U.S.-Bulgaria Mathematics Research on Diffusion-Convection Problems

美国的主要目标是-保加利亚数学 大学的理查德·尤因博士 怀俄明州的Raytcho Lazarov博士和 数学，保加利亚科学院，是设计， 实施和测试各种方案的数值解 反应-对流-扩散方程组。 的 工作将基于离散化方法，如有限 元，有限差分，混合元，方法 特征和间断Galerkin方法。 结果 可以产生有效和准确的数值方法， 模拟污染物传输，能量转换系统， 地下水水文学和热质迁移。 这个应用数学的项目实现了这个计划， 促进科学知识的目标， 美国和东欧的专家将联合收割机 人才互补，汇聚科研资源， 强烈的共同兴趣和能力。

The primary objective of this U.S.-Bulgaria mathematics research project between Dr. Richard Ewing of the University of Wyoming and Dr. Raytcho Lazarov of the Institute of Mathematics, Bulgarian Academy of Sciences, is to devise, implement and test various schemes for the numerical solution of systems of reaction-convection-diffusion equations. The work will be based on discretization methods such as finite elements, finite differences, mixed elements, method of characteristics and discontinuous Galerkin method. Results may yield efficient and accurate numerical methods useful in modeling contaminant transport, energy conversion systems, groundwater hydrology and heat and mass transfer. This project in applied mathematics fulfills the program objective of advancing scientific knowledge by enabling experts in the United States and Eastern Europe to combine complementary talents and pool research resources in areas of strong mutual interest and competence.