First-order problems

This section includes direct integration methods for linear dynamic equations of the form:

\[ Mx'(t) + Kx(t) = F(t)\]

In the context of heat transfer problems, $M$ is the capacity matrix, $K$ is the conductivity matrix, $F(t)$ is the heat supply vector, $x(t)$ is the temperature vector, and $x'(t)$ is the time derivative of $x(t)$.

The following algorithms are available:

• Backward (implicit) Euler

Backward Euler

struct BackwardEuler{N} <: StructuralDynamicsODESolvers.AbstractSolver