Results 101 to 110 of about 190,067 (305)
The Index and Split Forms of Linear Differential-Algebraic Equations
We consider linear systems of ordinary differential equations (ODE) with rectangular matrices of coefficients, including the case when the matrix before the derivative of the desired vector function is not full rank for all argument values from the ...
M.V. Bulatov, V.F. Chistyakov
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Performance of algebraic multigrid methods for non-symmetric matrices arising in particle methods
Large linear systems with sparse, non-symmetric matrices arise in the modeling of Markov chains or in the discretization of convection-diffusion problems.
Seibold, Benjamin
core
Study on fracture parameter calibration and failure characteristics of rock with hole and crack
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
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We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
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Formalization of Matrix Theory in HOL4
Matrix theory plays an important role in modeling linear systems in engineering and science. To model and analyze the intricate behavior of complex systems, it is imperative to formalize matrix theory in a metalogic setting.
Zhiping Shi +6 more
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Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional differentiation and integration of generalized Lucas ...
Mahmoud M. Mokhtar, Amany S. Mohamed
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We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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Event-Triggered Control for the Stabilization of Probabilistic Boolean Control Networks
This paper realizes global stabilization for probabilistic Boolean control networks (PBCNs) with event-triggered state feedback control (ETSFC). Via the semitensor product (STP) of matrices, PBCNs with ETSFC are converted into discrete-time algebraic ...
Shiyong Zhu +4 more
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Application of High-Performance Techniques for Solving Linear Systems of Algebraic Equations
Solving many problems in mechanics, engineering, medicine and other (e.g., diffusion tensor magnetic resonance imaging or finite element modeling) requires the efficient solving of algebraic equations. In many cases, such systems are very complex with a
Daniel Grzonka
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Precision Restoration to Minimize Soil Loss in a Watershed in the Atlantic Forest Domain
ABSTRACT The Turvo River Watershed, located in the Zona da Mata region of Minas Gerais and part of the Doce River Basin, faces serious problems of erosion and soil degradation, which compromise and reduce the quality of local water resources. Given this scenario, it is essential to implement environmental recovery strategies that prioritize the ...
Rodrigo Nobre Santana +6 more
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