Discrete Dirichlet integral formula

DOI10.1016/0166-218X(88)90122-9zbMath0661.94022MaRDI QIDQ1113878

Takashi Kayano, Maretsugu Yamasaki

Publication date: 1988

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

LaplacianDirichlet integralnetwork theoryGreen's formuladissipation formula

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Applications of graph theory to circuits and networks (94C15)

Related Items

A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks ⋮ A Hilbert space approach to effective resistance metric ⋮ Solving boundary value problems on networks using equilibrium measures ⋮ Boundary value problems on weighted networks

Cites Work

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• Ideal boundary limit of discrete Dirichlet functions
• Dirichlet integrals on harmonic spaces
• The limb analysis of countably infinite electrical networks
• Extremum problems on an infinite network
• Parabolic and hyperbolic infinite networks
• Discrete potential and boundary value problems
• Discrete potential theory
• A Note on the Shorted Operator
• Infinite networks: I--Resistive networks