A Theory for Integer Only Numerical Analysis

A draft of our Theory for Integer Only Numerical Analysis is now online. Summary:
  1. Generic notion of an anlyzable space (algebraic structure)
  2. Generic nD notion of a differentiation mask and convolution based differentiation operators.
  3. New ??? version for the famous Taylor Theorem with multiple integreal remainder
  4. Multigrid convergence of nD differential estimators of any order under various noise models
  5. Multidiemensional Generalized B-Spline families, analytical functions, and piecewise Besier surfaces
  6. Explicit expression of B-splines using piecewise Bernstein Polynomials
  7. Basic idea for linear PDE intheger only solutions
The PDF of the draft is available here