Results 131 to 140 of about 64,576 (280)
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions
International Journal of Differential Equations, 2015 We study boundary value problems for q-difference equations and inclusions with nonlocal and integral boundary conditions which have different quantum numbers. Some new existence and uniqueness results are obtained by using fixed point theorems. Examples
Sotiris K. Ntouyas, Jessada Tariboon
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Malaya Journal of Matematik, 2016 In this paper, we shall study a nonlinear fractional differential equation with nonlocal integral boundary conditions. We have used fixed point theorems and Laray-Schauder nonlinear alternative to study the existence and uniqueness of solutions to the given equation.
null Renu Chaudhary +1 more
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Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee +3 more
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Localized deformation in dense granular materials, often culminating in the formation of shear bands, is a key failure mechanism in geotechnical and material systems. However, predicting the onset of such localization remains a fundamental challenge due to the system's inherent inelasticity and microstructural complexity.
Zhennan Zhu +4 more
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A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions
Abstract and Applied Analysis, 2013 This paper is concerned with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional q-difference equations with nonlocal integral boundary conditions.
Ahmed Alsaedi +2 more
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Spectrum Curves for Sturm–Liouville Problem with Integral Boundary Condition
Mathematical Modelling and Analysis, 2015 We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1, ξ2 ([ξ1, ξ2] is a domain of integration).
Agnė Skučaitė, Artūras Štikonas
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Nonlocal boundary value problems of fractional order at resonance with integral conditions [PDF]
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt +2 more
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