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___________ of the coefficient matrix is a desirable feature for boundedness.

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___________ of the coefficient matrix is a desirable feature for boundedness.

(a) Non-diagonal dominance

(b) Singularity

(c) Sparsity

(d) Diagonal dominance

This question was addressed to me in an online interview.

Query is from Discretization Aspects topic in portion Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

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Right option is (d) Diagonal dominance

The explanation is: A system is bounded if the Scarborough criterion is satisfied. This needs the coefficient matrix to be diagonally dominant. This is a desirable feature for boundedness of solutions. This depends upon the coefficients of the neighbouring nodes and the central nodes.

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