Rainbow + ODEcalc + CurvFit Software 4 Engineers & Scientists
 Reg. $0.00

Fortran Calculus - Ordinary Differential Equations
 Reg. $1,000,000.00
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Reduce Problem-Solving Time to solution

What's after
'Math Modeling and Simulation'?

Calculus-level Problem Solving
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    Calculus level computer languages are Fortran Calculus (FC) and PROSE. Both languages are based on what is called "Automatic Differentiation" (AD). Calculus languages simplify computer coding to an absolute minimum; i.e., a mathematical model, constraints, and the objective function. Minimizing the amount of code allows the user to concentrate on the science or engineering problem at hand and not on the (numerical) process requirements to achieve an optimum solution.
    Major benefits from AD based software:
    • Determines Optimal solutions
    • Allows Rapid Model Prototyping
    • Accelerates Problem "Understanding"
    • Increases Engineering Output and Quality
    • Reduces Time & Costly Problem / Solution Cycle
    Fundamentals (R&D)
    fundamental (R&D) optimization
    Fortran Calculus was designed to solve implicit problems. Implicit problems are abundant in every branch of science and technology. Simulation programs can be elevated to (math) optimization programs by using the FIND statements. An example circuit simulation program was converted and showed a 90% reduction in development time. Simulation conversions seem to have the most to gain besides those problems that can only be solved with this tool. PDEs, ODEs, and Algebraic equations can be solved. For cost savings, optimum solutions, and increased engineering output, consider Fortran Calculus.

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Improves Scientific & Engineering Productivity

Allows Rapid Prototyping for Adaptive Engineering

        Basic, Fortran, MACSYMA, etc.  vs.   Fortran Calculus


  Engineering:     Quickly Frozen       Adaptive
  Source Code:         Large             Small
  Cost:                High              Low
  Delay:               Long              Short

Problem-Solving Application Examples include:

CurvFit: a curve fitting program with Lorentzian, Sine, Exponential and Power series are available models to match your data.

ODEcalc: an Ordinary Differential Equation Calculator! Solves BVP & IVP.

Match-n-Freq: a Matched Filter program used to filter signals and slim pulses.

Robot4: Robotic Arm Movement; determines how to get from a point to another point.

Industry Problem-Solving Descriptions include:

AC Motor Design: a simulation program for A.C. motor design that was reapplied as a constrained optimization problem with 12 unknown parameters and 7 constraints.

Body Plasma Chemistry: determine the concentration of a Therapeutic treatment drug that is in the body over a period of time.

Efficient Solar Cells: Modeling a Nanostructured Solar Cell. Problem: How to develop solar cells with a new (higher) efficiency; grätzel cells.

Pulse Slimming to minimize InterSymbol Interference: via Arbitrary Equalization with Simple LC Structures to reduce errors.

Voice Coil Motor: basically an electromagnetic transducer in which a coil placed in a magnetic pole gap experiences a force proportional to the current passing through the coil.

Heat Transfer Boundary Value Problem: Solves second order Differential Equation for temperature distribution in a tapered fin.

Electrical Filter Design: find the transfer function's poles & zeros; H(s) = Yout(s) / Yin(s).

Digitized Signal from Magnetic Recording: Magnetic recording of transitions written onto a computer disc drive may produce an isolated pulse as shown.

PharmacoKinetics: an open-two- compartment model with first order absorption into elimination from central compartment is presented here.

Rocket Feed System: illustrates solving implicit differential equations that model a liquid propellant rocket feed system in the presence of a longitudinal vibration.

 
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