16 papers · ranked by Valyu relevance
Yong Fang, Nan Yang, Jun Chen, Sadaf Salehkalaibar
As a typical symbol-wise solution of asymmetric Slepian-Wolf coding problem, Distributed Arithmetic Coding (DAC) non-linearly partitions source space into disjoint cosets with unequal sizes. The distribution of DAC coset cardinalities, named the Coset Cardinality Spectrum (CCS), plays an important role in both…
Rafał Brociek, Józef Szczotka, Mariusz Pleszczyński, Francesca Nanni + 4 more
'Christian Napoli' 'Andrea Murari' 'Teddy Craciunescu' 'Ivan Wyss'] The article presents research on the application of computed tomography with an incomplete dataset to the problem of examining the internal structure of walls. The case of incomplete information in computed tomography often occurs in various…
Srinivasarao Thota, Mohamed M. Awad, P. Shanmugasundaram, Laxmi Rathour
'Laxmi Rathour'] Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results Several numerical examples are presented to illustrate and…
Safia Malik, Syeda Tehmina Ejaz, Ali Akgül, Murad Khan Hassani
The current research presents a novel technique for numerically solving the one-dimensional advection-diffusion equation. This approach utilizes subdivision scheme based collocation method to interpolate the space dimension along with the finite difference method for the time derivative. The proposed technique is…
Karine Chemla
Ancient sources attest to the introduction of two families of numeration systems using place-value notations. In such systems, the base and its powers are always represented using position. The existence of a base of this kind is reflected by the repetitive character of the algorithms drawing on the place-value…
Nasiru Salihu, Poom Kumam, Aliyu Muhammed Awwal, Ibrahim Mohammed Sulaiman + 2 more
'Ibrahim Mohammed Sulaiman' 'Thidaporn Seangwattana' 'He Chen'] In 2012, Rivaie et al. introduced RMIL conjugate gradient (CG) method which is globally convergent under the exact line search. Later, Dai (2016) pointed out abnormality in the convergence result and thus, imposed certain restricted RMIL CG parameter as a…
Amal Altamimi, Belgacem Ben Youssef
The square root operation is indispensable in a myriad of computational science and engineering applications. Various computational techniques have been devised to approximate its value. In particular, convergence methods employed in this regard are highly affected by the initial approximation of the seed value.…
Salima Kouser, Shafiq Ur Rehman, Yasser Elmasry, Waqar Azeem Khan + 3 more
'Fayyaz Ahmad' 'Hamza Khan' 'B. Omkar Lakshmi Jagan'] The Newton method is a classical method for solving systems of nonlinear equations and offers quadratic convergence. The order of convergence of the Newton method is optimal as it requires one evaluation for the system of nonlinear equations and the second for the…
Waqar Younas, Gauhar Ali, Naveed Ahmad, Qamar Abbas + 6 more
'Muhammad Talha Masood' 'Asim Munir' 'Mohammed ElAffendi' 'Shah Nazir' 'Habib Ullah Khan' 'Iván García-Magariño'] Metaheuristic algorithms are effectively used in searching some optical solution space. for optical solution. It is basically the type of local search generalization that can provide useful solutions for…
Wei Zhang, Liangli Chen, Mohammed Jasim Mohammed Alfahdawi
Barycentric rational interpolation is characterized by excellent numerical stability, high approximation accuracy, and strong adaptability to node distribution. In this paper, we propose a high-precision barycentric rational interpolation collocation method to provide approximate solutions for both linear and nonlinear…
Amer Alsulami, Naveed Shahid, Nauman Ahmed, Mohammed Almalahi + 3 more
'Alaa Mustafa' 'Khaled Aldwoah' 'Md. Kamrujjaman'] This study aims to investigate and analyze the dynamics of diarrhea infectious disease model. For this purpose, a classical diarrhea disease model is converted into the diffusive diarrhea epidemic model by including the diffusion terms in every compartment of the…
Mingbin Tang, Yejun Zheng, Lianbao Li, Li Cao + 2 more
Complex engineering optimization problems often exhibit high-dimensional, multi-constraint, and nonlinear characteristics. Traditional deterministic optimization methods rely on gradient information and have limited optimization ranges, making it difficult to meet the requirements of efficient and accurate solutions.…
Liru Mu, Xinlong Feng, José F. F. Mendes
In this paper, the radial basis function finite difference method is used to solve two-dimensional steady incompressible Navier-Stokes equations. First, the radial basis function finite difference method with polynomial is used to discretize the spatial operator. Then, the Oseen iterative scheme is used to deal with…
Wuzheng Guo, Yuanfa Ji, Xiyan Sun, Xizi Jia + 1 more
In GNSS, a double-difference carrier phase observation model is typically employed, and high-accuracy position coordinates can be obtained by resolving the integer ambiguity within the model through algorithmic processing. To address the challenge of a double-difference integer ambiguity resolution, an enhanced…
Yuyong Tan, Jianfeng Wang, Bin Wang, Yongquan Zhou
The intelligent optimization algorithm has become a key tool in complex and intertwined engineering and science fields. However, with the increasing complexity of the problem and the rapid expansion of the data scale, the performance of the algorithm has been challenged unprecedentedly. The artificial lemming algorithm…
Li Zuo, Fengtai Mei
Since the nonlinear parabolic equation has many variables, its calculation process is mostly an algebraic operation, which makes it difficult to express the discrete process concisely, which makes it difficult to effectively solve the two grid algorithm problems and the convergence problem of reaction diffusion. The…