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- Tao Tang, Zhen-huan Teng
- Math. Comput.
- 1997

It is proved that for scalar conservation laws, if the flux function is strictly convex, and if the entropy solution is piecewise smooth with finitely many discontinuities (which includes initial central rarefaction waves, initial shocks, possible spontaneous formation of shocks in a future time and interactions of all these patterns), then the error of… (More)

- Haitao Fan, Shi Jin, Zhen-huan Teng
- 1998

In this paper we study the zero reaction limit of the hyperbolic conservation law with stii source term @ t u + @ x f(u) = 1 u(1 ? u 2) : For the Cauchy problem to the above equation, we prove that as ! 0, its solution converges to piecewise constant (1) solution, where the two constants are the two stable local equilibrium. The constants are separated by… (More)

- Tao Tang, Zhen-huan Teng, Zhouping Xin
- SIAM J. Math. Analysis
- 2003

Spesielt gav deltagelse p a (i) stor inspirasjon til videre arbeid med hyperbolske konserveringslover. En rekke personer har ogs a lest gjennom oppgaven med henblikk p a forbedring av syntaktiske, pragmatiske og semantiske aspekter ved teksten. I denne forbindelse vil jeg gjerne f a takke 3 Kristine Osnes (som jeg for ffrste gang ble kjent med under… (More)

- Tao Tang, Zhen-huan Teng
- SIAM J. Numerical Analysis
- 2000

In this paper we address the questions of the convergence rate for approximate solutions to conservation laws with piecewise smooth solutions in a weighted W 1,1 space. Convergence rate for the derivative of the approximate solutions is established under the assumption that a weak pointwise-error estimate is given. In other words, we are able to convert… (More)

We study the structure and smoothness of non-homogeneous convex conservation laws. The question regarding the number of smoothness pieces is addressed. It is shown that under certain conditions on the initial data the entropy solution has only a finite number of discontinuous curves. We also obtain some global estimates on derivatives of the piecewise… (More)

- Zhen-huan Teng
- J. Comput. Physics
- 2010

The initial value problem of convex conservation laws, which includes the famous Burgers' (inviscid) equation, plays an important rule not only in theoretical analysis for conservation laws, but also in numerical computations for various numerical methods. For example, the initial value problem of the Burgers' equation is one of the most popular benchmarks… (More)

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