检索结果-内蒙古大学图书馆

The Artificial Neural Network Optimization for Thermally Magnetized Williamson Fluid Flow over a Porous Surface

International Journal of Applied and Computational Mathematics 2025年第2期11卷 1-20页

作者： Priyadharshini, P. Karpagam, V. Department of Mathematics PSG College of Arts and Science Tamil Nadu Coimbatore 641014 India

The current scientific work examines a pseudo-plastic Williamson fluid over a homogenous porous media. Momentum and energy equations refer to the executive branch partial differential equations (PDE). A new transformation and symmetry analysis scaling group are applied to these PDEs to convert them into ordinary differential equations (ODEs). The numerical algorithm utilized to perform the BVP4C solver from the MATLAB series solves these ODEs. The present research explores the impact of different physical parameters on temperature and velocity distributions. The coefficient of skin friction (Cfx) and the local Nusselt number (Nux) are employed to illustrate graphs and table values. Furthermore, Machine Learning (ML) models adopted Multiple Linear Regression (MLR) to predict physical quantities with a 95% accuracy. Subsequently, implementing the Levenberg-Marquardt Artificial Neural Network approach handles complex nonlinear problems, accurate predictions, optimizations, and error reduction to validate the outcomes of biomedical applications and its accuracy level of 99%. These innovative approaches are expected to promote future developments in energy-related technology optimization, and the conclusions are more advanced than previous physical evidence and biological applications, including blood flow analysis, drug delivery systems, and cancer treatment. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2025.

关键词： Artificial neural network Multiple linear regression numerical algorithm Porous surface Symmetry analysis

来源：评论

学校读者我要写书评

暂无评论

APPROXIMATION METHODS FOR HYBRID DIFFUSION SYSTEMS WITH STATE-DEPENDENT SWITCHING PROCESSES: numerical algorithmS AND EXISTENCE AND UNIQUENESS OF SOLUTIONS

引用

SIAM JOURNAL ON MATHEMATICAL ANALYSIS 2010年第6期41卷 2335-2352页

作者： Yin, G. Mao, Xuerong Yuan, Chenggui Cao, Dingzhou Wayne State Univ Dept Math Detroit MI 48202 USA Univ Strathclyde Dept Stat & Modelling Sci Glasgow G1 1XH Lanark Scotland Univ Wales Swansea Dept Math Swansea SA2 8PP W Glam Wales

Focusing on hybrid diffusions in which continuous dynamics and discrete events coexist, this work is concerned with approximation of solutions for hybrid stochastic differential equations with a state-dependent switching process. Iterative algorithms are developed. The continuous-state-dependent switching process presents added difficulties in analyzing the numerical procedures. Weak convergence of the algorithms is established by a martingale problem formulation first. This weak convergence result is then used as a bridge to obtain strong convergence. In this process, the existence and uniqueness of the solution of the switching diffusions with continuous-state-dependent switching are obtained. In contrast to existing results of solutions of stochastic differential equations in which the Picard iterations are utilized, Euler's numerical schemes are considered here. Moreover, decreasing-stepsize algorithms together with their weak convergence are given. numerical experiments are also provided for demonstration.

关键词： switching diffusion numerical algorithm convergence existence and uniqueness of strong solution

来源：评论

学校读者我要写书评

暂无评论

Computation of numerical Pade-Hermite and simultaneous Pade systems .2. A weakly stable algorithm

引用

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1996年第2期17卷 268-297页

作者： Cabay, S Jones, AR Labahn, G BELL NO RES LTD OTTAWAON K1Y 4H7CANADA UNIV WATERLOO DEPT COMP SCIWATERLOOON N2L 3G1CANADA

For k + 1 power series a(0)(z),...,a(k)(z), we present a new iterative, look-ahead algorithm for numerically computing Pade-Hermite systems and simultaneous Pade systems along a diagonal of the associated Pade tables. The algorithm computes the systems at all those points along the diagonal at which the associated striped Sylvester and mosaic Sylvester matrices are well conditioned. The operation and the stability of the algorithm is controlled by a single parameter tau which serves as a threshold in deciding if the Sylvester matrices at a point are sufficiently well conditioned. We show that the algorithm is weakly stable and provide bounds for the error in the computed solutions as a function of tau. Experimental results are given which show that the bounds reflect the actual behavior of the error. The algorithm requires O(\\n\\(2) + s(3)\\n\\) Operations to compute Pade-Hermite and simultaneous Fade systems of type n = [n(0),...,n(k)], where \\n\\ = n(0)+...+n(k) and s is the largest step-size taken along the diagonal. An additional application of the algorithm is the stable inversion of striped and mosaic Sylvester matrices.

关键词： Pade-Hermite approximants simultaneous Pade approximants striped Sylvester inverses mosaic Sylvester inverses numerical algorithm numerical stability

来源：评论

学校读者我要写书评

暂无评论

On the Calculation of the Boiler Thermal Diagram 2nd

On the Calculation of the Boiler Thermal Diagram

引用

2nd International Conference on Information Technologies and Their Applications

作者： Zhurbenko, Mykola Bardadym, Tamara NASU VM Glushkov Inst Cybernet Kyiv Ukraine

ISBN: (纸本)9783031734168;9783031734175

The complex technical object usually can be described as a set of technological components (blocks). Its functional diagram can be represented by an oriented multi-graph. The vertices of the graph correspond to separate components (blocks) of a technical object. The blocks are characterized by design parameters. The graph may contain feedback loops. Blocks' output parameters can be determined from the values of their input parameters. The software developed in C++ language serves for calculating functional diagrams of steam boilers. The software determines also the values of derived output parameters from the design parameters values. It can be used to improve the technical characteristics of an object and determine control parameters for various modes of its operation. The calculation of the thermal scheme is based on the use of a model heat exchanger. In this case, the calculation of the thermal scheme is reduced to an iterative solution of a system of linear equations. A brief description of the software is provided.

关键词： Steams Boilers Functional Diagram Optimal Design numerical algorithm Software

来源：评论

学校读者我要写书评

暂无评论

A new algorithm for numerical modelling of impurity transport in the frame of statistically homogeneous sharply contrasting media

引用

RUSSIAN JOURNAL OF numerical ANALYSIS AND MATHEMATICAL MODELLING 2019年第6期34卷 339-351页

作者： Kondratenko, Petr S. Matveev, Leonid V. Vasiliev, Alexander D. Russian Acad Sci Nucl Safety Inst Bolshaya Tulskaya St 52 Moscow 115191 Russia State Univ Moscow Inst Phys & Technol 9 Inst Per Dolgoprudnyi 141700 Moscow Region Russia

A new method is developed to calculate characteristics of contaminant transport (including non-classical regimes) in statistically homogeneous sharply contrasting media. A transport integro-differential equation in the space-time representation is formulated on the basis of the model earlier proposed by one of the authors (L. M.). Analytical expressions for transport characteristics in limiting time intervals in the one-dimensional case are derived. An interpolation form is proposed for the integral kernel of the transport equation. On a basis of this expression, an algorithm is developed for numerical modelling the contaminant transport in statistically homogeneous sharply contrasting media. Trial numerical 1D calculations are performed based on this algorithm. Good agreement was found between the numerical simulation results and the asymptotic analytical expressions.

关键词： Non-equilibrium transport model non-classical transport quasi-diffusion sub-diffusion concentration asymptotics numerical algorithm

来源：评论

学校读者我要写书评

暂无评论

ELIAS: An Accurate and Extensible Lithography Aerial Image Simulator With Improved numerical algorithms

引用

IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING 2009年第2期22卷 276-289页

作者： Yu, Peng Pan, David Z. Univ Texas Austin Dept Elect & Comp Engn Austin TX 78712 USA

Lithography simulators have been playing an indispensable role in process optimization and design for manufacturability (DFM). The ever smaller feature sizes demand higher numerical accuracy and faster runtime on these lithography simulators. Aerial image simulation is the first key step in lithography simulation, and the method using transmission cross coefficient (TCC), which is a two-dimensional integral, is the most commonly used technique for full-chip aerial image simulation. In this paper, we present a very accurate, yet efficient and extensible aerial image simulator, ELIAS. We find that the majority of the numerical error during the TCC computation is due to the discontinuous boundaries of the support of the TCC integrand. We reduce the error dramatically by using a recursive integration algorithm. Because TCC is usually computed on uniform grids, we further speed up the algorithm without increasing the errors. Given the same accuracy, our new algorithm can speed up the runtime by 100 x -1000 X. Our algorithm also provides smooth tradeoff between accuracy and runtime. It can be used to benchmark other lithography aerial simulators. In addition, ELIAS provides an open-source, flexible software framework to incorporate different lithography settings.

关键词： Accuracy aerial image simulation C plus ELIAS fast Fourier transform (FFT) Hopkins equation lithography simulation numerical algorithm recursive integration runtime transmission cross coefficient (TCC)

来源：评论

学校读者我要写书评

暂无评论

On the numerical algorithms of parametrization method for solving a two-point boundary-value problem for impulsive systems of loaded differential equations

引用

COMPUTATIONAL & APPLIED MATHEMATICS 2018年第4期37卷 4966-4976页

作者： Assanova, A. T. Kadirbayeva, Zh. M. Inst Math & Math Modeling Dept Differential Equat 125 Pushkin Str Alma Ata 050010 Kazakhstan

A linear two-point boundary value problem for a system of loaded differential equations with impulse effect is investigated. Values in the previous impulse points are taken into consideration in the conditions of impulse effect. The considered problem is reduced to an equivalent multi-point boundary value problem for the system of ordinary differential equations with parameters. A numerical implementation of parametrization method is offered using the Runge-Kutta method of 4th-order accuracy for solving the Cauchy problems for ordinary differential equations. The constructed numerical algorithms are illustrated by examples.

关键词： Loaded differential equation Impulse effect Parametrization method numerical algorithm

来源：评论

学校读者我要写书评

暂无评论

Fragmentation of numerical algorithms for parallel subroutines library

引用

JOURNAL OF SUPERCOMPUTING 2011年第2期57卷 161-171页

作者： Kireev, S. Malyshkin, V. Russian Acad Sci Inst Computat Math & Math Geophys Siberian Branch Novosibirsk Russia

Fragmentation is a well-known method of the parallelization of numerical algorithms and programs. algorithm fragmentation allows creating fragmented parallel programs that can be executed on parallel computers of different types (multiprocessors and/or multicomputers) and can be dynamically tuned to all the available resources. Fragmentation of the often used numerical algorithms, their representation for inclusion into the library of parallel numerical subroutines and properties of the runtime system are considered.

关键词： Asynchronous programming Parallel program numerical algorithm Fragment-based programming Dynamic programs' properties

来源：评论

学校读者我要写书评

暂无评论

Evaluation of the numerical algorithms of the plasma dispersion function

引用

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER 2019年 234卷 64-70页

作者： Wang, Sicheng Huang, Sixun Natl Univ Def Technol Inst Meteorol & Oceanog Nanjing Jiangsu Peoples R China State Ocean Adm Inst Oceanog 2 State Key Lab Satellite Ocean Environm Dynam Hangzhou Zhejiang Peoples R China

Plasma dispersion function is an important parameter in the ionospheric physics, fast and accurate computation of this function is extremely valuable in practical use. Many numerical algorithms have been proposed, and it is very necessary to evaluate their performances. In present paper, we first introduce an alternative method to derive the plasma dispersion function and its first derivative using the differential and integral calculus method, and then compare the accuracy and efficiency of three well-known numerical algorithms (algorithm of Steven G. Johnson, algorithm 916, and algorithm of Abrarov and Quine) in Matlab environment under the uniform and non-uniform distribution of the grid-points, and finally analyze the variations of the real and imaginary part of the plasma dispersion function and its first derivative preliminarily. The results show that Abrarov and Quine's algorithm performs better than other two numerical algorithms from the comprehensive viewpoint of accuracy and efficiency. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Plasma dispersion function Differential and integral calculus method numerical algorithm Performance evaluation

来源：评论

学校读者我要写书评

暂无评论

A vector parameter estimation algorithm for target terminal trajectory through numerical optimization

引用

3rd International Conference on Intelligent Computing

作者： Shang, Yanhai Liu, Zhe Univ Elect Sci & Technol China Sch Elect Engn Chengdu 610054 Peoples R China

ISBN: (纸本)9783540741701

An antenna array composed of one transmitter and multi-receivers and dedicated to measuring terminal trajectory of the target of interest, which is supposed to be in uniform rectilinear motion, is set up. On the basis of the model, the Vector parameter that can uniquely determine the terminal trajectory of target is introduced, and the measurement equations which describe the respective relationships between the Vector parameter and the instantaneous Doppler frequency and the phase differences extracted from echoes are established. Taking advantage of the measurement equations, we propose an algorithm of estimating the Vector parameter without resolving the phase difference ambiguity;furthermore, the detailed steps in estimating the Vector parameter using numerical optimization techniques are put forward. The Monte Carlo simulation results demonstrate the effectiveness and reliability of our numerical algorithm compared with the traditional method.

关键词： modeling parameter estimation numerical algorithm optimization Monte Carlo simulation

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：