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Abstract. Ice-sheet age computations are formulated using an Eulerian advectionequation,and there are many schemes that can be used to solve them numerically.Typically, these differ innumerical characteristics such as stability, accuracy, and diffusivity.Furthermore, although various methods have been presented for ice-sheet age computations,the constrained interpolation profile method and its variants havenot been examined in this context.The present study introduces one of its variants, a rational function-basedconstrained interpolation profile (RCIP) scheme, to one-dimensional ice agecomputationand demonstrates its performance levels via comparisons with thoseobtained from first- and second-order upwind schemes.Our results show that the RCIP scheme preserves the pattern of inputsurface mass balance histories in terms of the vertical profile of internalannual layer thickness better than the other schemes.

Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models