论文标题
定量塔有限差分计算，近似于连续体
Quantitative towers in finite difference calculus approximating the continuum
论文作者
论文摘要
连续级别的多人字段和差异形式分别具有两种交换产品，这是它们与各种运营商之间的第三个组成产品，例如$ \ partial $，$ d $和$*$，用于描述许多非线性问题。本文的目的是构建对这些结构有限维近似的一致直接和反向系统，并通过合并构建这些有限尺寸模型与连续性理想化的不同之处。在欧几里得背景中，有一个明确的答案，这是自然的统计答案。
Multivector fields and differential forms at the continuum level have respectively two commutative associative products, a third composition product between them and various operators like $\partial$, $d$ and $*$ which are used to describe many nonlinear problems. The point of this paper is to construct consistent direct and inverse systems of finite dimensional approximations to these structures and to calculate combinatorially how these finite dimensional models differ from their continuum idealizations. In a Euclidean background there is an explicit answer which is natural statistically.
