Results 71 to 80 of about 884,568 (273)
Variational Integrators in Holonomic Mechanics
Mathematics, 2020 Variational integrators for dynamic systems with holonomic constraints are proposed based on Hamilton’s principle. The variational principle is discretized by approximating the generalized coordinates and Lagrange multipliers by Lagrange polynomials, by ...
Shumin Man, Qiang Gao, Wanxie Zhong
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Gauss–Laguerre interval quadrature rule
Journal of Computational and Applied Mathematics, 2005 A Gaussian interval quadrature formula with respect to the positive weight \(w\) is a quadrature formula of the form \[ \int _a^bfw\,dx\approx \sum _{k=1}^n \frac {\mu _k}{2h_k}\int _{x_k-h_k}^{x_k+h_k}fw\,dx, \] which integrates exactly all polynomials of degree less than \(2n\).
Milovanović, Gradimir V. +1 more
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Post‐tensioned cross‐laminated timber (PT‐CLT) rocking walls offer a compelling seismic system combining self‐centering behavior with energy dissipation. However, progress in their performance assessment and design has been limited by the lack of a comprehensive parametric modeling tool, as exists for steel or reinforced concrete systems. This
Ghasem B. Shargh +3 more
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A Note on Extended Gaussian Quadrature Rule [PDF]
Mathematics of Computation, 1976 Extended Gaussian quadrature rules of the type first considered by Kronrod are examined. For a general nonnegative weight function, simple formulas for the computation of the weights are given, together with a condition for the positivity of the weights associated with the new nodes.
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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Generalized anti-Gauss quadrature rules
Journal of Computational and Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miroslav S. Pranic, Lothar Reichel
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High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows
International Journal for Numerical Methods in Fluids, EarlyView.In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer +2 more
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Journal of Applied Mathematics, 2013 This study examined the characteristics of a variable three-point Gauss quadrature using a variable set of weighting factors and corresponding optimal sampling points. The major findings were as follows.
Young-Doo Kwon +3 more
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, 2016 A model is set up which embodies the basic features of Adaptive quadrature routines involving mixed rules. Not before mixed quadrature rules basing on anti-Gaussian quadrature rule have been used for fixing termination criterionin Adaptive quadrature routines.
Singh, Bibhu Prasad, Dash, Rajani Ballav
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Greenhouse Gases: Science and Technology, EarlyView.ABSTRACT Scaling geological CO2 storage requires simultaneously controlling plume migration, pressure buildup, geomechanical integrity, and monitoring cost under deep subsurface uncertainty. Yet early‐stage assessments often treat these elements in isolation, obscuring the decision‐critical couplings between pressure‐defined regulatory exposure and ...
Mrityunjay Singh, Heba Atef, Ingo Sass
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