Extended SDBDF-Type Methods Based on Linear Barycentric Rational Interpolants for ODEs
Tóm tắt
Barycentric rational finite differences (RFD), as an application of linear barycentric interpolants, have been used to develop numerical integrators for solving ordinary differential equations. The class of SDBDF-type methods based on RFD has been already introduced. In this paper, we are interested in introducing an extended version of this class of the methods using future-step point technique. This extension improves the stability and accuracy properties of the methods as verified theoretically and numerically.
Tài liệu tham khảo
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