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1 |
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|a Borodachov, Sergiy V.,
|e author.
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| 245 |
1 |
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|a Discrete energy on rectifiable sets /
|c Sergiy V. Borodachov, Douglas P. Hardin, Edward B. Saff.
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| 264 |
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1 |
|a New York, NY :
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|c 2019.
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|a Springer monographs in mathematics,
|x 1439-7382.
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|a Includes bibliographical references and index.
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| 588 |
0 |
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|a This book gathers new ideas from both the mathematical and physics communities to explore recent breakthroughs in the minimum energy approach to discretization, connecting theoretical mathematics, computational methods and physical/biological applications.
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| 505 |
0 |
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|a 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.
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| 650 |
|
0 |
|a Discrete mathematics.
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| 650 |
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|a Discrete mathematics.
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