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On the Strong Monotonicity of the Two-Time-Level CABARET Scheme

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The concept of the strong monotonicity of the two-time-level CABARET scheme is introduced. It suggests that the difference scheme does not increase the number of the generalized local extrema in… Click to show full abstract

The concept of the strong monotonicity of the two-time-level CABARET scheme is introduced. It suggests that the difference scheme does not increase the number of the generalized local extrema in the difference solution when passing from one time level to another. The special modification of the two-time-level CABARET scheme having a strong monotonicity property is proposed. The test calculations are presented that illustrate this property of the modified CABARET scheme.

Keywords: cabaret scheme; scheme; strong monotonicity; time level

Journal Title: Mathematical Models and Computer Simulations
Year Published: 2019

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