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中文摘要：
提出基于Rosenbrock型指数积分的一维间断Galerkin有限元方法．该方法在空间上使用间断有限元方法离散，在时间上采用Rosenbrock型指数积分方法．这样不仅可以保持空间离散上的高精度，而且继承了指数时间积分方法具有显式大步长时间推进的优点．数值试验的结果表明，对于一维双曲守恒律问题，这种方法是一种有效的数值算法．
英文摘要：
A new Rosenbrock-type exponential discontinuous Galerkin method was developed. The method used discontinuous Galerkin method to discretize in space, while Rosenbrock-type exponential integrator method in time. Therefore, it not only has high accuracy to discretize in space, but also has excellent ability of explicit time marching with large time step. The numeri- cal tests demonstrate that the method is effective for problems of 1D hyperbolic conservation laws.
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