Efficient symbolic-numeric algorithms for structured constrained differential polynamial systems

符号计算是一门研究算法和软件系统来处理数学表达式的学科。直到最近，这些算法还只能处理精确表达式和方程。在数据近似的应用需求的驱动下，该学科已经发展到包括多项式方程的符号-数值计算。这是将精确符号计算的通用性与数值计算的现实性和效率相结合的广泛努力的一部分。

Symbolic Computation is the study of algorithms and software systems to manipulate mathematical expressions. Until recently the algorithms have processed exact expressions and equations only. Driven by the needs of applications, in which data is approximate, the subject has grown to include symbolic-numeric computation for polynomial equations. This is part of a broad effort to combine the generality of exact symbolic computation with the realism and efficiency of numeric computation.