... Tikhonov regularization Nonlinear optimization Stability analysis Longitudinal vibrations of elastic rods are frequently seen in computational physics modeling, which is defined by the second-order hyperbolic equations of under the assumption that the bar is comparatively long and thin. When...

... measurement Tikhonov regularization Nonlinear optimization Simplifying equation (6) , we get (7) − 2 − β k 2 − α k u i − 1 , j + 1 + 2 h 2 + 4 + 2 β k 2 + 2 α k − h 2 k 2 a j + 1 u i , j...

... 06 03 2021 © Emerald Publishing Limited 2021 Emerald Publishing Limited Licensed re-use rights only Boussinesq-Love equation Inverse identification problem Non-local integral condition Tikhonov regularization Nonlinear optimization The Boussinesq-type equations are depth...

... ( t ) ( κ 2 ( x 2 , t ) − κ 1 ( x 2 , t ) ) d x 2 + b 2 ( t ) ∫ 0 l ( t ) ( κ 4 ( x 1 , t ) − κ 3 ( x 1 , t ) ) d x 1 . Inverse problem Nonlinear optimization Tikhonov regularization Free boundary Two-dimensional...

... analysis Levenberg–Marquardt Mesh Parameterization Nonlinear optimization In Constrained-Boundary parameterizations, the border of the mesh is constrained in the resulting parameterization. Such constraint is forced by mapping the vertices of the mesh border to a fixed shape (e.g. a disk...