SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 804-822 (19 pages) Interval Newton methods in conjunction with generalized bisection can form the basis of algorithms that find all ...

We consider the nonlinear system of equations that results from the Van Leer flux vector-splitting discretization of the one dimensional Euler equations. This nonlinear system is linearized at the ...