Split-step Padémethod and split-step fourier method are applied to the higher- order nonlinear Schrdinger equation.It is proved that a combination of Padé scheme and spectral method is the most effective met...Split-step Padémethod and split-step fourier method are applied to the higher- order nonlinear Schrdinger equation.It is proved that a combination of Padé scheme and spectral method is the most effective method,which has a spectral-like resolution and good stability nature.In particular,we propose an unconditional stable implicit Padé scheme to solve odd order nonlinear equations.Numerical results demonstrate the excellent performance of Padé schemes for high order nonlinear equations.展开更多
文摘可逆加成-断裂-链转移(reversible addition-fragmentation-chain transfer,RAFT)聚合诱导自组装(polymerization-induced self-assembly,PISA)是制备具有特定形貌嵌段共聚物纳米颗粒的高效手段.以苯乙烯(styrene,St)为分散聚合的单体,PDMA_(23)和PDMA_(38)为大分子链转移剂(chain transfer agent,CTA),乙醇为溶剂,在70℃下探究了纳米颗粒的形貌随不同聚合度(degree of ploymerizations,DPs)的转变情况.由实验结果可知:以PDMA_(23)为链转移剂,可调控苯乙烯的聚合度,得到球、虫、囊泡、复合囊泡等形貌;以PDMA_(38)为链转移剂,可在较宽的聚合度范围内得到均匀的球形纳米颗粒.
基金This work is supported by the National Natural Science Foundations of Chinese under grant Nos, 10371118 and 90411009.
文摘Split-step Padémethod and split-step fourier method are applied to the higher- order nonlinear Schrdinger equation.It is proved that a combination of Padé scheme and spectral method is the most effective method,which has a spectral-like resolution and good stability nature.In particular,we propose an unconditional stable implicit Padé scheme to solve odd order nonlinear equations.Numerical results demonstrate the excellent performance of Padé schemes for high order nonlinear equations.
