PDESYSPARTIAL DIFFERENTIAL EQUATIONS IN BIOMEDICINE

描述（改编自申请人的摘要）：这是一个第二阶段的提案 制作个人电脑软件包PDESTOM， 一个交互式图形环境，用于定义、求解和查看 定常和含时椭圆型方程组的解 任意一维和二维空间上的微分方程 域. 将用有限元法求解这些方程 在二维域上，而有限差分方法将用于 1-维度域 对于二维问题， PDE系统的特征向量可以使用有限元 基和Jacobi子空间迭代法。 的偏微分方程（pdes）的类型来处理的 所提出的软件在生物医学、科学和工程中无处不在。 用于求解PDE系统的现有软件包很大并且难以使用， 其中很少有可用于微型计算机的。该提案描述了 该系统旨在方便、灵活和高效。 是 适用于技术不太熟练的用户， 数值分析 这个方案与其他方案的区别在于， 它将强调方便。 PDEEE将使用MLAB建模语言 作为它的交互式图形外壳。

DESCRIPTION (Adapted from applicant's abstract):This is a Phase II proposal to produce PDESYS, a software package for personal computers which provides an interactive graphical environment for defining, solving and viewing the solutions to systems of stationary and time-dependent elliptic partial differential equations (pdes) on arbitrary 1- and 2-dimensional spatial domains. The finite element method will be used to solve these equations on 2-dimensional domains while finite difference methods will be used for 1-dimensional domains. For 2-dimensional problems, the lower eigenvalues and eigenvectors of pde systems may be computed using the finite element basis and the Jacobi subspace iteration method. Partial differential equations (pdes) of the types to handled by the proposed software are ubiquitous in biomedicine, science and engineering. Existing packages for solving pde systems are large and difficult to use, and few of them are available for microcomputers. The proposal describes a system that is intended to be convenient, flexible and efficient. It is intended to be suitable for users who are less technically proficient in numerical analysis. What will distinguish this package from others is that it will emphasize convenience. PDESYS will use the MLAB modeling language as its interactive graphical shell.