Unified Numerical Analysis

There's NO real substitute for hard work

• 00.Contents (this document), also in ASCII (outdated version)

  01.The Manifesto, in ASCII or HTML format (see also my <NL>boek</NL>)

• 02.Triangle Isoparametrics (replaced by something better; see also my <NL>boek<NL>)
• 03.Convex Quadrilaterals (augmented with a PDF document; see also my <NL>boek</NL>)
• 04.Five Point Star
  Related Q & A at Mathematics Stack Exchange ( MSE ) : Quadrilateral Interpolation

• 05.2-D Skew Upwind F.E.D. (deprecated)
• 06.3-D Skew Upwind F.E.D. (deprecated; see also: "zonwind")
• 07.Specializations of 3-D SUFED (deprecated)
  It has become clear, meanwhile, that this 3-D classification
  by David Paterson (CSIRO, Australia), is rather incomplete.

• 08.Discretization at Triangles (replaced by something better; see also my <NL>boek<NL>)
• 09.Discretization at Quadrilaterals (related to a PDF document; see also my <NL>boek<NL>)
• 10.Discretization at F.D. Stars
  Related Q & A at Mathematics Stack Exchange ( MSE ) : Quadrilateral Interpolation

• 11.Theorem Preliminaries (deprecated)
• 12.Theorem Proving (deprecated)
• 13.Theorem & Corollaries (deprecated; see also my <NL>boek<NL>)
  Related Q & A at Mathematics Stack Exchange ( MSE ) :
  What is the difference between Finite Difference Methods, Finite Element Methods and Finite Volume Methods for solving PDEs?

  02, 08, 11 - 13, 42, 43 replaced by a MathJax document & executable.
  How everything has been done: sources & binary ZIPped together.
  Also a visualization of the basic ideas, which meanwhile have been
  adopted by Gerard Westendorp as well

• 14.Stream Function & Flow Potential (replaced by two PDF documents)
• 15.Non-uniform 2-D convection (deprecated)

• 18.The Labrujere Problem (deprecated; see also my <NL>boek<NL>)
  Related Q & A at Mathematics Stack Exchange ( MSE ) :
  What is the difference between Finite Difference Methods, Finite Element Methods and Finite Volume Methods for solving PDEs?
  Boundary conditions for 2D navier stokes equation (incompressible, stationary)
  Any employment for the Varignon parallelogram?

  18 - 22, 24 - 30 etc. replaced by a PDF document, and its source
  Generalization: Numerical Method for 3D Ideal Flow ( errata + source )

• 19.Least Squares F.E.M. (deprecated)
• 20.Trace Weighting (deprecated)
• 21.Reduced Quadrilaterals (obsolete)
• 22.Staggered Triangles (obsolete)
• 23.Substructuring
• 24.Staggered Quadrilaterals (obsolete)
• 25.Repeatable Elements (deprecated)
• 26.Labrujere Revised (obsolete)
• 27.Reduced Quads again (obsolete)
• 28.Patched Elements (obsolete)
• 29.Linearized Quadrilaterals (deprecated)
• 30.Ideal Flow with BASIC (deprecated)
  Replaced by a Delphi version.

• 31.Theorem in Ames' book
• 32.The 1983 Colloquium at CWI (deprecated)
• 33.Streamline Upwind & FLOTRAN (deprecated)
• 34.Escape from inconsistencies (deprecated)
• 36.Non-uniform 3-D convection (deprecated) (see also: "zonwind")

• 37.Ideal Flow add-on's (deprecated)

• 38.Fluid-Tube Continuum (see also my <NL>boek<NL> and here)
• 39.Reduced quad for internal flow (deprecated: see 54.)
• 40.Numerical Heat Exchange (see also my <NL>boek<NL> and here)
  Mathematics Stack Exchange ( MSE offline) : Intermediate Heat Exchanger

• 41.1-D introduction to FEM (Finite Element Method)
• 42.Discretization for 2-D diffusion (replaced by something better)
• 43.Resistor model for 2-D diffusion (see also: "beton" and same place)

  A follow-up for three dimensions is released as a LaTeX document:
  Resistor Models for Diffusion in 3-D and as a PDF document

• 44.1-D problem condition numbers
• 45.The condition of 2-D diffusion

• 46.Linear tetrahedron with picture
  (replaced by PDF documents ; see also: "zonwind")

• 47.Isoparametric brick with picture
• 48.Seven point F.E. star with picture
  Applied as: Numerical Method for 3D Ideal Flow

• 49.3-D Theorem Preliminaries (better read PDF document)
• 50.3-D Unification Theorem (same PDF document)

• 51.Superelement Details (deprecated)
• 52.Fast 1-D FEM solving
  (I wasn't aware at that time that this would be the foreplay of
  a far more elaborate theory, called MultiGrid Calculus).

• 53.Midside quads for internal flow (deprecated)
• 54.Ideal internal Flow globally (deprecated)
  Corrected theory and practice implemented as a Delphi (Pascal) program.

• 55.Contours & Isosurfaces (replaced by HTML)

• 56.3-D Potential Flow

• 57.Efficient 2-D & 3-D Point Probes (replaced by HTML)
• 58.Marching Cubes & Group Theory

• 59.Numerical Differentiation (deprecated; replaced by another theory)

• 60.The End