Results 1 to 10 of about 302,503 (143)

A Dimension Splitting Generalized Interpolating Element-Free Galerkin Method for the Singularly Perturbed Steady Convection–Diffusion–Reaction Problems

open access: yesMathematics, 2021
By introducing the dimension splitting method (DSM) into the generalized element-free Galerkin (GEFG) method, a dimension splitting generalized interpolating element-free Galerkin (DS-GIEFG) method is presented for analyzing the numerical solutions of ...
Fengxin Sun   +3 more
doaj   +3 more sources

A Dimension Splitting-Interpolating Moving Least Squares (DS-IMLS) Method with Nonsingular Weight Functions

open access: yesMathematics, 2021
By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squares (IMLS) method with nonsingular weight function, a dimension splitting–interpolating moving least squares (DS-IMLS) method is first proposed.
Jufeng Wang, Fengxin Sun, Rongjun Cheng
doaj   +3 more sources

Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments

open access: yesEntropy, 2023
A novel dimension splitting method is proposed for the efficient numerical simulation of a biochemotaxis model, which is a coupled system of chemotaxis–fluid equations and incompressible Navier–Stokes equations.
Xingying Zhou   +3 more
doaj   +1 more source

Analyzing Three-Dimensional Laplace Equations Using the Dimension Coupling Method

open access: yesMathematics, 2023
Due to the low computational efficiency of the Improved Element-Free Galerkin (IEFG) method, efficiently solving three-dimensional (3D) Laplace problems using meshless methods has been a longstanding research direction.
Fengbin Liu   +3 more
doaj   +1 more source

Efficient operator splitting and spectral methods for the time-space fractional Black–Scholes equation

open access: yesResults in Applied Mathematics, 2021
In this paper, we aim at developing improved L1 operator splitting method and spectral method for Black–Scholes differential systems with fractional derivatives in both time and space.
Mustafa Almushaira, Feng Chen, Fei Liu
doaj   +1 more source

Deep Neural Network Algorithms for Parabolic PIDEs and Applications in Insurance and Finance

open access: yesComputation, 2022
In this paper we study deep neural network algorithms for solving linear and semilinear parabolic partial integro-differential equations with boundary conditions in high dimension. Our method can be considered as an extension of the deep splitting method
Rüdiger Frey, Verena Köck
doaj   +1 more source

A Hybrid Interpolating Meshless Method for 3D Advection–Diffusion Problems

open access: yesMathematics, 2022
A hybrid interpolating meshless (HIM) method is established for dealing with three-dimensional (3D) advection–diffusion equations. To improve computational efficiency, a 3D equation is changed into correlative two-dimensional (2D) equations. The improved
Zhijuan Meng, Xiaofei Chi, Lidong Ma
doaj   +1 more source

Balancing Fairness and Energy Efficiency in SWIPT-Based D2D Networks: Deep Reinforcement Learning Based Approach

open access: yesIEEE Access, 2022
In this study, we propose a method to balance between user fairness and energy efficiency of users in the context of simultaneous wireless information and power transfer (SWIPT)-based device-to-device (D2D) networks.
Eun-Jeong Han, Muy Sengly, Jung-Ryun Lee
doaj   +1 more source

High Precision Visual Dimension Measurement Method with Large Range Based on Multi-Prism and M-Array Coding

open access: yesSensors, 2022
The visual dimension measurement method based on non-splicing single lens has the contradiction between accuracy and range of measurement, which cannot be considered simultaneously.
Xiao Zhou   +5 more
doaj   +1 more source

Study on Mechanical Properties and Microstructure of Basalt Fiber Reactive Powder Concrete

open access: yesBuildings, 2022
In order to promote the wide application of reactive powder concrete (RPC) in practical engineering. In this paper, RPC was prepared using conventional and economical natural river sand instead of quartz sand and economical and environmentally friendly ...
Mo Liu   +3 more
doaj   +1 more source

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