4.5 pde.solvers package

Solver classes define the strategy for evolving PDE states in time.

A solver object stores the numerical method and configuration and is used to construct an executable stepping function that advances the current state.

AdamsBashforthSolver	Explicit Adams-Bashforth multi-step solver.
AdaptiveSolverBase	Base class for solvers that can produce adaptive stepping functions.
SolverBase	Base class for persistent PDE solver strategy objects.
Controller	Class controlling a simulation.
CrankNicolsonSolver	Crank-Nicolson solver.
EulerSolver	Explicit Euler solver.
ExplicitMPISolver	Explicit Euler solver using MPI.
ImplicitSolver	Implicit (backward) Euler PDE solver.
MilsteinSolver	Milstein method for stochastic differential equations.
RungeKuttaSolver	Explicit Runge-Kutta PDE solver of order 5(4).
ScipySolver	PDE solver using scipy.integrate.solve_ivp().
registered_solvers	Returns all solvers that are currently registered.

Inheritance structure of the classes:

• 4.5.1 pde.solvers.adams_bashforth module
• 4.5.2 pde.solvers.base module
• 4.5.3 pde.solvers.controller module
• 4.5.4 pde.solvers.crank_nicolson module
• 4.5.5 pde.solvers.euler module
• 4.5.6 pde.solvers.explicit_mpi module
• 4.5.7 pde.solvers.implicit module
• 4.5.8 pde.solvers.milstein module
• 4.5.9 pde.solvers.runge_kutta module
• 4.5.10 pde.solvers.scipy module