Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials by W. M. Abd-Elhameed

“…Moreover, the principle idea behind these algorithms is based on converting the boundary value problems governed by their boundary conditions into systems of linear or nonlinear algebraic equations which can be efficiently solved by suitable solvers. …”
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Numerical Solution for the 2D Linear Fredholm Functional Integral Equations by Neda Khaksari, Mahmoud Paripour, Nasrin Karamikabir

“…Using the proposed method, we get a system of linear algebraic equations which are solved by an iteration method. …”
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Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method by Fengying Zhou, Xiaoyong Xu

“…Based on the collocation technique, the second-kind Chebyshev wavelets are used to reduce the problem to the solution of a system of linear algebraic equations. Several examples are provided to confirm the reliability and effectiveness of the proposed method.…”
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Simultaneous Invariants of Strain and Rotation Rate Tensors and Their Admitted Region by Igor Vigdorovich, Holger Foysi

“…The theory provided inside this paper is the building block for a derivation of new algebraic constitutive relations for three-dimensional turbulent flows in the form of expansions of the Reynolds-stress tensor in a tensorial basis formed by the tensors S and Ω, in which the scalar coefficients depend on simultaneous invariants of these tensors.…”
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Degenerate Poly-Lah-Bell Polynomials and Numbers by Taekyun Kim, Hye Kyung Kim

“…In addition, we obtain various algebraic identities including Lah numbers, the degenerate Stirling numbers of the first and second kind, the degenerate poly-Bell polynomials, the degenerate poly-Bernoulli numbers, and the degenerate poly-Genocchi numbers.…”
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Complete positivity order and relative entropy decay by Li Gao, Marius Junge, Nicholas LaRacuente, Haojian Li

“…Our results, along with the consequence of concentration inequalities, are applicable to GNS-symmetric semigroups on general von Neumann algebras.…”
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Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch by Elias Riedel Gårding

“…We discuss connections to the theory of cluster algebras.…”
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Two-Dimensional AOA Estimation Based on a Constant Modulus Algorithm by Saleh O. Al-Jazzar, Zoubir Hamici, Sami Aldalahmeh

“…We propose a two-dimensional (2D) angle of arrival (AOA) estimator using the algebraic constant modulus algorithm (ACMA). This algorithm was originally introduced to estimate the one-dimensional (1D) AOA. …”
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Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions

“…<p>We consider a class of singularly perturbed parabolic equations for which the degenerate equations obtained by setting the small parameter equal to zero are algebraic equations that have several roots. We study boundary layer type solutions that, as time increases, periodically go through two fairly long lasting stages with extremely fast transitions in between. …”
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Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism by Liyuan Xia, Jianjun Wang, Shihua Fu, Yuxin Gao

“…The main objective was to design a state-feedback control such that the number of bankrupt players is minimized. First, an algebraic expression was formulated for this type of NEGs by the semi-tensor product of matrices, based on which the sets of profiles with different numbers of bankrupt players are defined. …”
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Semigroup of Finite-State Deterministic Intuitionistic Fuzzy Automata with Application in Fault Diagnosis of an Aircraft Twin-Spool Turbofan Engine by Sajida Kousar, Farah Aslam, Nasreen Kausar, Yaé Ulrich Gaba

“…A semigroup of FDIFA and its algebraic properties including substructures and structure-preserving maps are studied. …”
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Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature by M. A. Abd El-Naby, Elsayed M. E. Elbarbary, Nader Y. Abdelazem

“…The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. …”
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TBA equations and quantum periods for D-type Argyres-Douglas theories by Katsushi Ito, Jingjing Yang

“…We study the variety of TBA systems across the Coulomb branch moduli space and find that they correspond to the Dynkin diagrams of D n Lie algebras in the minimal chamber, and reproduce the TBA equations for reflectionless D scattering theories at the maximally symmetric point. …”
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations by Xiaomin Wang

“…Thus, one can obtain a stable, highly accurate, and efficient numerical method without calculating the connection coefficients in traditional Galerkin method for solving the nonlinear algebraic equations. At last, numerical simulations are performed to show the efficiency of the method proposed.…”
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Characterization of Multiplicative Lie Triple Derivations on Rings by Xiaofei Qi

“…As applications, all Lie (triple) derivations on prime rings and von Neumann algebras are characterized, which generalize some known results.…”
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Subrings of I-rings and S-rings by Mamadou Sanghare

“…In the case of commutative rings or finite-dimensional algebras over an algebraically closed field, the classes of left I-rings, left S-rings and rings of finite representation type are identical (see [1] and [4]). …”
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Mean Square Consensus of General Linear Multiagent Systems with Communication Noises under Switching Topologies by Kairui Chen, Chuance Yan, Qijun Ren, Xianxian Zeng, Junwei Wang

“…Bearing in mind the above constrains, a consensus protocol is proposed, where the gain matrix is obtained by the algebraic Riccati equation and the coupling strength is restricted in a given interval. …”
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Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems by Gianni Arioli

“…Then the minimization problem becomes purely algebraic and can be solved by standard methods of constrained optimization, for example, with Lagrange multipliers. …”
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New Results on Stability of Delayed Cohen–Grossberg Neural Networks of Neutral Type by Ozlem Faydasicok

“…This paper exploits some basic properties of matrices in the derivation of the results that establish a set of algebraic mathematical relationships between network parameters of this neural system. …”
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Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation by Zhigang Yao, Huayong Xie, Hui Jie

“…It is found that the rational lump decays algebraically in all directions in the space plane and its amplitude possesses one maximum and two minima. …”
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