首页|A LOW-REGULARITY FOURIER INTEGRATOR FOR THE DAVEY-STEWARTSON Ⅱ SYSTEM WITH ALMOST MASS CONSERVATION
A LOW-REGULARITY FOURIER INTEGRATOR FOR THE DAVEY-STEWARTSON Ⅱ SYSTEM WITH ALMOST MASS CONSERVATION
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
万方数据
In this work,we propose a low-regularity Fourier integrator with almost mass conservation to solve the Davey-Stewartson Ⅱ system(hyperbolic-elliptic case).Arbitrary order mass convergence could be achieved by the suitable addition of correction terms,while keeping the first order accuracy in Hγ × Hγ+1 for initial data in Hγ+1 × Hγ+1 with γ＞1.The main theorem is that,up to some fixed time T,there exist constants τo and C depending only on T and||u||L∞((o,T);Hγ+1)such that,for any 0＜τ ≤ To,we have that||u(tn,·)-un||Hγ ≤ Cτ,||v(tn,·)-vn||Hγ+1 ≤ Cτ,where un and vn denote the numerical solutions at tn=nτ.Moreover,the mass of the numerical solution M(un)satisfies that|M(un)-M(uo)|≤ Cτ5.
Davey-Stewartson Ⅱ systemlow-regularityexponential integratorfirst order accuracymass conservation
宁翠、郝晨曦、王耀宏
展开 >
School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou 510521,China
Center for Applied Mathematics,Tianjin University,Tianjin 300072,China
NSFCScience and Technology Program of Guangzhou,ChinaNSFC
万方数据
