Method for Reduced Basis Discovery in Nonstationary Problems

Doklady Mathematics(2021)

Cited 2|Views15
No score
Abstract
Model reduction methods allow to significantly decrease the time required to solve a large ODE system in some cases by performing all calculations in a vector space of significantly lower dimension than the original one. These methods frequently require apriori information about the structure of the solution, possibly obtained by solving the same system for different values of parameters. We suggest a simple algorithm for constructing such a subspace while simultaneously solving the system, thus allowing one to benefit from model reduction even for a single system without significant apriori information, and demonstrate its effectiveness using the Smoluchowski equation as an example.
More
Translated text
Key words
Smoluchwoski equation,model reduction,method of snapshots
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined