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About a System of Piecewise Linear Difference Equations with Many Periodic Solutions
We want to draw attention to the system of first order piecewise linear difference equations of two equations...
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Detectability of labeled weighted automata over monoids
In this paper, by develo** appropriate methods, we for the first time obtain characterization of four fundamental notions of detectability for...
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Supermodularity and valid inequalities for quadratic optimization with indicators
We study the minimization of a rank-one quadratic with indicators and show that the underlying set function obtained by projecting out the continuous...
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High-Dimensional Cubes, Balls and Spherically Symmetric Distributions
The main objective of this chapter is development of accurate approximations for the volume of intersection of a cube and a ball in...
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IPRSOCP: A Primal-Dual Interior-Point Relaxation Algorithm for Second-Order Cone Programming
Inspired by the smoothing barrier augmented Lagrangian function in Liu et al. (Math Methods Oper Res 96(3):351–382, 2022), we propose a primal-dual...
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A Study of Extreme Water Waves Using a Hierarchy of Models Based on Potential-Flow Theory
The formation of extreme waves arising from the interaction of three line-solitons with equal far-field amplitudes is examined through a hierarchy of...
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Two classes of exact solutions in the linear elastodynamics of transversely isotropic solids
Due to the formal resemblance of some models for the Cauchy stress tensor of elastic solids and viscous fluids, some classes of exact solutions for...
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FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane–Emden system
In the present study, a novel fractional Meyer neuro-evolution-based intelligent computing solver (FMNEICS) is presented for numerical treatment of...
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Fluid-flow effects in the reactive decontamination of porous materials driven by chemical swelling or contraction
Following the release of a chemical warfare agent, it is crucial for public health that the affected environment is entirely decontaminated. If the...
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Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs
This paper extends interpolatory model reduction to systems with (up to) quadratic-bilinear dynamics and quadratic-bilinear outputs. These systems...
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Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow
We present a novel computational framework for the simulation of rigid spherical Janus particle suspensions in Stokes flow. For a wide array of Janus...
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Scattering problems for the wave equation in 1D: D’Alembert-type representations and a reconstruction method
We derive the extension of the classical d’Alembert formula for the wave equation, which provides the analytical solution for the direct scattering...
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A different approach for conformable fractional biochemical reaction—diffusion models
This paper attempts to shed light on three biochemical reaction-diffusion models: conformable fractional Brusselator, conformable fractional...
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Space Exploration: Partial Covering and Quantization
The main developments in this chapter are:...
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Finding best approximation pairs for two intersections of closed convex sets
The problem of finding a best approximation pair of two sets, which in turn generalizes the well known convex feasibility problem, has a long history...
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Multiple Convolution Formulae of Bernoulli and Euler Numbers
By examining higher derivatives of hyperbolic functions, we derive monomial and binomial representation formulae, that are utilized to establish...
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Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems
Theoretical and applied cancer studies that use individual-based models (IBMs) have been limited by the lack of a mathematical formulation that...
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PAMOP2: State-of-the-Art Computations for Atomic, Molecular and Optical Processes
Our prime computational effort is to support current and future measurements of atomic photoionization cross-sections at various synchrotron...
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Capra-Convexity, Convex Factorization and Variational Formulations for the ℓ0 Pseudonorm
The so-called ℓ 0 pseudonorm, or cardinality function, counts the number of nonzero components of a vector. In this paper, we analyze the ℓ 0 ...