Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets
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9780387848075, 9780387848082

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Minimal Energy Asymptotics in the “Harmonic Series” Case

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_9 ◽

2019 ◽

pp. 411-440

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Harmonic Series ◽

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Optimal Discrete Measures for Potentials: Polarization (Chebyshev) Constants

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_14 ◽

2019 ◽

pp. 539-602

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Chebyshev Constants ◽

Discrete Measures

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Preliminaries

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_1 ◽

2019 ◽

pp. 13-47

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

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An Overview: Discretizing Manifolds via Particle Interactions

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_0 ◽

2019 ◽

pp. 1-11

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Particle Interactions

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Low-Complexity Energy Methods for Discretization

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_12 ◽

2019 ◽

pp. 497-524

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Low Complexity ◽

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Asymptotics for Energy Minimizing Configurations on $$S^d$$

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_6 ◽

2019 ◽

pp. 261-327

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

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Linear Programming Bounds and Universal Optimality on the Sphere

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_5 ◽

2019 ◽

pp. 193-260

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Linear Programming ◽

Universal Optimality

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Basic Properties and Examples of Minimal Discrete Energy

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_2 ◽

2019 ◽

pp. 49-75

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Discrete Energy ◽

Basic Properties

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Minimal Energy in the Hypersingular Case

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_8 ◽

2019 ◽

pp. 355-410

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

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Continuous Energy and Its Relation to Discrete Energy

Springer Monographs in Mathematics - Discrete Energy on Rectifiable Sets ◽

10.1007/978-0-387-84808-2_4 ◽

2019 ◽

pp. 127-191

Author(s):

Sergiy V. Borodachov ◽

Douglas P. Hardin ◽

Edward B. Saff

Keyword(s):

Discrete Energy ◽

Continuous Energy

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