FortranCalculus

Enabling Technology

Automatic Differentiation

        • Symbolic Differentiation Evaluated at a Point
        • Generates
          • Gradient Vectors
          • Jacobian Matrices
          • Hessian Matrices
                    ... of Any Programmed Model

        • Enables
          • Inverse Problem Solving
          • Nonlinear Optimization
          • Optimization of Differential Equation Solutions
            • Boundary Value Problems
            • Optimal Design & Control
          • Structured Nesting of Optimization Algorithms

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Textbooks - Parameter Estimation 4 ODE/PDE - Signal Analysis / Spectral Estimation - Body Plasma - Solar Cell
Increasing Productivity Examples: AC Motor Design - Matched Filters - Pulse Slimming / InterSymbol Interference - Pilot (safe) Ejection - PharmacoKinetics Simulation - Poisson's (Differential) Equation - Schrodinger (Differential) Equation - BVP 4 PDE Equations - Implicit (Differential) Equations