Results 11 to 20 of about 11,917,932 (151)

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

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

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.
G. K. Gupta
openaire   +3 more sources

On the equivalence of the continuous Adams–Bashforth method and Nordsieck’s technique for changing the step size

Applied Mathematics Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. S. Hoang, Roger B. Sidje
exaly   +3 more sources

Multivalue Collocation Methods for Ordinary and Fractional Differential Equations

Mathematics, 2022
The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for ...
Angelamaria Cardone, Dajana Conte, Raffaele D’Ambrosio, Beatrice Paternoster   +3 more
doaj   +1 more source

Impacts of Uncontrolled Operator Splitting Methods on Parameter Identification, Prediction Uncertainty, and Subsurface Flux Representation in Conceptual Hydrological Models

Water Resources Research, Volume 59, Issue 7, July 2023., 2023
Abstract The proper numerical representation of physical processes in mechanistic hydrological models is essential to produce robust predictions. A common problem with numerical schemes in hydrological models is that multiple concurrent fluxes are calculated sequentially.
Befekadu Taddesse Woldegiorgis, Helen Baulch, Howard Wheater, Jill Crossman, Martyn Clark, Tricia Stadnyk, Ajay Bajracharya   +6 more
wiley   +1 more source

Reassessing North Eastern Atlantic‐Mediterranean species of Trapania (Mollusca, Nudibranchia)

Zoologica Scripta, Volume 51, Issue 4, Page 447-459, July 2022., 2022
Abstract Trapania is the second largest genus belonging to the family Goniodorididae, of which most of the species are reported from Indo‐Pacific waters. To date, there are nine species of Trapania distributed along the temperate coasts of the East Atlantic Ocean and Mediterranean Sea: Trapania fusca, Trapania graeffei, Trapania hispalensis, Trapania ...
Sofía Paz‐Sedano, José Francisco Martín Álvarez, Terrence M. Gosliner, Marta Pola   +3 more
wiley   +1 more source

Phylogeny of the land snail Levantina reveals long‐distance dispersal in the Middle East

Zoologica Scripta, Volume 51, Issue 2, Page 161-172, March 2022., 2022
Abstract Populations of rock‐dwelling snails are often isolated from each other due to outcrops of suitable rock forming islands separated by uninhabitable habitats. By chance, some snail taxa were able to rapidly extend their distribution ranges or colonise distant areas.
Ondřej Korábek, Matthias Glaubrecht, Bernhard Hausdorf, Marco T. Neiber   +3 more
wiley   +1 more source

The role of Anatolia in the origin of the Caucasus biodiversity hotspot illustrated by land snails in the genus Oxychilus

Cladistics, Volume 38, Issue 1, Page 83-102, February 2022., 2022
Abstract Several taxa that are distributed in the Caucasus and/or the adjacent Pontic Mountains also have representatives in the East Mediterranean region. These disjunctions could have been caused by long‐distance dispersal or be the result of extinctions in Central Anatolia caused by the aridification of the Anatolian Plateau during the Pliocene.
Marco T. Neiber, Frank Walther, Pavel V. Kijashko, Levan Mumladze, Bernhard Hausdorf   +4 more
wiley   +1 more source

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.
Conte Dajana, D'Ambrosio Raffaele, D'arienzo Maria Pia, Paternoster Beatrice   +3 more
openaire   +2 more sources

Construction of efficient general linear methods for non-stiff differential systems

Mathematical Modelling and Analysis, 2012
This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region.
Michal Bra´s, Angelamaria Cardone
doaj   +1 more source