Objective
The aim of this project is the study of certain properties of concrete classes of infinite matrices understood as linear operators on vector-valued sequence spaces. The properties under consideration include Fredholmness, invertibility and stable approximation of the infinite matrix at hand. The classes of matrices studied range from the most general setting of the set of all matrices with operator entries, bounded diagonals and a certain off-diagonal decay to more specific classes with entries of a simpler type (e.g. complex numbers) and particular diagonal structure (e.g. almost periodic, random, slowly oscillating, etc.) and off-diagonal decay behaviour (e.g. absolutely summable decay, banded matrices, Jacobi matrices, etc.). Operators of those types and the question about the mentioned properties are ubiquitous in mathematics and physics. Prominent examples are Schrödinger operators arising in quantum physics or integral operators from wave scattering problems. The objectives of the proposal are to develop a theory of invertibility and Fredholm properties for various practically relevant classes of such matrices and to find efficient numerical methods for the approximate solution of the related equations.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences physical sciences quantum physics
- natural sciences mathematics applied mathematics numerical analysis
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2007-2-2-ERG
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
09111 Chemnitz
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.