


Curve Fitting, Precision Interpolation, and Function Approximation 


– 1st and 2nd derivative methods
– Bilinear Interpolation
– Cubic and BiCubic Splines
– ejwt Precision Time Shift
– Hunting Behavior Considerations
– Multidimensional methods
– Polynomial and Parabolic Interpolation
– Regression Techniques
– Sinc Squared
– Steins Method
– Volterra Series
– Weighted Least Squares
– ZeroPad FFT/IFFT methods
– Additional related procedures 


Root Finding, Linear and Nonlinear Systems 


– Bracketing, Bisection
– Brent's Method
– Eigenvalue Decomposition
– Gaussian Elimination and Backsubstitution
– LU Decomposition
– Piecewise Linear methods
– Polynomial Roots
– Secant, NewtonRaphsen methods, Derivatives and "Root Polishing"
– Additional Root Finding methods 


Automated Graphics and Scientific Visualization 


– "Movies" to show timevarying behavior of simulated systems
– Generation of Color Reports and Presentations
– Proof of Concept visualizations
– Systemlevel design of graphic display formats
– Various 2D, 3D, and 4D (pseudocolor) methods of data portrayal
– Additional Visualization techniques





Data Modeling and Statistical Description 


– Central Limit Theorem
– ChiSquare techniques
– CramerRao accuracy limitations
– Cumulative & Gaussian Distributions
– Efficient Median Search
– Histograms
– Kalman Filtering
– Linear and Nonlinear Models
– Mean, Variance, Skewness
– Optimal Data Smoothing
– Probability Density
– Statistical and Systematic Error Analysis
– Other Data Measurement, Classification and Modeling techniques 


Minimization/Optimization of Functions 


– Global vs. Local Minima
– Gradients and Hessian Matrices
– Multidimensional NelderMeade Simplex
– Powell's Method
– Steepest Descent, Conjugate Gradient
– Additional related processes 


Computers, Errors, and Algorithms 


– Accuracy and Precision Improvement
– Quantization and Roundoff Error handling
– Random and PseudoRandom Numbers
– Managing other Hardware Idiosyncrasies 


Other Numerical Methods 


– Acceleration of Convergence
– Closed Form Solutions
– Continuous Functions
– Finite Differences in Derivative Formulas and Differential Equations.
– MonteCarlo Methods
– Numerical Integration and Differentiation
– RungeKutta methods
– Various other Numerical Methods and allied DSP methods (see previous area)


