Padé and Post-Padé Approximations for Critical Phenomena
We discuss and apply various direct extrapolation methods for calculation of the critical points and indices from the perturbative expansions my means of Padé-techniques and their various post-Padé extensions by means of root and factor approximants. Factor approximants are applied to finding critic...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/10/1600 |
| Summary: | We discuss and apply various direct extrapolation methods for calculation of the critical points and indices from the perturbative expansions my means of Padé-techniques and their various post-Padé extensions by means of root and factor approximants. Factor approximants are applied to finding critical points. Roots are employed within the context of finding critical index. Additive self-similar approximants are discussed and <inline-formula><math display="inline"><semantics><mrow><mi>D</mi><mi>L</mi><mi>o</mi><mi>g</mi></mrow></semantics></math></inline-formula> additive recursive approximants are introduced as their generalization. They are applied to the problem of interpolation. Several examples of interpolation are considered. |
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| ISSN: | 2073-8994 |