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Rate of Convergence in Trotter’s Approximation Theorem

✍ Scribed by Michele Campiti; Cristian Tacelli


Publisher
Springer
Year
2008
Tongue
English
Weight
276 KB
Volume
28
Category
Article
ISSN
0176-4276

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A convergence rate theorem for finite di
✍ John D. Towers 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 162 KB

We prove a rate of convergence theorem for approximations to certain integrals over codimension one manifolds in R n . The type of manifold involved here is defined by the zero level set of a smooth mapping u : R n 7 !R. Our approximations are based on the two finite difference methods for discretiz