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A novel coding scheme for generating sixteen codes from quaternary codes with applications Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-17 A. M. Elsawah
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Numerical solutions of a class of linear and nonlinear Volterra integral equations of the third kind using collocation method based on radial basis functions Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-16 E. Aourir, N. Izem, H. Laeli Dastjerdi
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An accelerated conjugate gradient method with adaptive two-parameter with applications in image restoration Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-15 Zhibin Zhu, Xiaowen Zhu, Zhen Tan
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On some generalized American style derivatives Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-14 Tsvetelin S. Zaevski
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Reidemeister–Schreier rewriting process for matching uniform signal constellations to quotient groups of arithmetic Fuchsian groups Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-14
Abstract In this paper, we construct signal constellations from lattices in complex hyperbolic spaces. To construct a hyperbolic lattice, we identify an arithmetic Fuchsian group with the group of units \(\mathcal {O}^{1}\) of a natural quaternion order \(\mathcal {O}\subset \mathcal {V}\) , in which \(\mathcal {V}\) is some quaternion algebra over an algebraic number field. The arithmetic Fuchsian
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Discrete maps with distributed memory fading parameter Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-12 Vasily E. Tarasov
Discrete maps with uniformly distributed memory fading parameter are proposed. These maps are derived from equations with fractional derivatives and fractional integrals of uniformly distributed orders and periodic sequence of kicks that are described by Dirac delta-functions. The fractional differential and fractional integral equations, for which the discrete maps are derived, are nonlinear equations
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Nash equilibria for quasi-linear parabolic problems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-12 Orlando Noél Romero Oblitas, Juan Bautista Límaco Ferrel, Pitágoras Pinheiro de Carvalho
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Convergence analysis for solving the split equality equilibrium problem in Hilbert spaces Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-11 Yishuo Peng, Yu Cao, Luoyi Shi, Yasong Chen
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Hamiltonian (s, t)-paths in solid supergrid graphs Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-10 Fatemeh Keshavarz-Kohjerdi, Alireza Bagheri
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Subdirect sums of strong $$SDD_{1}$$ matrices Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-07 Fude Zhang, Deshu Sun
Some sufficient conditions ensuring that the subdirect sum of strong \(SDD_{1}\) matrices is in the class of strong \(SDD_{1}\) matrices, are presented. These sufficient conditions only depend on the elements of given matrices, and so they provide some simple criteria for applications. Moreover, numerical examples are given to illustrate the conditions presented.
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Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-07
Abstract In this article, non-standard compact finite difference schemes are constructed for the numerical approximation to first- and second-order derivatives. The proposed compact schemes have eighth order of accuracy and are tri-diagonal in nature, making use of a stencil smaller than those of conventional tri-diagonal compact finite difference schemes of the same order. They also possess high resolution
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Palm vein modeling for generating synthetic images with biometric purposes: a geometrical approach Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-07
Abstract Palm vein-based biometric highlights its contactless acquisition, high precision, and user acceptance. However, the lack of publicly available databases with a large number of individuals challenges the continuous growth of this biometrics. In this context, the generation of synthetic images offers a promising solution to address this limitation and facilitate the evaluation of recognition
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A natural boundary element reduced-dimension model for uniform high-voltage transmission line problem in an unbounded outer domain Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-06 Fei Teng, Zhen Dong Luo
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A Quasi-Newton method for solving generalized equations by using a Kantorovich approach Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-01 V. S. Amaral, P. S. M. Santos, G. N. Silva, S. S. Souza
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On some fast iterative methods for split variational inclusion problem and fixed point problem of demicontractive mappings Comput. Appl. Math. (IF 2.998) Pub Date : 2024-03-01 Prashanta Majee, Sonu Bai, Sahadeo Padhye
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Decoding of cyclic codes over quaternion integers by modified Berlekamp–Massey algorithm Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-29 Muhammad Sajjad, Tariq Shah
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Biological pest control and crop–tree competition in agroforestry: a dynamical systems analysis Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-29 L. H. A. Monteiro, F. C. Nonis, R. Concilio
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A graphical method-based Kharitonov theorem for robust stability analysis of incommensurate fractional-order uncertain systems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-26
Abstract This paper introduces a more streamlined and convenient graphical approach to investigate the stability of fractional-order dynamical systems comprehensively. In particular, we focus on the utilization of Kharitonov theorem, renowned for robust stability analysis of incommensurate fractional-order systems in the presence of uncertainty. A novel graphical framework is illustrated, promising
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Comparison principles for a class of general integro-differential inequalities with applications Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-23 Mohammed Al-Refai, Arran Fernandez
Comparison principles for fractional differential equations have been investigated in many papers using different types of fractional integral and derivative operators. We here prove the strongest such results so far, for a very broad class of operators that is even more general than those with Sonine kernels. Starting from inequalities valid at global extrema, we obtain comparison principles for these
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Adaptive perturbation method for optimal control problem governed by stochastic elliptic PDEs Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-23
Abstract In this paper, we apply the stochastic perturbation technique to solve the optimal control problem governed by elliptic partial differential equation with small uncertainty in the random input. We first use finite-dimensional noise assumption and perturbation technique to establish the first-order and second-order deterministic optimality systems, and then discretize the two systems by standard
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Fuzzy modeling of a class of linear oscillators and its application to electric circuits Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-22 Sílvio Antônio Bueno Salgado, Otávio José de Rezende Silveira, Sérgio Martins de Souza, Onofre Rojas Santos
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R. Chan’s circulant-based approximate inverse preconditioning iterative method for solving second-order space fractional advection–dispersion equations with variable coefficients Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-21 Shi-Ping Tang, Ai-Li Yang, Jian-Lin Zhou, Yu-Jiang Wu
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Matrix product and quasi-twisted codes in one class Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-21 Ramy Taki Eldin
Many classical constructions, such as Plotkin’s and Turyn’s, were generalized by matrix product (MP) codes. Quasi-twisted (QT) codes, on the other hand, form an algebraically rich structure class that contains many codes with best-known parameters. We significantly extend the definition of MP codes to establish a broader class of generalized matrix product (GMP) codes that contains QT codes as well
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Finite-time sliding mode control for uncertain singular systems with one-side Lipschitz nonlinearities and time-varying delays Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-21
Abstract This paper primarily focused on a finite-time sliding mode control (SMC) problem for uncertain singular systems with OSL nonlinearities. Under the condition of a suitable SMC law, a time-division strategy is used to divide the time interval [0, T] into two phases, which are the arrival phase \([0, T^*]\) and the sliding motion phase \([T^*, T]\) , respectively. Firstly, it is proved that the
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A holistic approach to the composition of ternary relations Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-20
Abstract In this paper, we present a systematic approach to the study of the composition of ternary relations from the point of view of the degrees of freedom available when linking a 3-tuple to two given 3-tuples. We propose a way of enumerating all possible 4-point compositions (one degree of freedom) and 5-point compositions (two degrees of freedom) of ternary relations, and establish a correspondence
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A note on the rate of convergence of integration schemes for closed surfaces Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-18 Gentian Zavalani, Elima Shehu, Michael Hecht
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Existence of nontrivial solutions to fractional Kirchhoff double phase problems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-18
Abstract In this present paper, we concern the discussion of multiplicity non-trivial solution for a new class of fractional differential equations of the Kirchhoff type in the \(\psi \) -fractional space \(\mathbb {S}^{\alpha ,\beta ;\psi }_{\mathcal {H},0}(\Lambda )\) via critical point result and variational methods.
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The separation of convex sets and the Krein–Milman theorem in fuzzy quasi-normed space Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-17 He Liu, Zhenyu Jin, Jianrong Wu
Motivated by some deep problems in optimization and control theory, convexity theory has been extended to the various infinite dimensional functional spaces. The separation theorems play key roles in developing convexity theory. In this paper, we focus on the convexity problem in the framework of fuzzy quasi-normed spaces. First, we give some separation results of convex sets, and show a characterization
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Picture fuzzy soft-max Einstein interactive weighted aggregation operators with applications Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-16 Ayesha Razzaq, Muhammad Riaz
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On refined rational convex contractions with applications to matrix and implicit functional integral equations Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-14
Abstract This research presents an advancement in fixed point theory by extending the renowned Banach contractive condition and introducing the new convex contractive condition. Central to this work is exploring and developing new convex contraction mappings characterized by rational expressions. Our investigation not only proves fixed point results for these contractions but also highlights their
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The symbol approximation method: a numerical approach to the approximation of the symbol of self-adjoint operators Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-14
Abstract We propose a simple numerical procedure to approach the symbol of a self-adjoint linear operator \(\mathcal {A}\) by using trace estimates of a corresponding discretization matrix A, with numerical data. The Symbol Approximation Method (SAM) is based on an adaptation of the matrix trace estimator to successive distinct numerical spectral bands in order to build a piece-wise constant function
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Spectral bounds for the vulnerability parameters of graphs Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-13 Hongzhang Chen, Jianxi Li, Wai Chee Shiu
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Unveiling the dynamics of canard cycles and global behaviour in a singularly perturbed predator–prey system with Allee effect in predator Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-10
Abstract In this article, we have considered a planar slow–fast modified Leslie–Gower predator–prey model with a weak Allee effect in the predator, based on the natural assumption that the prey reproduces far more quickly than the predator. We present a thorough mathematical analysis demonstrating the existence of homoclinic orbits, heteroclinic orbits, singular Hopf bifurcation, canard limit cycles
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Singleton coalition graph chains Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-08 Davood Bakhshesh, Michael A. Henning, Dinabandhu Pradhan
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Several efficient iterative algorithms for solving nonlinear tensor equation $${\mathcal {X}}+{\mathcal {A}}^{T}*_N{\mathcal {X}}^{-1}*_N{\mathcal {A}}={\mathcal {I}}$$ with Einstein product Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-08 Raziyeh Erfanifar, Masoud Hajarian
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Modeling approach for the parameters of von Bertalanffy growth equation Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-07 Ana Maria Amarillo Bertone, Rosana Sueli da Motta Jafelice, Flávio Alexandre Falcão Nascimento
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Non-monotonic and self-adaptive strongly convergent iterative methods for efficiently solving variational inequalities with pseudomonotone operators Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-06
Abstract In this paper, we study two methods exhibiting strong convergence for solving classical variational inequality problems with Lipschitz-continuous and pseudomonotone operators in a real Hilbert space. These methods are inspired by Tseng’s extragradient method, as well as the viscosity and Mann-type methods, both incorporating a straightforward step-size rule. These methods use variable step
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Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-06
Abstract This paper presents two classes of integer codes that are suitable for use in local area networks. The first class of codes can correct h-bit burst errors within one b-bit byte and detect l-bit burst errors within one b-bit byte (1 ≤ h < l < b), while the second class of codes, in addition to correcting/detecting the mentioned types of errors, can also detect d-bit burst errors within two
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Numerical approximation of the boundary control for the wave equation in a square domain with a spectral collocation method Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-06 Somia Boumimez, Carlos Castro
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A note on the mean-square solution of the hypergeometric differential equation with uncertainties Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-06 Julia Calatayud
The Fröbenius method of power series has been applied to several linear random differential equations. The interest relies on the derivation of a closed-form mean-square solution and on the possibility of approximating statistical measures at exponential convergence rate. In this paper, we deal with the hypergeometric differential equation with random coefficients and initial conditions. On the interval
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Robust partial quadratic pole assignment of asymmetric systems using receptances Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-06 Huiqing Xie
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Co-existence of robust output-feedback synchronization and anti-synchronization of delayed discrete-time neural networks with its application Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-05 K. Sri Raja Priyanka, G. Soundararajan, Ardak Kashkynbayev, G. Nagamani
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Larger convergence regions for an efficient two-step iterative method Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-02 Ramandeep Behl, I. K. Argyros
High convergence order and efficient iterative methods play an important role in determining the solution of a nonlinear equation. One such method is considered in this article. The semilocal convergence of this method has already been presented. But, the convergence region is not large in general and the estimates on the error distances as well as information on the uniqueness of the solution ball
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A multi-step method to solve bipolar-fuzzy initial value problem Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-02 E. Ahmady, N. Ahmady, T. Allahviranloo, M. Shahriari
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On the stability of discrete-time homogeneous polynomial dynamical systems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-02
Abstract Every homogeneous polynomial dynamical system (HPDS) can be uniquely represented by a tensor. In our recent article (Chen, IEEE Trans Autom Control), we established necessary and sufficient stability criteria for certain continuous-time HPDSs by exploiting tensor spectral theory. In this article, we extend these results to discrete-time HPDSs. In particular, if the state transition tensor
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Inertial iterative method for solving equilibrium problems and fixed point problems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-02-01 Min Li, Zhongbing Xie, Prasit Cholamjiak, Kunrada Kankam
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Multiplicity results for discrete partial mean curvature problems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-31 Ahmad Ghobadi, Shapour Heidarkhani
In this article we continue the study of nonlinear discrete Dirichlet boundary value problems driven by mean curvature operators. By using a consequence of the local minimum theorem due Bonanno and mountain pass theorem, we will obtain a new multiplicity results of the solutions for a nonlinear discrete Dirichlet boundary value problems driven by \(\phi _c\)-Laplacian operator which have applications
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A weak Galerkin method for the nonlinear Navier–Stokes problem Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-31
Abstract In this paper, we introduce a weak Galerkin method for the nonlinear Navier–Stokes problem. To obtain the approximation of the velocity, we use the combination of piecewise linear polynomials on the elements and piecewise constants on the edges. For the approximation of the pressure, we use the piecewise constants on the elements. With proper regularity assumptions, we derive the error estimates
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A relaxed splitting method for solving variational inclusion and fixed point problems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-30
Abstract In this work, we propose an iterative method for finding a common solution of a variational inclusion problem involving a maximally monotone operator and a fixed point problem for a pseudocontractive mapping in real Hilbert space. Under some standard and easy-to-verify conditions, we establish that the sequence generated by the proposed method converges strongly to a solution of the considered
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$$H^1$$ -analysis of H3N3-2 $$_\sigma $$ -based difference method for fractional hyperbolic equations Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-29 Rui-lian Du, Changpin Li, Zhi-zhong Sun
A novel H3N3-2\(_\sigma \) interpolation approximation for the Caputo fractional derivative of order \(\alpha \in (1,2)\) is derived in this paper, which improves the popular L2C formula with (3-\(\alpha \))-order accuracy. By an interpolation technique, the second-order accuracy of the truncation error is skillfully estimated. Based on this formula, a finite difference scheme with second-order accuracy
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An efficient iterative method for multi-order nonlinear fractional differential equations based on the integrated Bernoulli polynomials Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-25 Babak Azarnavid, Mahdi Emamjomeh, Mohammad Nabati, Abdollah Dinmohammadi
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Strong convergence of modified inertial extragradient methods for non-Lipschitz continuous variational inequalities and fixed point problems Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-24 Huan Zhang, Xiaolan Liu, Jia Deng, Yan Sun
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An efficient numerical algorithm for solving nonlinear fractional Volterra integro-differential equation Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-24
Abstract The goal of this paper is to contribute a firm and outstanding program to nonlinear fractional Volterra integro-differential equations with the initial value problem on the basis of the reproducing kernel method (RKM). To a certain extent, the difficulty of preserving memory of fractional differential operators is reduced. At the beginning, the model can be converted to the equivalent fractional
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Power-series solutions of fractional-order compartmental models Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-24 Marc Jornet
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Pass-efficient truncated UTV for low-rank approximations Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-24
Abstract We propose the pass-efficient truncated UTV algorithm, a faster variant of the TUXV algorithm for low-rank approximations. Compared with the TUXV algorithm, data transfer and the complexity of the proposed algorithm are reduced. Therefore, our algorithm is suitable for large matrices stored out of memory or generated by streaming data. We also develop residual error upper bounds and singular
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A linearized fourth-order compact ADI method for phytoplankton–zooplankton model arising in marine ecosystem Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-23 Gangnan Yuan, Deng Ding, Weiguo Lu, Fengyan Wu
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More on minors of Hermitian (quasi-)Laplacian matrix of the second kind for mixed graphs Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-23 Qi Xiong, Gui-Xian Tian, Shu-Yu Cui
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Weak adversarial networks for solving forward and inverse problems involving 2D incompressible Navier–Stokes equations Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-22 Wen-Ran Li, Rong Yang, Xin-Guang Yang
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Modified restrictive preconditioners for double saddle point problems arising from liquid crystal director modeling Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-20 Fang Chen, Shu-Ru He
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A highly accurate strategy for data-driven turbulence modeling Comput. Appl. Math. (IF 2.998) Pub Date : 2024-01-19 Bernardo P. Brener, Matheus A. Cruz, Matheus S. S. Macedo, Roney L. Thompson