Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations by Şuayip Yüzbaşı, Mehmet Sezer

“…By aid of the collocation points and the matrix operations, the suggested scheme converts singularly perturbed problem into a matrix equation, and this matrix equation corresponds to a system of linear algebraic equations. Also, an error analysis technique based on the residual function is introduced for the method. …”
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On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras by Baoling Guan, Liangyun Chen, Yao Ma

“…As a generalization of the notion of derivations for n-ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of n-ary multiplicative Hom-Nambu-Lie superalgebras. …”
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Inversion Free Algorithms for Computing the Principal Square Root of a Matrix by Nicholas Assimakis, Maria Adam

“…It is certified that the proposed algorithms are equivalent to the classical Newton method. An inversion free algebraic method, which is based on applying the Bernoulli substitution to a special case of the continuous time Riccati equation, is also proposed.…”
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Nonlinear asymptotic stability in $L^\infty $ for Lipschitz solutions to scalar conservation laws by Golding, William

“…As an application, we are able to compute algebraic decay rates of the $L^\infty $ norm of perturbations of global-in-time Lipschitz solutions, including perturbations of planar rarefaction waves. …”
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Polynomial Reproduction of Vector Subdivision Schemes by Y. F. Shen, D. H. Yuan, S. Z. Yang

“…We first present a simple algebraic condition for polynomial reproduction of such schemes with standard subdivision symbol. …”
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Weakly 2-Absorbing Ideals in Almost Distributive Lattices by Natnael Teshale Amare

“…The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form are proved. Also, weakly 2-absorbing ideals are characterized in terms of weakly prime ideals and 2-absorbing ideals. …”
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Three-Dimensional Expansion and Graphical Concept of Generalized Triangular Fuzzy Set by Yong Sik Yun

“…We have studied the extended algebraic operations between two fuzzy numbers and calculated Zadeh’s max-min composition operator for two generalized triangular fuzzy sets in ℝ2. …”
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Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches by Andrea L. Moore, Smruti P. Damania, Shandelle M. Henson, James L. Hayward

“…We used timescale techniques to reduce the differential equations to algebraic equationsand connected the models to field data. …”
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INVESTIGATION OF HYDRAULIC OPERATIONAL REGIMES OF CIRCULATING SYSTEM AT THERMAL POWER PLANT OF VOLZHSKY AUTOMOTIVE WORKS USING COMPUTER MODEL by V. V. Dikop, A. V. Bukhtiarov, A. G. Kovalenko, V. V. Kotov, V. A. Kudinov

“…The models simulates hydraulic processes by means of an iterated solution of a set of algebraic non-linear equations that is formed while using a graph theory The circulating system is considered as a unit in the model. …”
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On Couple-Group Consensus of Multiagent Networks with Communication and Input Time Delays by Liang-hao Ji, Xin-yue Zhao

“…Based on the frequency-domain theory, some algebraic criteria are addressed analytically. From the results, it is found that the input time delays and the coupling strengths between agents of the systems play a crucial role in reaching group consensus. …”
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Generalized Difference Lacunary Weak Convergence of Sequences by Bibhajyoti Tamuli, Binod Tripathy

“…We investigated several of its algebraic and topological properties, such as solidness, symmetry and monotone. …”
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Spectral Distribution of Transport Operator Arising in Growing Cell Populations by Hongxing Wu, Shenghua Wang, Dengbin Yuan

“…It is to prove that the transport operator AH generates a C0 semigroup and the ninth-order remainder term R9(t) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operator AH consists of only finite isolated eigenvalues with finite algebraic multiplicities in a trip Γω. The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.…”
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On fractional Pennes bio-heat equation using Legendre collocation method by Arvind Kumar Mishra, Sushil Kumar, Ajay Kumar Shukla

“…The best feature of the proposed technique is the conversion of fractional-order differential equations into a set of algebraic systems and the ability to approximate both spatial and temporal coordinates with a single basis. …”
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Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets by Mingxu Yi, Kangwen Sun, Jun Huang, Lifeng Wang

“…A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations. The solution of this system gives the approximation solution for the truncated limited 2k(2M+1). …”
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On the group of automorphisms of Horikawa surfaces by Lorenzo, Vicente

“…Minimal algebraic surfaces of general type $X$ such that $K^2_X=2\chi (\mathcal{O}_X)-6$ are called Horikawa surfaces. …”
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An Ascoli theorem for sequential spaces by Gert Sonck

“…We apply our theorem in the context of C*-algebras.…”
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Solution of Cauchy-Type Singular Integral Equations of the First Kind with Zeros of Jacobi Polynomials as Interpolation Nodes by G. E. Okecha

“…The problem is reduced to a system of linear algebraic equations. A theoretical convergence result for the approximation is provided. …”
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Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers by Hasan Gökbaş

“…Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum formulas for these new type numbers and we investigate some algebraic proporties of these. Furthermore, we give the matrix representation of Gaussian-bihyperbolic Pell and Pell-Lucas numbers.…”
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On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method by Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman

“…The main advantage of the proposed method is reducing the given problem to a set of algebraic equations. Some examples are given to approve the efficiency and the accuracy of the proposed method.…”
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Numerical Solution of the Fractional Partial Differential Equations by the Two-Dimensional Fractional-Order Legendre Functions by Fukang Yin, Junqiang Song, Yongwen Wu, Lilun Zhang

“…Then, by these matrices, a system of algebraic equations is obtained from FPDEs. Hence, by solving this system, the unknown 2D-FLFs coefficients can be computed. …”
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