--- A matrix equation is generated which requires the simultaneous solution of elevation and both horizontal velocity components in Equations (2.19), (2.2) and (2.3).
--- The matrix of the equation system has to be reformulated at every time step.
--- The matrix has to be decomposed into a lower and upper triangular matrix at every time step.
--- The two resulting triangular equation systems have to be solved using forward solution and back substitution at every time step.
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