171,378 research outputs found
Cisullo C., Zummo F., Buccione R., Paternoster M. & Mongelli G. 2023. Distribution of chemical and physical parameters of the water column of Lago Piccolo, Mount Vulture hydro-mineral basin (southern Italy). Congresso congiunto SIMP-SGI-SOGEI-AIV “The Geoscience paradigm: resources, risk and future perspectives”, 19-21 Settembre 2023, Potenza.
No full textHighly Stable Multivalue Almost Collocation Methods with Structured Coefficient Matrix
No full textOur aim is to solve systems of ordinary differential equations potentially candidate to be stiff, so developed methods must have high stability properties and uniform order of convergence. We focus our attention on multivalue methods [1], which are a generalization of classical methods, such as multistep and Runge-Kutta methods, and we extend the solution smoothly by approximating them though a collocation polynomial. These methods require at each time-step the solution of a non linear system of internal stages, so the computational effort is strictly connected to the nature of this system. We are interested in the construction of methods that allow a reduction of this computational cost, so we propose methods with full matrix [6] and structured matrix (triangular [2], singly triangular [3, 4], diagonal [5]). In the case of structured matrix, we perform almost collocation since it is not possible to impose
all the collocation conditions. We compare these methods calculating the error in the final step point and the experimental order of convergence.
References
[1] J.C. Butcher, General linear methods. Computers & Mathematics with Applications. 31 (4-5): 105-112. doi:10.1016/0898-1221(95)00222-7 (1996).
[2] D. Conte, R. D'Amborsio, M.P. D'Arienzo, B. Paternoster, Highly stable multivalue collocation methods, J. Phys.: Conf. Ser. 1564, 012012 (2020).
[3] D. Conte, R. D'Ambrosio, M.P. D'Arienzo, B. Paternoster, Singly diagonally implicit multivalue collocation methods, in 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE), Madrid, Spain, DOI:10.1109/MACISE49704.2020.00018, pp. 65-68 (2020).
[4] D. Conte, R. D'Amborsio, M.P. D'Arienzo, B. Paternoster, One-point spectrum Nordsieck almost collocation methods, International Journal of Circuits, Systems and Signal Processing, vol. 14, pag. 266-275, DOI: 10.46300/9106.2020.14.38 (2020).
[5] D. Conte, R. D'Amborsio, M.P. D'Arienzo, B. Paternoster, Multivalue almost collocation methods with diagonal coecient matrix, Lecture Notes in Comput. Sci., in press.
[6] R. D'Ambrosio, B. Paternoster, Multivalue collocation methods free from order reduction,J. Comput. Appl. Math. DOI: 10.1016/j.cam.2019.112515 (2019)
North-west view of St. Joseph's Chapel, Glastonbury, Somerset
No full text'N. W. VIEW OF ST. JOSEPH'S CHAPEL, GLASTONBURY,�SOMERSETSHIRE. To ISAAC D'ISRAELI, ESQ. Author of ""Calamities of Authors,""�""Curiosities of Literature,"" & other interesting Publications, this Plate is inscribed by J: Britton. Drawn by C. Wild. for the Architectural Antiquities of Great Britain Engraved by � Wise London: Published Sep. 1, 1813, by Longman & Co. Paternoster Row. Printed by Cox & Barnett.' Above right 'PL. IV'
Book review: Religion in the Anthropocene, edited by Celia Deane-Drummond, Sigurd Bergmann and Markus Vogt. Eugen, OR.: Cascade Books, 2017. 338pp. ISBN 978-1-4982-9191-0
No full textThis is the author accepted manuscript. The final version is available from Paternoster Periodicals via the link in this recordBook review of Celia Deane-Drummond, Sigurd Bergmann and Markus Vogt (eds), Religion in the Anthropocene
Eugen, OR.: Cascade Books, 2017. 338pp. ISBN 978-1-4982-9191-0
The Market Cross, at Winchester
No full text'THE MARKET CROSS, AT WINCHESTER. To ALEXANDER BARING. ESQR. M. P. &c. &c. &c. of the Grange, Hants. this plate is inscribed by his obedt. Servt. THE AUTHOR. W. H. Bartlett del. Engraved by Roberts. Longman & Co. Paternoster Row.' Above centre 'FOR BRITTON'S PICTURESQUE ANTIQUITIES OF ENGLISH CITIES.
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