SOME IMPORTANT PROPERTIES OF HIGH-ORDER FINITE-DIFFERENCE SCHEMES FOR LAPLACE EQUATION
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概要
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An inherent contradiction in the finite-difference methods for the Laplace equation is demonstrated. The grid size in a practical computation must, on the one hand, be fine enough to ensure the numerical accuracy, but, on the other hand, be necessarily large to avoid an ill-conditioned difference equation system. Higher-order schemes are shown to be advantageous in terms of both the accuracy and the condition of the difference equation system.
- 長崎大学の論文
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