DotNumerics Samples.

Linear Algebra.

• System of Linear Equations.
  In this example the LinearEquations class is used to solve a system of linear equations.
   

Optimization.

• Simplex Method. The banana function.
  In this example the Simplex class is used to solve the banana function problem.
   

Differential Equations.

• Explicit Runge Kutta method.
  The OdeExplicitRungeKutta45 class is used to solve the Euler equations of a rigid body without external forces.
   
• Implicit Runge Kutta method.
  In this example the OdeImplicitRungeKutta5 class is used to solve the ODEs for a kinetic model.
   
• Adams Moulton metod.
  The OdeAdamsMoulton class is used to solve the van der Pol equation.
   
• Gear’s BDF method.
  In this example the OdeGearsBDF class is used to solve the van der Pol equation.