Results 91 to 100 of about 79,648 (296)

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

Intermediate boundary conditions for LOD, ADI and approximate factorization methods [PDF]

A general approach to determining the correct intermediate boundary conditions for dimensional splitting methods is presented. The intermediate solution U is viewed as a second order accurate approximation to a modified equation.
Leveque, R. J.
core   +1 more source

Application of Machine Learning in Heat Treatment Process Design of Carburized Steel

Materials Genome Engineering Advances, EarlyView.
To accelerate heat treatment design, we constructed a closed‐loop machine learning strategy involving multi‐source datasets and feature screening. The optimized model accurately predicts hardness and friction coefficients, successfully guiding the process optimization for two typical carburized steels with high experimental consistency.
Di Jiang, Yihao Zheng, Chunyang Luo, Xuefei Wang, Chi Zhang, Zhaodong Wang   +5 more
wiley   +1 more source

An extension of A-stability to alternating direction implicit methods [PDF]

An alternating direction implicit (ADI) scheme was constructed by the method of approximate factorization. An A-stable linear multistep method (LMM) was used to integrate a model two-dimensional hyperbolic-parabolic partial differential equation ...
Beam, R. M., Warming, R. F.
core   +1 more source

DynaTOF: Time‐Resolved Noncontrast Cerebral MR Angiography Using Spatially Modulated RF Saturation

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop a time‐resolved extension of three‐dimensional time‐of‐flight MR angiography, termed Dynamic TOF (DynaTOF), that exploits intrinsic RF saturation behavior to enable noncontrast visualization of cerebrovascular hemodynamics.
Naoyuki Takei, Keita Fujii, Xucheng Zhu, Yuichi Suzuki, Satoru Miyawaki, Motoyuki Umekawa, Satoshi Koizumi, Tetsuya Wakayama, Shiori Amemiya, Osamu Abe   +9 more
wiley   +1 more source

Semi-implicit and fully implicit shock-capturing methods for hyperbolic conservation laws with stiff source terms [PDF]

Some numerical aspects of finite-difference algorithms for nonlinear multidimensional hyperbolic conservation laws with stiff nonhomogenous (source) terms are discussed.
Shinn, J. L., Yee, H. C.
core   +1 more source

Time‐Conditioned Zero‐Shot Self‐Supervised Reconstruction for Accelerated 3D Ultra‐Low‐Field MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Ultra‐low‐field (ULF) MRI provides a cost‐effective, portable imaging option but has relatively low SNR and long acquisition times compared to standard clinical scans. This study presents a time‐conditioned zero‐shot self‐supervised learning image reconstruction framework (ULF‐ZS‐SSL) to accelerate 3D‐acquired single‐coil ULF MRI ...
Mart W. J. van Straten, Beatrice Lena, Chloé Najac, Ruben van den Broek, Peter Börnert, Andrew Webb, Yiming Dong   +6 more
wiley   +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

A Coupled Extended Finite Element–Cohesive Zone Model for Hydraulic Fracture Propagation Under Poroelastic Effects Across Different Propagation Regimes

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Numerical simulation of hydraulic fracturing remains challenging due to the strong coupling between geomechanics and fluid flow when modelling multiple physical mechanisms of rock deformation, fracture evolution and fluid leak‐off. This study develops a coupled hydraulic fracture propagation framework that combines the extended finite element ...
Ran Tao, Juliana Y. Leung, Samer Adeeb
wiley   +1 more source

Wide-Band Modeling On-Chip Spiral Inductors Using Frequency-Dependent Conformal ADI-FDTD Method

IEEE Access, 2019
To analyze on-chip spiral inductors efficiently, an alternating direction implicit (ADI) finite difference time-domain (FDTD) method is proposed for general dispersive media.
Hongxing Zheng, Yue Wu, Kanglong Zhang, Lu Wang, Mengjun Wang, Erping Li   +5 more
doaj   +1 more source