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technique is non‐iterative and treats the governing load–deflection relations as a system of ordinary differential equations . This permits the governing equations to be integrated adaptively where the step ...
differential equations based on a second - order expansion of a Lagrangian provides linear updates of the control and a locally optimal feedback controller. The process involves a backward and a forward ...
efficiently and stably solves dynamic equations with consistent and under- integrated mass matrices conserving the linear and angular momenta as well as the system's energy for long- integration times. ...
for the quadratic integrability of the solutions of linear second order time-variant differential equations are developed. Secondly, the optimal control form of the ship automatic steering instrument is obtained ...
are generally restricted to first or second order (or to linear equations with constant coefficients) the new solver attempts to solve equations of any order , even if they are nonlinear and/or have variable ...
the FeynmanKac path integral representation for hyperbolic problems where the governing partial differential equation is of the second order in time. Although there have been several attempts to arrive at some ...
equations of second ‐ order . Incorporating inelastic material properties, thermo‐mechanical coupling and particular Dirichlet boundary conditions essentially changes the underlying mathematical problem ...
-like or black-box-like behaviour of the software. We discuss the automatic generation of first and second order shape derivatives for unconstrained model problems as well as for more realistic problems ...
ordinary differential equations are solved simultaneously with the train’s second - order non- linear dynamic differential equations of motion that are based on the trajectory coordinates. The train car non ...
quantities. Therefore the DAE-system the time increment difficult. has to be linearized with respect to the complete set of Our work utilizes a second order BDF2 time integration unknowns, coupling ...
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