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Positive Definite Matrices K = A’CA |
Engineering Maths |
59m 50s |
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One-dimensional Applications: A = Difference Matrix |
Engineering Maths |
56m 48s |
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Network Applications: A = Incidence Matrix |
Engineering Maths |
57m 14s |
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Applications to Linear Estimation: Least Squares |
Engineering Maths |
1hr 07m |
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Applications to Dynamics: Eigenvalues of K, Solution of Mu” + Ku = F(t) |
Engineering Maths |
1hr 06m |
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Underlying Theory: Applied Linear Algebra |
Engineering Maths |
1hr 05m |
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Discrete vs. Continuous: Differences and Derivatives |
Engineering Maths |
1hr 07m |
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Applications to Boundary Value Problems: Laplace Equation |
Engineering Maths |
1hr 05m |
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Solutions of Laplace Equation: Complex Variables |
Engineering Maths |
1hr 09m |
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Delta Function and Green’s Function |
Engineering Maths |
1hr 00m |
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Initial Value Problems: Wave Equation and Heat Equation |
Engineering Maths |
1hr 06m |
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Solutions of Initial Value Problems: Eigenfunctions |
Engineering Maths |
1hr 06m |
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Numerical Linear Algebra: Orthogonalization and A = QR |
Engineering Maths |
1hr 11m |
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Numerical Linear Algebra: SVD and Applications |
Engineering Maths |
1hr 00m |
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Numerical Methods in Estimation: Recursive Least Squares and Covariance Matrix |
Engineering Maths |
1hr 06m |
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Dynamic Estimation: Kalman Filter and Square Root Filter |
Engineering Maths |
1hr 02m |
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Finite Difference Methods: Equilibrium Problems |
Engineering Maths |
1hr 05m |
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Finite Difference Methods: Stability and Convergence |
Engineering Maths |
1hr 07m |
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Optimization and Minimum Principles: Euler Equation |
Engineering Maths |
1hr 08m |
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Finite Element Method: Equilibrium Equations |
Engineering Maths |
1hr 01m |
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Spectral Method: Dynamic Equations |
Engineering Maths |
1hr 09m |
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Fourier Expansions and Convolution |
Engineering Maths |
1hr 02m |
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Fast Fourier Transform and Circulant Matrices |
Engineering Maths |
1hr 15m |
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Discrete Filters: Lowpass and Highpass |
Engineering Maths |
1hr 00m |
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Filters in the Time and Frequency Domain |
Engineering Maths |
1hr 21m |
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Filter Banks and Perfect Reconstruction |
Engineering Maths |
55m 19s |
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Multiresolution, Wavelet Transform and Scaling Function |
Engineering Maths |
1hr 15m |
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Splines and Orthogonal Wavelets: Daubechies Construction |
Engineering Maths |
1hr 04s |
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Applications in Signal and Image Processing: Compression |
Engineering Maths |
1hr 14m |
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Network Flows and Combinatorics: max flow = min cut |
Engineering Maths |
1hr 16m |
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Simplex Method in Linear Programming |
Engineering Maths |
1hr 05m |
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Nonlinear Optimization: Algorithms and Theory |
Engineering Maths |
50m 13s |
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