Abstract In this work, we develop a class of high‐order multiderivative time integration methods that is able to preserve certain functionals discretely. Important ingredients are the recently developed Hermite‐Birkhoff‐Predictor‐Corrector (HBPC) and technique relaxation for numerical ordinary differential equations (ODEs). We explain algorithm in detail show results two‐ three‐derivative metho...

Recently, the nonlinearity continuation method has been used to numerically solve boundary value problems for steady-state Richards equation. The can be considered as a predictor-corrector procedure with simplest form which applied date having trivial, zeroth-order predictor. In this article, effect of more sophisticated predictor technique is examined. Numerical experiments are performed finit...

Several methods have recently been developed to solve multiphysics transients using the Improved Quasi-Static method and its derivatives. In order address some perceived drawbacks of these methods, we a new for solving transient calculations Predictor-Corrector method. Our involves computing reactivity feedback parameters during each transport timestep in enable on small timescale used by point...