Numerical Methods for the Study of Some Nonlinear Wave Equations

该奖项将支持美国-希腊合作社 由杰里·博纳教授领导的一个小组 宾夕法尼亚州立大学和一个类似的小组， 由Vassilios A.道格拉斯大学 希腊克里特岛 合作者打算进行 数值计算与理论研究 求解两个重要非线性偏微分方程的方法 微分方程：非线性薛定谔 方程和Korteweg-de弗里斯方程。 在过去的几年里，合作者 发表了几篇关于数字经济的重要论文， 上述偏微分的解 方程 这些方程是有价值的，因为它们 有助于模拟某些非线性波动现象， 出现在诸如水波的应用领域， 等离子体物理学和非线性光学。 通过支持 这些经验丰富、富有成效的 合作者，这个奖项将有助于推动我们的 理解非线性现象。

This award will support U.S.-Greece cooperative research between a group headed by Prof. Jerry Bona of Penn State University and a similar group headed by Prof. Vassilios A. Dougalis of the University of Crete, Greece. The collaborators intend to conduct computational and theoretical research on numerical methods for solving two important nonlinear partial differential equations: the nonlinear Schroedinger equation and the Korteweg-de Vries equation. Over the past few years the collaborators have produced several important papers on the numerical solution of the mentioned partial differential equations. These equations are valued because they help to model certain nonlinear wave phenomena that occur in areas of applications such as water waves, plasma physics and nonlinear optics. By supporting the interaction of these experienced and productive collaborators, this award will help to advance our understanding of nonlinear phenomena.