Euler initial value problem solver.

• Solver a system of ordinary differential equations.
• The method is first order.

Types

• using value_type = T

Methods

• verbose() const -> bool
• verbose(bool rhs) -> void
• step() const -> T
• min_step() const -> T
• min_step(T rhs) -> void
• step(T rhs) -> void
• template <class Function, int N>
operator()(Function f, T t0, T t1, const blitz::TinyVector< T, N > & x0) -> blitz::TinyVector< T, N >

  Solve system of ordinary differential equations with right hand sides f.

  f

  right hand sides of the equations

  
  

  t0

  initial time instant

  
  

  t1

  final time instant

  
  

  x0

  initial value at $t=t_0$

  
  

  • The system of equations is written as $\dot{\vec{x}} = f\left(\vec{x}\right).$
  • The solution is computed for interval $(t_0,t_1]$.

  Date

  2020-04-14

  Return

  $\vec{x}$ at $t=t_1$

• template <class Function, int N>
solve(Function f, T t0, T t1, const blitz::TinyVector< T, N > & x0) -> blitz::TinyVector< T, N >

  Solve system of ordinary differential equations with right hand sides f.

  f

  right hand sides of the equations

  
  

  t0

  initial time instant

  
  

  t1

  final time instant

  
  

  x0

  initial value at $t=t_0$

  
  

  • The system of equations is written as $\dot{\vec{x}} = f\left(\vec{x}\right).$
  • The solution is computed for interval $(t_0,t_1]$.

  Date

  2020-04-14

  Return

  $\vec{x}$ at $t=t_1$

• ~Euler_solver()
• operator=(Euler_solver &&) -> Euler_solver &
• Euler_solver(Euler_solver &&)
• operator=(const Euler_solver &) -> Euler_solver &
• Euler_solver(const Euler_solver &)
• Euler_solver()