Discrete energy on rectifiable sets. (2019)

• Record Type: Book
• Further Information: Note: Sergiy V. Borodachov, Douglas P. Hardin, Edward B. Saff.
• Authors: Borodachov, Sergiy V; Hardin, Douglas P; Saff, E. B, 1944-
• Contents: 0. An Overview: Discretizing Manifolds via Particle Interactions.-1. Preliminaries.- 2. Basics of Minimal Energy.- 3.-Introduction to Packing and Covering.- 4. Continuous and Discrete Energy.- 5. LP Bounds on the Sphere.- 6. Asymptotics for Energy Minimizing Congurations on Sd.- 7. Some Popular Algorithms for Distributing Points on S2.- 8. Minimal Energy in the Hypersingular Case.- 9. Minimal Energy Asymptotics in the "Harmonic Series" Case.- 10. Periodic Riesz Energy.- 11. Congurations with non-Uniform Distribution.- 12. Low Complexity Energy Methods for Discretization.- 13. Best-Packing on Compact Sets.- 14. Optimal Discrete Measures for Potentials: Polarization (Chebyshev) Constants.- Appendix.- References.- List of Symbols.- Index.
• Publisher Details: New York, NY : Springer
• Publication Date: 2019
• Extent: 1 online resource (xviii, 666 pages), illustrations (some color)
• Subjects: 511/.1; Discrete mathematics; Electronic books; Electronic books
• Languages: English
• ISBNs: 9780387848082; 0387848088
• Related ISBNs: 9780387848075
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed November 4, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.