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- Scientific Computation.
- Applied Numerical Analysis.
- Computational Chemistry.
- Computational Material Sciences.
- Computational Physics.
- The numerical solution of the Schrödinger equation and related problems.
- The numerical solution of Partial Differential Equations of the Schrödinger type.
- The numerical solution of first and second order periodic and oscillatory initial‐value problems.
- The numerical solution of second order boundary value problems.
- The numerical solution of engineering, physical chemistry and chemical physics problems,
- Parallel algorithms and expert systems.
- Development of software packages.
- Constraint optimisation problems.