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Motif Finding Algorithms: A Performance Comparison
Network motifs are subgraphs of a network that occur more frequently than expected, according to some reasonable null model. They represent building...
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A Robust Numerical Simulation of a Fractional Black–Scholes Equation for Pricing American Options
After the discovery of fractal structures of financial markets, fractional partial differential equations (fPDEs) became very popular in studying...
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A high-order algorithm for time-domain scattering in three dimensions
The ubiquitous scattering of time-dependent waves in free-space exterior to bounded configurations is fundamental for numerous applications....
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A Boosted-DCA with Power-Sum-DC Decomposition for Linearly Constrained Polynomial Programs
This paper proposes a novel Difference-of-Convex (DC) decomposition for polynomials using a power-sum representation, achieved by solving a sparse...
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Computer-Assisted Statistical Analysis of L-Methionine Protonation Equilibria in The Anionic, Cationic, and Neutral Micellar Systems
At 303 K, the effect of anionic surfactant (Sodium lauryl sulfate), cationic surfactant (cetrimonium bromide), and neutral surfactant (Triton X-100)...
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A Complete Classification on the Center-Focus Problem of a Generalized Cubic Kukles System with a Nilpotent Singular Point
In this paper, we study the center-focus problem for a generalized cubic Kukles system with a nilpotent singular point, which consists of a cubic...
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Application of Modified Lucas Wavelets Fractional Approximation Scheme for Analyzing the Fractional Electrical Circuit’s Models
This paper proposes an approximation scheme for electrical circuit models based on the Riemann–Liouville fractional-order derivative. We have...
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Approximation in the extended functional tensor train format
This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product...
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A Novel Fitted Three Term Method for the Numerical Treatment of Singularly Perturbed Differential–Difference Equations
An exponentially fitted method is proposed on uniform mesh for the numerical treatment of a boundary-value problem for the singularly perturbed...
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Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem
In this paper, a linearized Galerkin fully-discrete scheme is proposed and investigated for the time-dependent nonlinear thermistor problem, where...
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The Influence of Fear on Intraspecific Competition in Predator-Prey Dynamics: A Model-Based Study
The study explores the impact of fear levels and intra-species competition on the predator-prey system’s dynamics. High fear levels or competition...
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Inverse heat conduction problem with a nonlinear source term by a local strong form of meshless technique based on radial point interpolation method
This study is devoted to find the numerical solution of the surface heat flux history and temperature distribution in a non linear source term...
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An efficient algorithm for solving the variable-order time-fractional generalized Burgers’ equation
A numerical scheme based on the Haar wavelets coupled with the nonstandard finite difference scheme is presented to solve the variable-order...
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Emigranten der zweiten Generation
Zur zweiten Emigration zählen wir hier alle Mathematikerinnen und Mathematiker, die ihr Studium erst nach ihrer Flucht, in der Emigration beginnen...
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Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime
We develop a provably efficient importance sampling scheme that estimates exit probabilities of solutions to small-noise stochastic...
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Entdeckungen mit Quadratzahlen und Potenzen
In Rätselecken von Zeitungen findet man hin und wieder Knobelaufgaben wie beispielsweise „Wie lauten die letzten zwei Ziffern der Zahl 20232023“? In...
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A family of the modified three-term Hestenes–Stiefel conjugate gradient method with sufficient descent and conjugacy conditions
To strengthen the three-term Hestenes–Stiefel conjugate gradient method proposed by Zhang et al., we suggest a modified version of it. For this...
