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3.4.E29

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Formula:1204
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MaRDI QIDQ1204

  • Label: 3.4.E29


Digital Library of Mathematical Functions ID 3.4.E29

∇ 2 ⁡ u 0 , 0 = 1 12 ⁢ h 2 ⁢ ( - 60 ⁢ u 0 , 0 + 16 ⁢ ( u 1 , 0 + u 0 , 1 + u - 1 , 0 + u 0 , - 1 ) - ( u 2 , 0 + u 0 , 2 + u - 2 , 0 + u 0 , - 2 ) ) + O ⁡ ( h 4 ) . superscript ∇ 2 subscript 𝑢 0 0 1 12 superscript ℎ 2 60 subscript 𝑢 0 0 16 subscript 𝑢 1 0 subscript 𝑢 0 1 subscript 𝑢 1 0 subscript 𝑢 0 1 subscript 𝑢 2 0 subscript 𝑢 0 2 subscript 𝑢 2 0 subscript 𝑢 0 2 Big-O superscript ℎ 4 {\displaystyle{\displaystyle\nabla^{2}u_{0,0}=\frac{1}{12h^{2}}\left(-60u_{0,0% }+16(u_{1,0}+u_{0,1}+u_{-1,0}+u_{0,-1})-(u_{2,0}+u_{0,2}+u_{-2,0}+u_{0,-2})% \right)+O\left(h^{4}\right).}}


Constraint(s)

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • u 𝑢 {\displaystyle{\displaystyle u}} : function
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