Cross-Nativity Marriages, Gender, and Human Capital Levels of Children

Because the demographic composition of todays immigrants to the US differs so much from those of natives, immigrants may be less likely to socially integrate into U.S. society, and specically less likely to marry natives. This paper explores the relationship between immigrants' marriage patterns and the academic outcomes of their children. Using 2000 Census data, it is found that while marital decisions of foreign born females do not affect their children's academic success, foreign born males that marry foreign born females are less likely to have children that are high school dropouts. These relationships remain after using various methods to control for the endogeneity of the intermarriage decision. Although we cannot disentangle whether the benefits of same-nativity marriages for foreign born males arise from a more efficient technology in human capital production within the household or from increased participation in ethnic networks, it does appear that immigrant males have better educated children when they marry immigrant females.

Explicit and Implicit Methods In Solving Differential Equations

Differential equations are equations that involve an unknown function and derivatives. Euler's method are efficient methods to yield fairly accurate approximations of the actual solutions. By manipulating such methods, one can find ways to provide good approximations compared to the exact solution of parabolic partial differential equations and nonlinear parabolic differential equations.