An example, a model rotor system, is numerically analyzed by above mentioned theoretical solution and three general numerical integration methods the Euler backward difference method, Newmark method and Houbolt method.
Three numerical integration methods of nonlinear first-order differentialequations on transient stability of power system are presented in detail,which are respectively Euler method,modified Euler method and Runge-Kutla method (R-KM) which includes second-order R-KM,fourth-order R-KM and Gill's version of fourth-order R-KM.
The effect of numerical integration in finite element methods for nonlinear parabolic equations
Application of Recursive Constructs for Numerical Integration and Determination of Invariant Errors
Relaxation oscillations of the concentrations of the system participants were demonstrated using the numerical integration method.
Both damped and undamped oscillations of reaction components were obtained by numerical integration of the mathematical models of these reactions.
The investigation consists of the numerical integration of equations of the satellite's motion, which take into account gravitational and restoring aerodynamic moments, as well as the evolution of the orbit.
Numerical integration methods for the Takagi-Taupin equations for crystals of rectangular cross section
Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package.
Development of direct numerical integration methods for one-dimensional integro-differential equations in mechanics
The corresponding discretization method is presented, and the results can be used to implementation of various numerical integration methods.
We consider semi-analytical and purely numerical integration methods for weakly singular integrals with point singularities on curved smooth surfaces.