Corrigendum to "Summation by parts operators for finite difference approximations of second derivatives" [J. Comput. Phys. 199 (2004) 503-540]
نویسندگان
چکیده
منابع مشابه
Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients
Finite difference operators approximating second derivatives with variable coefficients and satisfying a summation-by-parts rule have been derived for the second-, fourthand sixth-order case by using the symbolic mathematics software Maple. The operators are based on the same norms as the corresponding approximations of the first derivate, which makes the construction of stable approximations t...
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The comprehensive generalization of summation-by-parts of Del Rey Fernández et al. (J. Comput. Phys., 266, 2014) is extended to approximations of second derivatives with variable coefficients. This enables the construction of second-derivative operators with one or more of the following characteristics: i) non-repeating interior stencil, ii) nonuniform nodal distributions, and iii) exclusion of...
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Strictly stable high order finite difference approximations are derived for the second order wave equation with discontinuous coefficients. The discontinuity is treated by splitting the domain at the discontinuities in a multi block fashion. Each sub domain is discretized with compact second derivative summation by parts (SBP) operators and the blocks are patched together to a global domain by ...
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High order finite difference methods obeying a summation-by-parts (SBP) rule are developed for equidistant grids. With curvilinear grids, a coordinate transformation operator that does not destroy the SBP property must be used. We show that it is impossible to construct such an operator without decreasing the order of accuracy of the method.
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ورودعنوان ژورنال:
- J. Comput. Physics
دوره 351 شماره
صفحات -
تاریخ انتشار 2017