Stage 1

Diffusion processes: physical processes and classification

Term: December 10, 2005

Objectives:

• Modelling and qualitative study of diffusive models.
  • Classification of diffusion types and physical models
• Comparative analysis of the discrete and continuous diffusion processes. Kinetic models

Partners: ISMMA, UPB, UPIT

Results:

Research reports: 4 Preprints, Tehnical reports: 4 Scientific communications: 5

Stage 2

Mathematical modelling and qualitative studies of diffusion modells

Term: June 30, 2006

Objectives:

• Modelling and qualitative study of diffusive models.
  • Classification of diffusion types and physical models
  • Mathematical modelling and qualitative study of the envisaged diffusive models.
• Comparative analysis of the discrete and continuous diffusion processes.
  • Spatially discrete form of continuous diffusion equation.
  
  Partners: ISMMA, UPB, UPIT

Results:

Research reports: 4 Preprints, Tehnical reports: 5 Scientific communications: 6

Stage 3

Qualitative Study and numerical approximation of diffusion equation

Term: December 10, 2006

Objectives:

• Modelling and qualitative study of diffusive models.
  • Mathematical modelling and qualitative study of the envisaged diffusive models.
• Numerical techniques, algorithms, numerical simulation and validation.
  • Discrete approximation of nonlinear diffusion equation.
  • Numerical methods to solve algebraic equations.
  • Theoretical and numerical validation.
• Comparative analysis of the discrete and continuous diffusion processes.
  • Spatially discrete form of continuous diffusion equation.

Partners: ISMMA, UPB, UOVI, UPIT

Results:

Research reports: 5 Chapters in the books: 2 Articles: 6 Preprints, Tehnical reports: 6 Scientific communications: 23

Stage 4

Numerical algorithms

Term: August 10, 2007

Objectives:

• Numerical techniques, algorithms, numerical simulation and validation.
  • Numerical methods to solve algebraic equations.
  • Theoretical and numerical validation.

Partners: ISMMA, UPB, UOVI

Results:

Research reports: 2 Articles: 6 Preprints, Tehnical reports: 6 Scientific communications: 7

Stage 5

Validation of numerical schemes

Term: December 10, 2007

Objectives:

• Numerical techniques, algorithms, numerical simulation and validation.
  • Numerical methods to solve algebraic equations.
  • Theoretical and numerical validation.

Partners: ISMMA, UPB, UOVI

Results:

Books: 1 Chapters in the books: 1 Articles: 7 Preprints, Tehnical reports: 3 Scientific communications: 14