Systems of equations

Linear systems
Nonlinear systems

Inverse Problems

Nonlinear least squares problems
Parameter identification in ODEs
First kind integral equations
Markov chains

Numerical Ordinary Differential Equations (ODEs)

Stiff and non-stiff initial value problems
Differential-algebraic equations
Boundary value problems
Optimal control
Countable systems

Numerical Partial Differential Equations (PDEs)

Linear elliptic PDEs
Nonlinear elliptic PDEs
General nonlinear PDEs
Maxwell equations
Eigenvalue problems for PDEs
Grid generation
Dynamic contact problems

Numerical Nonlinear Dynamics

Bifurcation problems
Periodic orbit computation
Molecular dynamics

Special functions evaluation

Laser physics