Edwin
core   +1 more source

Parallelization of Faber Polynomial Based Propagators for Laser Applications

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Volume 38, Issue 4, July/August 2025.
ABSTRACT In order to simulate a laser system, the evaluation of a complex semilinear master equation is needed, including the description of the wave propagation by Maxwell's equations and appropriate rate equations. The denser the spatial discretization, the slower the computation time of the time‐dependent propagator.
Wladimir Plotnikov, Dirk Schulz
wiley   +1 more source

Maximum Norm Error Estimates of ADI Methods for a Two-Dimensional Fractional Subdiffusion Equation

Advances in Mathematical Physics, 2013
This paper is concerned with two alternating direction implicit (ADI) finite difference methods for solving a two-dimensional fractional subdiffusion equation.
Yuan-Ming Wang
doaj   +1 more source

An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions

Advances in Difference Equations, 2017
In this paper, we propose an efficient alternating direction implicit (ADI) Galerkin method for solving the time-fractional partial differential equation with damping, where the fractional derivative is in the sense of Caputo with order in ( 1 , 2 ) $(1 ...
An Chen, Changpin Li
doaj   +1 more source

EM Pulse Propagation Modeling for Tunnels by Three-Dimensional ADI-TDPE Method

IEEE Access, 2020
The three-dimensional time domain parabolic equation (3D-TDPE) is derived to simulate the EM pulse propagation in straight, curved tunnels. Then the finite differential (FD) method is applied to accurately and flexibly describe the fine structures in the
Yu Sheng Li, Yu Qian Bian, Zi He, Ru-Shan Chen   +3 more
doaj   +1 more source