This is an archival listing of my notes from 2014.

December 24, 2015 Harmonic Balance solutions to non-linear circuitsDecember 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.