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Showing 1 to 17 of 17 for “"trapezoidal rule"”.
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Evaluation of a direct time integration scheme for dynamic analysis
… widely used direct integration schemes is the trapezoidal rule. It is favored because it is a method that requires single steps and its results are second-order accurate. However, in cases where there are large deformations and longer integration times, the trapezoidal rule fails. A new …
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Time integration schemes for piecewise linear plasticity
The formulation of a generalized trapezoidal rule for the integration of the constitutive equations for a convex elastic-plastic solid is presented. This rule, which is based on an internal variable description, is consistent with a generalized trapezoidal rule for creep. It is shown that by …
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Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies
… schemes which include the generalised trapezoidal rule and a generalised Newton-Raphson scheme. This approach provides theoretical foundations for the generalised trapezoidal rule and the generalised Newton-Raphson scheme that have some geometrical insights as well as an interpretation …
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An analysis of the TR-BDF2 integration scheme
… our understanding of how the combined L-stable 'Trapezoidal Rule with the second order Backward Difference Formula' (TR-BDF2) integrator and the standard A-stable Trapezoidal integrator perform on systems of coupled non-linear partial differential equations (PDEs). It was originally Professor …
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Time intergration schemes for rate dependent elasto-plastic constitutive equations
… Algorithm, including the Midpoint Method, the Trapezoidal Rule and the Backward Euler Method with Radial Return. Each method displays its own advantages when applied to different input parameters (being material properties, initial stresses and strains, and increments in time and strain).
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Inverting multivariate analytic characteristic functions with financial applications
… pdfs and cdfs can be approximated by the trapezoidal rule conveniently with great accuracy. Monte Carlo methods can be applied for option sensitivity analysis. Under multi-dimensional models, acceptance-rejection method is desirable. Simulating from a distribution without explicit pdf or …
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A comparison of numerical algorithms for solution of the transient stability problem
… fourth-order Runge-Kutta; state transition; the trapezoidal rule; Adams-Moulton predictor-corrector; and Hamming predictor-corrector. The five algorithms, using various step sizes, are applied to three test systems, including the IEEE l4-bus system, using a common main program to call each …
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Atstatymo lygties sprendinio aproksimavimas klasikiniame rizikos modelyje /
… schemes such as left and right Riemann sums, trapezoidal rule, and Simpson’s rule, four methods suitable for the recovery equation are derived. We empirically assess the convergence rate of the methods, determine the step sizes h for which the methods are stable, and propose possible …
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Métodos de redução de base para problemas térmicos em regime transiente com condições de contorno de radiação e convecção
… shown that reduction methods, embedded within a trapezoidal rule algorithm for time marching with a Newton-Raphson scheme, provide an accurate, reliable and fast solution strategy. However, when the nonlinearities are restricted to the boundaries, as in the case of radiation boundaries, another …
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Contributions to the direct time integration in wave propagation analyses
… of adjustable parameters when the commonly used trapezoidal rule results in unstable solutions. We then focus on additional important attributes of the scheme. We present dispersion properties of the Bathe method and show that its desired characteristics for structural dynamics are also valuable …
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The effects of prolonged standing compared to prolonged sitting on postprandial lipemia
… and triglyceride were calculated with the trapezoidal rule. Prolonged standing resulted in significantly lower plasma triglyceride concentration (p=0.036) and an 11.3% decrease in total AUC (p=0.022) compared to sitting, but no change in incremental AUC (AUCi) was detected (p=0.186). There …
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Analysis, simulation and design of nonlinear RF circuits
… methods are more accurate than the traditional trapezoidal rule and Runge-Kutta methods. The second part of the research is concerned with the analysis, simulation and design of RF circuits with emphasis on injection-locked frequency dividers (ILFD) and digital delta-sigma modulators (DDSM). …
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Correlstion between the volume of slurry and the volume of fracture in Barnett Shale
… of the analyses from Surfer VI were from (i) Trapezoidal rule; and (ii) Simpson’s rules, which gave an average result of 6.7 x 1010 cubic ft, the discrete bin method was calculated from the equation of fracture network half-length where length (2xf) and width (xn) represented the fracture …
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Improving rational modeling realization for accurate EMT simulations
… multistep integration methods, such as the Trapezoidal Rule, are subject to an error often neglected in electromagnetic transient (EMT) analyses, known as Frequency Warping. This thesis establishes the frequency warping as a fundamental problem that compromises the accuracy of EMT …
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The dynamics of geometrically compliant mooring systems
… cable dynamics equations, including box method, trapezoidal rule, backward differences, and Newmark’s method, the generalized-a algorithm has the advantages of second-order accuracy, controllable numerical dissipation, and improved stability when applied to the nonlinear problem. The numerical …
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Deterministic numerical simulation of the Boltzmann and kinetic model equations for classical and quantum dilute gases
… that the accuracy is improved by replacing the trapezoidal rule with Gauss-Legendre quadrature in the calculation of the kernel mode, and the conservation of momentum and energy are ensured by the Lagrangian multiplier method without loss of spectral accuracy. The relax-to-equilibrium processes …
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Statistical inference based on characteristic functions for intractable likelihood problems
This dissertation is devoted to statistical inference based on characteristic functions. For some popular stochastic processes (e.g., Lévy processes, Lévy driven Ornstein-Uhlenbeck processes), the transition density may not be available. However, the (conditional) characteristic function is …