PSCFunctions
Product Description:
PSCFunctions proposes mathematicians, programmers and engineers a new
approach to modeling functions, curves and surfaces, and provides the
additional tool to solve modern and classical problems in many branches
of knowledge such as geometric simulation, mathematical physics, mechanics,
strength of materials, theory of elasticity, programming numerical control
machine and others.
With the help of PSCFunctions users can obtain in an analytical form general
parametric equations of curves and surfaces consisting from the various
pieces or having sharp bends and boundaries. The unified formulas computed
by routines of the package allow to visualise surface of machine parts,
containers, deformed solids and fields on their surfaces and many other
compound objects.
The PSCFunctions package is an excellent tool for applied graphics and
for making visual illustrations of analytical solutions of problems from
many fields of applied mathematics and mechanics.
Using PSCFunctions routines it is possible to obtain a line of new exact
formula solutions of problems of strength of materials and some initial
boundary value problems for the wave and heat equations.
The algorithms in PSCFunctions are the results of new research by the
author. All graphics on this web page are drawn using general analytic
equations of the figures generated by routines of the package
Highlights of the new PSC Functions package include:
- New routine for generating unified equations of splines of the arbitrary
degree.
- New routine for generating unified equations of piecewise-cubic interpolating
Hermite polynomials.
- Routine converting piecewise form of a continuous function to unified
formula expression.
- Many new documented examples in the help pages. It is added also
two new example worksheets.
Intended Audience:
- Researchers, educators and students focused on analytic point
of view at geometry simulation
- Anyone who needs to make visualizations
of results of computations in the compelling graphical form
- Mathematicians
and physicists who contact with wave and heat equations
- Researchers
and engineers who work with vibrating systems
- Engineers, educators
and students using, teaching and learning strength of materials and
elasticity
- Development engineers and programmers of CAD systems
- Mechanical
and control engineers doing modeling or control algorithm development
for various systems especially of numerical control machines
- Educators
and students needing of simple solutions of problems of mathematical
physics, mechanics or inverse problems of analytical geometry
- Researchers
and educators of spline theory
- Scientists, researchers, mathematicians,
physicists, engineers and educators in a wide range of fields including
applied mathematics, geometry simulation, mathematical physics, mechanics,
product design, process engineering and many others
Features list:
- Routines for generating unified equations of:
• piecewise smooth functions and curves, both linear and nonlinear
• surfaces composed from different pieces
• polygons and polyhedrons, both solid and with portions removed
• cubic spline functions, curves and surfaces
• periodic extension of functions
• piecewise bilinear functions and surfaces
- Over 300 documented examples
in the help pages.
- Interactive worksheets for problem formulation and solving
in a wide range of fields of applied mathematics, geometric simulation,
mathematical physics and mechanics.
- All symbolic equations of composite
figures are visually examined with the help of Maple graphical procedures.
- Useful
formulas for mathematical description of drawings in CAD systems.
- Visualisation
of solutions of problems of mathematical physics, mechanics, strength
of materials, theory of elasticity, hydrodynamics and many others
without advanced Maple graphics programming.
- Possibility for receiving
exact formular solutions when they can be represented by different
formulas on various intervals.
Technical Requirements
- Maple 9, 10, 11
- Windows platforms
Author Information
- Peter G. Dolya is researcher in the field of mathematical and geometric
modeling at Kharkov National University in the Ukraine. With a Ph.D.
in applied geometry, he has many years’ experience as a programmer
of engineering systems.
Peter G. Dolya
Geometry Department of Mathematical Faculty, Kharkov National University, Kharkov,
Ukraine
E-mail: faringoval@yahoo.com
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