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This method is unconditionally stable and has second-order accuracy.
Moreover, the method is unconditionally stable, as a fully implicit method would be.
In Section 3, it is shown that the method is unconditionally stable and convergent.
Hence, the proposed fourth-order B-spline collocation method is unconditionally stable.
Lambda integration method is unconditionally stable and has the second order of accuracy.
It indicates that the solution of the implicit method is unconditionally stable.
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All the non-ADI difference methods are unconditionally stable and convergent with order two in time and order two or four in space.
The proposed methods are unconditionally stable in the sense that the time step is not limited by the space discretization and they can be viewed as "large-time-step" Godunov-type (or front tracking) methods.
Moreover, Oseen type iterative method (Iterative method III) is unconditionally stable and convergent under a uniqueness condition.
Hence the method (48a - 48b 48a - 48bdisionally stable for the differential equnconditionally
An implicit time integration scheme is a natural way to obtain a time domain method which is unconditionally stable but at the expense of the inversion of a global linear system at each time step.
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