Mathematical Sciences: A Numerical Study of Propagation of Singularities for Semilinear Hyperbolic Systems

主要的研究者将研究具有分段光滑初始数据的半线性严格双曲组的奇点的传播。这在计算空气动力学中有应用。计算流体力学可以提供关于复杂物理现象的非常详细的信息。数值格式的收敛速度有助于确定信息的精确度。

The principal investigator will investigate the propagation of singularities for semilinear strictly hyperbolic systems with piecewise smooth initial data. This has applications in computatonal aerodynamics. Computational fluid dynamics can give very detailed information about complex physical phenomena. The rate of convergence of numerical schemes is useful in determining how accurate the information is.