Second derivative General Linear Method in Nordsieck form [PDF]
Journal of Numerical Analysis and Approximation Theory, 2019 This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to Nordsieck GLM. How the Runge-Kutta starters for the methods can be derived are given.
Robert I. Okuonghae +1 more
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Nordsieck methods with inherent quadratic stability [PDF]
Mathematical Modelling and Analysis, 2011 We derive suffcient conditions which guarantee that the stability polynomial of Nordsieck method for ordinary differential equations has only two nonzero roots. Examples of such methods up to order four are presented which are A-and L-stable.
M. Braś
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Implementation of explicit Nordsieck methods with inherent quadratic stability [PDF]
Mathematical Modelling and Analysis, 2013 The present paper deals with the implementation in a variable-step algorithm of general linear methods in Nordsieck form with inherent quadratic stability and large stability regions constructed recently by Braś and Cardone. Various implementation issues
Michel Bras +2 more
doaj +6 more sources
On quasi-consistent integration by Nordsieck methods [PDF]
Journal of Computational and Applied Mathematics, 2009 Quasi-consistent numerical integration of ordinary differential equations (ODEs) \(x'(t)=g(t,x(t))\) is available since 1976, but few use in practical applications has been done, mainly because of difficulties in the implementation such as the problem of quasi-consistent integration in a non-equidistant grid.
G Yu Kulikov
exaly +3 more sources
General Nyström methods in Nordsieck form: Error analysis
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele D'Ambrosio, Paternoster B
exaly +6 more sources
Optimization-based search for nordsieck methods of high order with quadratic stability polynomials [PDF]
Mathematical Modelling and Analysis, 2012 We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software.
Angelamaria Cardone +2 more
doaj +6 more sources
Resilient biotic response to long-term climate change in the Adriatic Sea. [PDF]
Glob Chang Biol, 2022 The latest Quaternary fossil record from sediment cores in the Adriatic coastal systems indicates that nearshore mollusk assemblages of the penultimate interglacial shifted in their faunal composition during the subsequent ice age, and then reassembled again with the return of interglacial climate in the Holocene. These shifts point to a climate‐driven
Scarponi D +6 more
europepmc +2 more sources
Some efficient Nordsieck integration methods for IVPs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, in continuation of the construction of efficient numerical methods for stiff IVPs, we construct type two Nordsieck second derivative general linear methods with order p = s, where s is the number of internal stages, and stage order q = p ...
N. Barghi Oskouie, A. Abdi, G. Hojjati
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Mitochondrial Genomes of Three Species of the Family Camaenidae (Gastropoda: Stylommatophora): Structural Features, Codon Usage Patterns, and Phylogenetic Implications. [PDF]
Ecol Evol(1) The complete mitochondrial genomes of three species within the family Camaenidae were sequenced and annotated; (2) Mitochondrial characteristics and codon usage patterns of the Camaenidae genome were compared and analyzed; (3) The phylogenetic relationship of Camaenidae was reconstructed.
Ran XM +7 more
europepmc +2 more sources
Narrowly defined taxa on a global scale: The phylogeny and taxonomy of the genera Catriona and Tenellia (Nudibranchia, Trinchesiidae) favours fine-scale taxonomic differentiation and dissolution of the "lumpers & splitters" dilemma. [PDF]
Evol Appl, 2023 Abstract By applying morphological and molecular data on two genera of the nudibranch molluscs it is shown that the tension between taxonomic practice and evolutionary processes persists. A review of the related genera Catriona and Tenellia is used to demonstrate that the fine‐scale taxonomic differentiation is an important tool in the integration of ...
Korshunova T +3 more
europepmc +2 more sources