The Institute for Industrial Mathematics

Yehuda Hanahtom St. 4, Beer-Sheva 84311, Israel

 

Areas of Specialization

 1. Technology

1.1.    Resistance to vibration and impact.
1.2.    Concussion and vibration in machinery.
1.3.    Strength of aircraft and vessels.
1.4.    Surface and underground pipelines.
1.5.    Dynamics of composite materials.
1.6.    Dynamics of soils and rocks.
1.7.    Dynamics of multiphase media.
1.8.    Polymer mechanics.
1.9.    Dissipation of mechanical energy.
1.10.  Structure comprehension (shape control).
1.11.  Chemical kinetics.
1.12.  Diffusion-reaction processes.
1.13.  Nondestructive control.
1.14.  Pattern recognition.
1.15.  Signal processing.
1.16.  Data compression.
1.17.  Expert systems.
1.18.  Digital communication.
 

2. Engineering

2.1.   Design for impact resistance.
2.2.   Earthquake engineering.
2.3.   Underground storage.
2.4.   Design of composite materials devices.
2.5.   Design of aircraft and vessels.
2.6.   Acoustic design.
2.7.   Impact and penetration processes.
2.8.   Vortex chambers.
2.9.   Chemical reactor control.
2.10.  Water circulation in power stations.
 

3. Optimization

3.1.   Linear programming.
3.2.   Quadratic programming.
3.3.   Non-linear programming.
3.4.   Mixed integer programming.
3.5.   Flow in networks.
3.6.   Convex programming.
3.7.   Dynamic programming.
3.8.   Quality indices and criteria.
3.9.   Multi-criteria optimization.
3.10. Games theory.
 

4. Operations research

4.1.  Queueing models.
4.2.   Inventory models.
4.3.   Reliability.
4.4.   Graph models.
4.5.   Transport problems.
4.6.   Allocation and assignment.
4.7.   Scheduling.
4.8.   Production control.
4.9.   PERT.
4.10.  System analysis.
4.11.  Mathematical economics.
4.12.  Decision-support tools.
4.13.  Decision under uncertainty.
4.14.  Simulation.
4.15.  Military operations research.
4.16.  Conflict resolution.
 

5. Probability and Statistics

5.1.   Combinatorics.
5.2.   Applied probability.
5.3.   Random variables.
5.4.   Distributions.
5.5.   Stochastic processes.
5.6.   Birth and death processes.
5.7.   Assembly processes.
5.8.   Markov chains.
5.9.   Decision Markov processes.
5.10.  Applied statistics.
5.11.  Sampling.
5.12.  Estimation.
5.13.  Hypothesis testing.
5.14.  Acceptance criteria.
5.15.  Regression.
5.16.  Periodic series.
5.17.  Prediction.
5.18.  Statistical physics.
5.19.  Information theory.
 

6. Control

6.1.   Linear control devices.
6.2.   Non-linear control.
6.3.   Optimal control.
6.4.   Variable structure systems.
6.5.   Non-continuous control.
6.6.   Navigation.
6.7.   Tracking.
6.8.   Guiding and homing.
6.9.   Pursuit and evasion.
6.10. Differential games.
6.11. Parameter revaluation.
6.12. Kalman filter.
6.13. Linear filters.
6.14. Non-linear filters.
6.15. Robotics.
 

7. Solid media

7.1.  Elasticity.
7.2.  Finite elasticity.
7.3.  Plasticity.
7.4.  Viscoelasticity.
7.5.  Polymerization.
7.6.  Phase transitions.
7.7.  Wave propagation in solids.
7.8.  Dynamics of structures.
7.9.  Shocks and explosions.
7.10. Fracture mechanics.
7.11. Penetration problems.
7.12. Stopping power.
7.13. Strength of structures.
7.14. Geophysics.
7.15. Gravimetry and magnetometry.
 

8. Liquid media

8.1.   Hydrostatics.
8.2.   Fluid mechanics.
8.3.   Gas dynamics.
8.4.   Multi-phase flows.
8.5.   Theory of bubbles and foam.
8.6.   Liquid and gas purification.
8.7.   Turbulent flow.
8.8.   Environment pollution.
8.9.   Heat and mass transfer.
8.10. Floid physics.
8.11. Waves and shocks in liquids.
8.12. Acoustics.
8.13. Chemical kinematics.
8.14. Combustion processes.
8.15. Detonation processes.
8.16. Transportation problems.
 

 9. Algorithms

9.1. Search methods.
9.2. Schedules generation.
9.3. Automatic inference, expert systems.
9.4. Mathematics of medical diagnosis.
9.5. Signal processing.
9.6. Image interpretation.
9.7. Pattern recognition.
9.8. Detection, recognition, identification.
9.9. Oil and mineral exploration.
9.10. Mathematical geology.
9.11. Switching.
 

10. Calculations

10.1. Numerical analysis.
10.2. Interpolation.
10.3. Approximation theory.
10.4. Asymptotic methods.
10.5. Dimensional analysis.
10.6. Mathematical logic.
10.7. Complexity theory.
10.8. Programming languages.
10.9. Software engineering.
10.10. Real-time programming.
10.11. Computer algebra.
10.12. Encryption.
10.13. Geometrical modeling.
10.14. Finite elements.
 

11. Mathematical methods

11.1. Ordinary differential equations.
11.2. Partial differential equations.
11.3. Functional-differential equations.
11.4. Stability.
11.5. Catastrophe theory.
11.6. Singularity  in differentiable mappings.
11.7. Functional analysis.
11.8. Matrix theory.
11.9. Combinatorics.
11.10. Numbers theory and encryption.
11.11. Field theory.
11.12. Formal languages.
11.13. Theory of automata.