Long description: wavestencil

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A grid diagram illustrating a stencil operation with arrows pointing from adjacent points to a central point.

Alt text: A grid diagram illustrating a stencil operation with arrows pointing from adjacent points to a central point.

This description was generated by AI and has not been verified by a human. If you spot an error, please use the feedback link below.

  • The image displays a three-row and three-column grid representing indices for a finite difference stencil.
  • The horizontal indices are labeled \(j-1\), \(j\), and \(j+1\) at the top, while the vertical indices are labeled \(n-1\), \(n\), and \(n+1\) on the right.
  • Three points within the grid are marked with solid filled circles, corresponding to the coordinates \((j-1, n)\), \((j, n-1)\), and \((j+1, n)\).
  • A fourth point, located at the intersection of row \(n-1\) and column \(j\), is marked with a hollow circle, representing the central point of the stencil.
  • Several curved arrows originate from the three marked points (at \((j-1, n)\), \((j, n-1)\), and \((j+1, n)\)) and point towards the central hollow circle at \((j, n-1)\).
  • The arrows visually suggest that values from the neighboring points are used to compute or relate to the value at the central point.

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