Software development

Physical processes

Technological processes

• tempering

• hardening

• laser, plasma, induction, and convection heating

• plasma dynamics

• ultrasonic machining

Engineering

• moisture distribution in buildings

• airflow in buildings

• construction computation of building structures

• process simulations for oil refineries

• supply chain simulations

Environmental processes

Water, heat, and mass transport in:

• top-soil zone, vadose zone and deeper zones in natural deposits

• rivers, lakes, bays, seas

Satellite hardening

Aerodynamic flows

Bridge strength

Profiles processing

Cylinder head design

Wheel stress distribution

Land temperature distribution

Oil ang gas pipelines

• finite element and finite difference methods

• sequential unconstrained minimization

• reduced gradient methods

• sequential quadratic programming

• interior-point methods

• algorithmic issues: search directions, line search, trust-region, merit functions, filter methods, conjugate gradients, factorization, convex set, convex functions, starting points, jamming

• Delaunay triangulations and constrained Delaunay triangulations

• optimal triangulations, such as Delaunay, min-max angle, and minimum weight triangulations

• contouring algorithms for isosurfaces

• curve and surface reconstruction from point sets

• parameterization, simplification, and editing of surface meshes

• quadrilateral, hexahedral, pyramidal, wedge, tetrahedral and mixed mesh element generations

• unstructured or multi-domain mesh generation

• refinement and coarsening of simplicial meshes

• triangular and tetrahedral mesh generation techniques: Delaunay-based, grid-based, octree-based, and advancing front

• mesh improvement: vertex smoothing and element transformations

• geometric primitives and numerical robustness

Artificial neural networks

• perceptrons

• multi-layer perceptrons

• radial basis networks

• cognitron, neocognitron

• Hopfield networks

ANN Training algorithms

• inverse propagation by gradient descent

• Levenberg–Marquardt algorithm

• the resilient propagation (RPROP)

• Broyden-Fletcher-Goldfarb-Shanno method

• conjugate gradient (CG)

Genetic algorithms

• genetic programming

• evolutionary programming

• evolution strategy

Fuzzy logic

• propositional

• predicate

• higher-order

Expert systems, hybrid intelligence systems

• hybridization algorithms

• hybrid expert systems

• hybrid neurons and neural networks

• hybrid ANN training algorithms

Analog and mixed signal applications:

• analog layout automation

• analog circuit synthesis

• mixed-mode simulation

• mixed-signal IC substrate coupling modeling and parameter extraction

• switched-capacitor simulation

• CMOS VLSI fast timing simulation

• timing analysis

Circuits and complete system design:

• routing algorithms

• algorithms to decrease timing delay in critical paths

• algorithms to estimate the maximum power in the circuit

• thermal analyze on-chip power distribution

Digital logic and programmable logic devices:

• device-to-device interfacing

• data communication

• signal processing

• data display

• timing and control operations

Digital signal processing:

• Fourier series

• Fourier transform

• Laplace transform

• Convolution

• linear processing

• analog filters

• nonlinear processing

• modulation