Optimal Filtering for the Backward Heat Equation
Copyright policy ) Seidman, Thomas I.;
Optimal Filtering for the Backward Heat Equation
The purpose of this paper is to find an a priori initial bound for optimal filtering for backward heat equation. It is shown how this may be implemented computationally with error estimates. The feasibility of this work for practical computation is limited. No numerical experiment is performed.
- University of Maryland, Baltimore United States
- University of Maryland, Baltimore County United States
error estimates, Heat equation, optimal filtering, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, Ill-posed problems for PDEs, backward heat equation
error estimates, Heat equation, optimal filtering, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, Ill-posed problems for PDEs, backward heat equation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).51 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 51
Top 10%
Top 10%
Average
bronze
Fields of Science