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Generalized Adams methods for fractional differential equations
2012
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We introduce a new family of fractional convolution quadratures based on generalized Adams methods for the numerical solution of fractional differential equations. We discuss their accuracy and linear stability properties. The boundary loci reported show that, when used as Boundary Value Methods, these schemes overcome the classical order barrier for A-stable methods.
doi:10.1063/1.4756110
fatcat:gpdkevsuwfd6jbvrsromhqga6i