The large-scale convergence of homotopy parametric inversion method on the water quality model parameters calculated was used,with application in parametric inversion calculation of total phosphorus of Beijing Miyun R...The large-scale convergence of homotopy parametric inversion method on the water quality model parameters calculated was used,with application in parametric inversion calculation of total phosphorus of Beijing Miyun Reservoir.Through calculated and compared the error of sedimentation rate by homotopy parametric inversion method and genetic inversion calculation method,the results indicate that homotopy parametric inversion method has good stability,calculating speed,and even if the initial selection away from the objective function,the solution still has a good convergence.展开更多
In this paper we study nonlinear periodic deep water waves propagating on a background shear current,which decays exponentially with depth.We extend the study of Cheng,Cang and Liao(2009) by introducing a second param...In this paper we study nonlinear periodic deep water waves propagating on a background shear current,which decays exponentially with depth.We extend the study of Cheng,Cang and Liao(2009) by introducing a second parameter which measures the depth of the shear current.A high-order convergent analytical series solution is obtained by the homotopy analysis method(HAM).A detailed analysis of the impact of the depth parameter is given.We find that increasing this parameter so that the shear current is thinner reduces the wave phase speed,smoothes the wave crest,sharpens the trough,and enlarges the maximum wave height for the case of propagating waves on an opposing current;while it produces the opposite effect on an aiding current.展开更多
文摘The large-scale convergence of homotopy parametric inversion method on the water quality model parameters calculated was used,with application in parametric inversion calculation of total phosphorus of Beijing Miyun Reservoir.Through calculated and compared the error of sedimentation rate by homotopy parametric inversion method and genetic inversion calculation method,the results indicate that homotopy parametric inversion method has good stability,calculating speed,and even if the initial selection away from the objective function,the solution still has a good convergence.
基金supported by the National Natural Science Foundation of China (Grant No.51002195)
文摘In this paper we study nonlinear periodic deep water waves propagating on a background shear current,which decays exponentially with depth.We extend the study of Cheng,Cang and Liao(2009) by introducing a second parameter which measures the depth of the shear current.A high-order convergent analytical series solution is obtained by the homotopy analysis method(HAM).A detailed analysis of the impact of the depth parameter is given.We find that increasing this parameter so that the shear current is thinner reduces the wave phase speed,smoothes the wave crest,sharpens the trough,and enlarges the maximum wave height for the case of propagating waves on an opposing current;while it produces the opposite effect on an aiding current.
