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Discrete Laplace operator
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Related lectures (9)
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Time-Varying Consensus Algorithms
Explores time-varying consensus algorithms in networked control systems and the Laplacian matrix's role in achieving average consensus.
Geometric Computing: Exam Practice
Covers exam practice questions on geometric computing topics like 2D shapes, functions, barycentric coordinates, and Laplace Operator.
Networked Control Systems: Laplacian Flow and Heat Equation
Explores Laplacian flow, heat equation analogies, and microgrid networked controllers.
Modeling Heat Equation
Covers the modeling of the heat equation using Laplacian operator and Riemann varieties.
Network Sampling: Consistency, Models, and Dynamics
Explores network sampling consistency, models, and graph dynamics in real-life scenarios.
Nonparametric Network Summaries
Covers nonparametric network summaries, centrality measures, network modularity, and clustering coefficients.
Computing leading eigenvalues of the transfer operator
Explores computing the leading eigenvalue of a transfer operator beyond periodic points, focusing on mathematical settings, spectral radius estimation, and the Zaremba Conjecture.
Numerical Analysis: Solving Linear Systems in Higher Dimensions
Covers numerical analysis and optimization, focusing on solving linear systems in higher dimensions using finite difference methods.
Networked Control Systems: Laplacian Operators and Microgrids
Explores Laplacian operators on graphs and the model of DC microgrids.
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