Results 1 to 10 of about 240 (144)

Second derivative General Linear Method in Nordsieck form

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, Monday Ndidi Oziegbe Ikhile   +1 more
doaj   +10 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
doaj   +3 more sources

Nordsieck methods with inherent quadratic stability

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
doaj   +6 more sources

Implementation of explicit Nordsieck methods with inherent quadratic stability

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, Angelamaria Cardone, Raffaele D'Ambrosio   +2 more
doaj   +7 more sources

Optimization-based search for nordsieck methods of high order with quadratic stability polynomials

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, Zdzislaw Jackiewicz, Hans Mittelmann   +2 more
doaj   +8 more sources

Construction of Nordsieck Second Derivative General Linear Methods with Inherent Quadratic Stability

Mathematical Modelling and Analysis, 2017
This paper describes the construction of second derivative general linear methods in Nordsieck form with stability properties determined by quadratic stability functions. This is achieved by imposing the so–called inherent quadratic stability conditions.
Akram Movahedinejad, Gholamreza Hojjati, Ali Abdi   +2 more
doaj   +5 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, Nawrot R, Azzarone M, Pellegrini C, Gamberi F, Trincardi F, Kowalewski M.   +6 more
europepmc   +2 more sources

One-Point Spectrum Nordsieck Almost Collocation Methods

International Journal of Circuits, Systems and Signal Processing, 2020
A family of multivalue collocation methods for the numerical solution of differen- tial problems is proposed. These methods are developed in order to be suitable for the solu- tion of stiff problems, since they are highly stable and do not suffer from order reduction, as they have uniform order of convergence in the whole integration interval.
Dajana Conte, Maria Pia, D Arienzo, Beatrice Paternoster, R Adragna, R Cascaval, M D'arienzo, R Manzo, K Burrage, A Cardone, R D'ambrosio, B Paternoster, J Butcher, Z Jackiewicz, J Butcher, J Butcher, W Wright, J Butcher, R D'ambrosio, G Capobianco, D Conte, I Del Prete, G Capobianco, D Conte, B Paternoster, A Cardone, D Conte, A Cardone, D Conte, B Paternoster, A Cardone, D Conte, B Patenoster, A Cardone, R D'ambrosio, B Paternoster, A Cardone, R D'ambrosio, B Paternoster, A Cardone, R D'ambrosio, B Paternoster, R Cascaval, C D'apice, M D'arienzo, R Manzo, R Cascaval, C D'apice, M D'arienzo, V Citro, R D'ambrosio, S Giovacchino, V Citro, R D'ambrosio, D Conte, G Califano, D Conte, R D'amborsio, M D'arienzo, B Paternoster, D Conte, R D'ambrosio, B Paternoster, D Conte, R D'ambrosio, B Paternoster, D Conte, E Esposito, B Paternoster, L Gr, Ixaru, D Conte, R D'ambrosio, Z Jackiewicz, B, D Conte, R D'ambrosio, G Izzo, Z Jackiewicz, D Conte, R D'ambrosio, Z Jackiewicz, B Paternoster, D Conte, R D'ambrosio, M Moccaldi, B, D Conte, R D'ambrosio, B Paternoster, D Conte, L Gr, B Ixaru, G Paternoster, Santomauro, D Conte, Z Jackiewicz, B Paternoster, D Conte, B Paternoster   +99 more
openalex   +3 more sources

Implementing second-derivative multistep methods using the Nordsieck polynomial representation [PDF]

Mathematics of Computation, 1978
A polynomial representation for the second-derivative linear multistep methods for solving ordinary differential equations is presented. This representation leads to an implementation of the second-derivative methods using the Nordsieck polynomial representation. Possible advantages of such an implementation are then discussed.
Gopal Gupta
  +5 more sources

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, He HY, Yang L, Long JK, Chang ZM, Li Z, Gao J, Chen XS.   +7 more
europepmc   +2 more sources