IMEEuler: the 1-stage implicit exponential Euler method of order (stiff) one proposed in [11]. Second-order methods: IMMVERK12: the 1-stage implicit MVERK method (27) of order (classical) two presented in this paper; IMSVERK12: the 1-stage implicit SVERK method (25) of order (clas...
The present study aims to modify a recently suggested implicit approach consisted of the approximate Euler method and closed-form exponential mapping (herein referred to as the Liu scheme) for the dynamic analysis of structures. Such modification has been developed based upon nonstandard rules. The ...
The time step is bigger than backward Euler method in which Δt=0.1. However we do not need to solve the nonlinear systems in every time level, so this time step is acceptable for our method. Example 2 Ground and first excited states in 2D under a combined harmonic and optical lattice ...
The present study aims to modify a recently suggested implicit approach consisted of the approximate Euler method and closed-form exponential mapping (herein referred to as the Liu scheme) for the dynamic analysis of structures. Such modification has been developed based upon nonstandard rules. The ...
Moreover, the intrinsic delay of the feature matching execution is taken into account using a modified extrapolation method. Keywords: optical navigation; epipolar constraints; Kalman filter; relative terrain navigation; features-based method; visual odometry; implicit constraints...