This is an archival listing of my notes from 2014.
December 24, 2015 Harmonic Balance solutions to non-linear circuits
December 16, 2014 A sample diode RLC circuit
December 16, 2014 Matrix form for discrete time Fourier transform
December 02, 2014 Discrete Fourier Transform
December 02, 2014 Model order reduction
December 01, 2014 Observability and controllability
November 27, 2014 generatetitle{Laplace transform refresher}
November 26, 2014 Model order reduction (cont).
November 25, 2014 Time dependence
November 24, 2014 Model order reduction
November 19, 2014 Stability
November 17, 2014 Stability of discretized linear differential equations
November 17, 2014 LMS systems and stability
November 12, 2014 Nonlinear differential equations
November 10, 2014 Backward Euler method and trapazoidal methods
November 09, 2014 Newton's and finite element methods
November 02, 2014 Iterative methods
October 29, 2014 Continuation parameters and Simulation of dynamical systems
%apter{Simulation of dynamical systems}
October 27, 2014 Struts and Joints, Node branch formulation
October 24, 2014 Conjugate gradient method
October 22, 2014 Nonlinear equations
October 22, 2014 Conjugate gradient methods
October 21, 2014 Nonlinear systems
October 21, 2014 Sparse factorization and iterative methods
October 15, 2014 Illustrating the LU algorthm with pivots by example
October 14, 2014 Modified Nodal Analysis
October 09, 2014 Numerical LU example where pivoting is required
October 09, 2014 Numeric LU factorization example
October 02, 2014 Singular Value Decomposition
October 01, 2014 Matrix norm, singular decomposition, and conditioning number
September 30, 2014 Numerical error and conditioning.
September 26, 2014 Solving large systems
September 24, 2014 Nodal Analysis
September 23, 2014 Assembling system equations automatically
September 23, 2014 Analogies to circuit systems
May 17, 2014 Stokes theorem in Geometric algebra
New rewrite from scratch of Stokes theorem, properly treating curvilinear coordinates.
January 26, 2014 Gaussian integral of quadratic form
January 22, 2014 Polarization angles for normal transmission and reflection
Work Griffiths problem 9.14, showing that for normal wave incidence, the polarization of the transmission and reflection is unchanged.
January 19, 2014 Quadratic Deybe
January 19, 2014 One atom basis phonons in 2D
January 07, 2014 Two body harmonic oscillator in 3D
Figure out a general solution for two interacting harmonic oscillators, then use the result to calculate the matrix required for a 2D two atom diamond lattice with horizontal, vertical and diagonal nearest neighbour coupling.