In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws,we construct a class of uniformly second order accurate finite difference schemes, which are based on the E-schemes. By ap...In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws,we construct a class of uniformly second order accurate finite difference schemes, which are based on the E-schemes. By applying the conver gence theorem of Coquel-Le Floch [1], the family of approximate solutions defined by the scheme is proven to converge to the unique entropy weak L∞-solution. Furthermore, some numerical experiments on the Cauchy problem for the advection equation and the Riemann problem for the 2D Burgers equation are given and the relatively satisfied result is obtained.展开更多
Chinese culture is broad and profund,we have 5000 years’ histories.during the 5000 years emerge lots of literatures which show us the political,economic,cultural situation.Recent years,many author translate these cre...Chinese culture is broad and profund,we have 5000 years’ histories.during the 5000 years emerge lots of literatures which show us the political,economic,cultural situation.Recent years,many author translate these creams to other countries for futher study of Chinese culture,however,we have lots of difference: habit difference;religion difference;custom difference;culture difference;language difference.thus,It’s hard to translate thses,here we also have some principles for translation: be loyal to the original work both on meaning and style;,here,I will analysis two copies a dream of red mansion to find out different translate approach.展开更多
文摘In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws,we construct a class of uniformly second order accurate finite difference schemes, which are based on the E-schemes. By applying the conver gence theorem of Coquel-Le Floch [1], the family of approximate solutions defined by the scheme is proven to converge to the unique entropy weak L∞-solution. Furthermore, some numerical experiments on the Cauchy problem for the advection equation and the Riemann problem for the 2D Burgers equation are given and the relatively satisfied result is obtained.
文摘Chinese culture is broad and profund,we have 5000 years’ histories.during the 5000 years emerge lots of literatures which show us the political,economic,cultural situation.Recent years,many author translate these creams to other countries for futher study of Chinese culture,however,we have lots of difference: habit difference;religion difference;custom difference;culture difference;language difference.thus,It’s hard to translate thses,here we also have some principles for translation: be loyal to the original work both on meaning and style;,here,I will analysis two copies a dream of red mansion to find out different translate approach.
