Results 61 to 70 of about 19,436 (230)
Deep Neural Network Algorithms for Parabolic PIDEs and Applications in Insurance and Finance
Computation, 2022 In this paper we study deep neural network algorithms for solving linear and semilinear parabolic partial integro-differential equations with boundary conditions in high dimension. Our method can be considered as an extension of the deep splitting method
Rüdiger Frey, Verena Köck
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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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Peridynamics with a Cube‐Shaped Neighborhood
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT This paper investigates the effects of cube‐shaped neighborhoods in peridynamic theory as an alternative to the traditional spherical neighborhoods. We examine how different neighborhood geometries influence the behavior of various peridynamic formulations, including bond‐based models, state‐based formulations, and correspondence methods.
Kai Partmann +3 more
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Policy &Internet, Volume 18, Issue 1, March 2026.ABSTRACT This article investigates how TikTok Shop reproduces the e‐commerce model of Douyin Shop against a backdrop of divergent regulatory challenges and geopolitical distrust. One of the strategic changes we observe in TikTok Shop is the shift of consumer goods suppliers from local merchants to China‐based sellers.
Shuaishuai Wang, Jing Meng, Yitong Li
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Application of the ARA Method in Solving Integro-Differential Equations in Two Dimensions
Computation, 2022 The main purpose of this study is to investigate solutions of some integral equations of different classes using a new scheme. This research introduces and implements the new double ARA transform to solve integral and partial integro-differential ...
Rania Saadeh
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People and Nature, Volume 8, Issue 2, Page 378-391, February 2026.Abstract Children today spend less time outdoors than previous generations, with potential consequences for health, learning and pro‐environmental attitudes. We assessed children's connection with and exposure to nature in a Mediterranean setting using the Nature Connection and Experience Index (NCEI), a composite measure that integrates an affective ...
Juan Antonio Ortega‐García +6 more
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Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gepreel, Khaled A. +2 more
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A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
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Mathematical Modeling of Measured Recalescence Velocities
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 977-988, 30 January 2026.ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov +3 more
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Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
Symmetry, Integrability and Geometry: Methods and Applications, 2008 Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations) are considered.
Volodymyr B. Taranov
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