“…Furthermore, a numerical integration algorithm was developed to simulate the coupled elastoplastic damage behavior of sandstone. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Therefore, the knowledge of the master equation associated with a given Fokker–Planck equation is extremely important for the correct numerical integration of the latter, since it provides a unique, physically motivated discretization scheme. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Niederreiter and Halton sequences are two prominent classes of higher-dimensional sequences which are widely used in practice for numerical integration methods because of their excellent distribution qualities. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…By doing so, we completely bypass the need for numerical integration and achieve substantial savings in computational time. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Residual stresses are considered through two fiber plastic hinges by assigning initial stress values. A numerical integration procedure using Newmark integration combined with the Newton-Raphson balanced iteration algorithm is developed to find a solution to nonlinear dynamic equilibrium equations of the structural system. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Using numerical integration, in 1969 Penston (Mon Not R Astr Soc 144:425–448, 1969) and Larson (Mon Not R Astr Soc 145:271–295, 1969) independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state [Formula: see text] , [Formula: see text] , and subject to Newtonian gravity. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The original optimization method involves a numerical integration algorithm and an optimization algorithm based on k-nearest neighbour non-parametric regression. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The mean force and the mean torque on the nanocrystal were evaluated with sufficiently long simulation at each crystal configuration, and their numerical integration gave a smooth free energy surface as the potential of mean force. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…[Image: see text] We show that properties of molecules with low-frequency modes calculated with density functional approximations (DFAs) suffer from spurious oscillations along the nuclear displacement coordinate due to numerical integration errors. Occasionally, the problem can be alleviated using extensive integration grids that compromise the favorable cost-accuracy ratio of DFAs. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…However, the accuracy of the B-dot for measuring aircraft high-frequency lightning current is greatly affected by factors such as numerical integration drift, high-frequency oscillation, and calibration. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The axial component of velocity and flow rate is computed through numerical integration. Graphical results for the mean velocity perturbation function, net flow and axial velocity have been presented and discussed. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Due to their good performance, D-dot sensors, combined with numerical integration computation for signal recovery, are commonly used to measure electromagnetic pulses (EMPs). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We examined the effects of including only 2 or 3 rather than all 4 data points in the TACC, and the effect of numerical integration method (mono-exponential alone or in combination with trapezoidal rule) on the absorbed dose and half-life estimates. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…All chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is greatly expanded as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms. …”
Enlace del recurso
Enlace del recurso

“…This book and its sister volume, Solar System Astrophysics: Background Science and the Inner Solar system, are pedagogically well written, providing clearly illustrated explanations, for example, of such topics as the numerical integration of the Adams-Williamson equation, the equations of state in planetary interiors and atmospheres, Maxwell’s equations as applied to planetary ionospheres and magnetospheres, and the physics and chemistry of the Habitable Zone in planetary systems. …”
Enlace del recurso
Enlace del recurso

“…It consists of using a general kinetic equation to find the functional form of the kinetic model via numerical integration and optimization. The procedure has been tested both with simulated data affected by nonuniform particle size and experimental data corresponding to the pyrolysis of ethylene-propylene-diene.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…A metric (the initial velocity) has been adopted, and its reliability for the quantification of several effects was proven by theoretical derivation, Runge–Kutta numerical integration calculations and through the model equation proposed. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We use Richardson extrapolation to assess the uncertainty of numerical integration of density gradients, based on residuals of density results across two grid levels. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The obtained closed form solutions are presented in the form of simple or multiple integrals in terms of Bessel functions and terms with only Bessel functions. The numerical integration is performed and the graphical results are displayed for the involved flow parameters. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The real part of the permittivity values were used in electric field simulations, from which different components of capacitance were calculated via numerical integration for input to the electrical circuit analogue. …”
Enlace del recurso