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Truncated and Sparse Power Methods with Partially Updating for Large and Sparse Higher-Order PageRank Problems
Higher-order Markov chain plays an important role in analyzing a variety of stochastic processes over time in multi-dimensional spaces. One of the...
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New higher-order implict method for approximating solutions of the initial value problems
This work is dedicated to advancing the approximation of initial value problems through the introduction of an innovative and superior method...
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Shifted Inverse Power Method for Computing the Smallest M-Eigenvalue of a Fourth-Order Partially Symmetric Tensor
The strong ellipticity condition (abbr. SE-condition) of the displacement equations of equilibrium for general nonlinearly elastic materials plays an...
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Monte Carlo method for fractional-order differentiation extended to higher orders
In this work the Monte Carlo method, introduced recently by the authors for orders of differentiation between zero and one, is further extended to...
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A higher-order porous thermoelastic problem with microtemperatures
In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal...
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Analytical Solutions of Generalised Emden–Fowler Initial and Boundary Value Problems of Higher Order
In this paper, the analytical solutions of a class of generalised linear and nonlinear Emden–Fowler-type equations of higher order are presented...
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Impact of the Higher-Order Reactive Nonlinearity on High-Amplitude Dissipative Solitons
In this work, the impact of the higher-order reactive nonlinearity on very high-amplitude solitons of the cubic–quintic complex Ginzburg–Landau...
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Higher Order Computational Approach for Generalized Time-Fractional Diffusion Equation
The present article is devoted to develo** new finite difference schemes with a higher order of the convergence for the generalized time-fractional...
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Generalization of graph network inferences in higher-order graphical models
Probabilistic graphical models provide a powerful tool to describe complex statistical structure, with many real-world applications in science and...
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Variational and Numerical Approximations for Higher Order Fractional Sturm-Liouville Problems
This paper is devoted to studying the variational approximation for the higher order regular fractional Sturm-Liouville problems (FSLPs). Using...
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Rayleigh–Ritz Operator in Inverse Problems for Higher Order Multilinear Nonautonomous Evolution Equations
AbstractWe study solvability questions for the problem on realization of operator functions for an invariant polylinear regulator of a higher-order...
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High-order Soliton Matrix for the Third-order Flow Equation of the Gerdjikov-Ivanov Hierarchy Through the Riemann-Hilbert Method
The Gerdjikov-Ivanov (GI) hierarchy is derived via recursion operator, in this article, we mainly investigate the third-order flow GI equation. In...
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Nonlinear acoustic equations of fractional higher order at the singular limit
When high-frequency sound waves travel through media with anomalous diffusion, such as biological tissues, their motion can be described by nonlinear...
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Jensen-Type Inequalities, Montgomery Identity and Higher-Order Convexity
Motivated by some recent results known from the literature, in this paper, we establish a class of Jensen-type inequalities referring to functions of...
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Orthogonality and Higher-Order q-Difference Operators
We show that the Macdonald polynomials satisfy the orthogonality relation with respect to a certain scalar product on the ring of symmetric...
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Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude
Coupled oscillator networks provide mathematical models for interacting periodic processes. If the coupling is weak, phase reduction—the reduction of...
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Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization
We consider generalizations of nonlinear Schrödinger equations, which we call “Karpman equations,” that include additional linear higher-order...
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