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- W2784762834 abstract "It is well known that for gradient systems in Euclidean space or on a Riemannian manifold, the energy decreases monotonically along solutions. In this letter we derive and analyse functionally fitted energy-diminishing methods to preserve this key property of gradient systems. It is proved that the novel methods are unconditionally energy-diminishing and can achieve damping for very stiff gradient systems. We also show that the methods can be of arbitrarily high order and discuss their implementations. A numerical test is reported to illustrate the efficiency of the new methods in comparison with three existing numerical methods in the literature." @default.
- W2784762834 created "2018-02-02" @default.
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- W2784762834 date "2018-01-25" @default.
- W2784762834 modified "2023-09-23" @default.
- W2784762834 title "Arbitrary-order functionally fitted energy-diminishing methods for gradient systems" @default.
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- W2784762834 doi "https://doi.org/10.48550/arxiv.1801.08484" @default.
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