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Asymptotic Approximationof Jacobi Functions and Their Zeros with Error Bounds
Asymptotic approximation Jacobi function Zero Error bounds
2007/12/12
The study of zeros of orthogonal functions is an important topic. In this paper, by improving the middle variable $x(t)$, we've got a new form of asymptotic approximation, completed with error bounds,...
ERROR BOUNDS FOR GLIMM DIFFERENCE APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITHOUT CONVEXITY
error bounds Glimm's scheme non-convexity
2007/12/12
In last century, D. Hoff and J. Smoller derived the error bounds for the Glimm difference approximations of the solutions to scalar conservation laws with convexity. Our work is to extend the correspo...