Curriculum vitae et studiorum Angelamaria Cardone

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1 Cardone Angelamaria, Dipartimento di Matematica e Informatica Università degli Studi di Salerno Via Ponte don Melillo I Fisciano (SA), Italy tel: fax: Contents Curriculum vitae et studiorum Angelamaria Cardone 1 Education Present position Research Grant Collaborations Research activity Publications Seminars Communications Organization of Conferences, workshops, Referee Research projects Teaching

2 CV di Angelamaria Cardone 1 Angelamaria Cardone is born in Benevento in Education Mathematics Degree, cum laude, at University of Naples Federico II. Title of thesis: Metodi Waveform Relaxation precondizionati per sistemi di equazioni differenziali ordinarie, (Waveform Relaxation methods for systems of ordinary differential equations), advisor Prof. Elvira Russo PhD in Scienze Computazionali ed Informatiche (Computer Science and Applied Mathematics), at University of Naples Federico II. Title of Thesis Risoluzione numerica di sistemi di equazioni integrali di Volterra a grandi dimensioni (Numerical Treatment of large systems of Volterra integral equations) Master in education for secondary schools, at SICSI, University of Naples Federico II, for mathematics and physics. 2 Present position Researcher in Numerical Analysis, at Scienze faculty of University of Salerno, from October 1st, She works at the Department of Mathematics and Computer Science. 3 Research Grant 1. November October 2004: Research Grant for the PhD frequency, by University of Naples Federico II. 2. February 2001-October 2001: Research Grant in Analisi Numerica (Numerical Analysis), Department of Mathematics and Computer Science of University of Salerno. Advisor Prof. Maria Rosaria Crisci. 3. July June 2008: Research Grant in Analisi numerica: metodi e algoritmi per la risoluzione numerica di equazioni integrali di Volterra (Numerical Analysis: methods and algorithms for the numerical solution of Volterra Integral Equations) at the Department of Mathematics and Applications R. Caccioppoli, University of Naples Federico II, advisor Prof. Elvira Russo. 4 Collaborations 1. October 2005: Sviluppo di software per la risoluzione di problemi retti da equazioni integrali di Volterra (Development of software for problems modeled by Volterra Integral Equations), Department of Mathematics and Applications R. Caccioppoli, University of Naples Federico II ;

3 CV di Angelamaria Cardone 2 2. April-May 2006, Frebruary-April 2007, September 2008: Allestimento e aggiornamento sito web del Progetto Lauree Scientifiche-Matematica per l Unità Operativa presso l Università degli Studi di Napoli Federico II (webmaster of internet site for the project Scientific Degrees-MAthemtics- for University of Naples Federico II ). 5 Research activity Research activity of dr. Cardone has been focused on the construction and analysis of efficient and accurate (parallel) methods for the numerical solution of Volterra Integral Equations (VIEs), and on the development of the required software. Systems of VIEs model a large number of biological problems, such as dynamics of populations and the spread of epidemics and, in general, all evolution problems with memory. The computational cost of the numerical solution of VIEs may be very high, due to the evaluation of the numerical lag-term, i.e. the term which collect all the past history of the phenomenon. The cost may notably increase when the dimension of the system is large. The main topics concern the numerical solution of the following problems: large systems of Volterra integral equations of Abel type; Volterra-Fredholm integral equations on bounded and unbounded spatial domains; Double-delay Volterra Integral Equations; Volterra Integral Equations with periodic solution; Volterra Integro-differential equations; Asymptotically periodic Discrete Volterra equations. Most recently, part of the research has been devoted to Explicit General Linear Methods with Quadratic Stability for the numerical solution od Ordinary Differential Equations, in collaboration with Prof. Zdzislaw Jackiewicz, from Arizona State University, Tempe, Arizona (USA). 6 Publications 1. A. Cardone, E. Messina, E. Russo, A fast iterative method for discretized Volterra-Fredholm integral equations, J. Comput. Appl. Math. 189 (2006), no. 1-2, pp G. Capobianco, A. Cardone, A parallel algorithm for large systems of Volterra integral equations of Abel type, J. Comput. Appl. Math. 220 (2008), pp , doi: /j.cam

4 CV di Angelamaria Cardone 3 3. A. Cardone, E. Messina, A. Vecchio, On the numerical solution of a special class of Volterra-Fredholm integral equations, technical Report 323/06, Consiglio Nazionale delle Ricerche, Istituto per le Applicazioni del Calcolo Mauro Picone, Naples. 4. A. Cardone, E. Messina, A. Vecchio, An adaptive method for Volterra-Fredholm integral equations on the half line, J. Comput. Appl. Math. 228 (2009), no. 2, pp A. Cardone, I. Del Prete, C. Nitsch, Gaussian Direct Quadrature methods for double delay Volterra integral equations, Electron. Trans. Numer. Anal. 35 (2009), pp A. Cardone, D. Conte, B. Paternoster, A family of Multistep Collocation Methods for Volterra Integro-Differential Equations, in: AIP Conference Proceedings, Numerical Analysis and Applied Mathematics, T.E.Simos, G. Psihoyios, Ch. Tsitouras (Eds.), vol (1), pp , Springer (2009). 7. A. Cardone, L.Gr. Ixaru, B. Paternoster, Exponential fitting Direct Quadrature methods for Volterra integral equations, Numerical Algorithms, 55, no. 4 (2010), p.467 and following, doi: /s A. Cardone, M. Ferro, L. Gr. Ixaru, B. Paternoster, A Family of Exponential Fitting Direct Quadrature Methods for Volterra Integral Equations, in: AIP Conference Proceedings, ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010, Eds: T.E. Simos, G. Psihoyios, Ch. Tsitouras, 1281 pp A. Cardone, D. Conte, Multistep collocation methods for Volterra Integro- Differential Equations, (submitted) 10. A. Cardone, I. Del Prete, H. Brunner, Asymptotic periodicity of nonlinear discrete Volterra equations and applications, (submitted). 11. A. Cardone, Z. Jackiewicz, Explicit Nordsieck methods with inherent quadratic stability, (in preparation). 7 Seminars 1. Un algoritmo parallelo basato su un metodo Waveform Relaxation non stazionario per sistemi di Equazioni integrali di Volterra a nucleo debolmente singolare, September 17, 2003, Dipartimento di Matematica e Applicazioni R. Caccioppoli University of Neaples Federico II. 2. Metodi di Quadratura Diretta per Equazioni Integrali di Volterra con soluzione periodica, July 10, 2009, Dipartimento di Matematica e Applicazioni R. Caccioppoli dell Università degli Studi di Napoli Federico II.

5 CV di Angelamaria Cardone 4 8 Communications 1. Un metodo efficiente per la risoluzione di equazioni di Volterra-Fredholm (An efficient method for VolterraFredholm integral equations), for the National Congress GNCS2004, February 9-11, 2004, Vittoria Centro Congressi di Montecatini Terme (Pt). 2. A fast iterative method for discretized Volterra-Fredholm integral equations, for ICCAM 2004, Eleventh International Congress on Computational and Applied Mathematics, Katholieke Universiteit Leuven, Belgium, July 26-30, Trattamento numerico di fenomeni epidemiologici descritti da equazioni di Volterra (Numerical treatment of epidemic deseases modeled by Volterra Equations), workshop Integrazione di sistemi complessi in biomedicina: modelli, simulazioni, rappresentazioni, Bergamo, November 22-23, A parallel code for large systems of Abel integral equations, Conference on Numerical Analysis: THE STATE OF THE ART 2005, maggio 19-21, 2005, Rende (Cs), (Poster session). 5. An adaptive method for Volterra-Fredholm integral equations on the half line, Workshop Innovative Methods for Solving Evolutionary Problems with Memory, June 19-21, 2006, Villa Orlandi, Capri. 6. A parallel algorithm for large systems of Volterra integral equations of Abel type, ICCAM 2006, Twelfth International Congress On Computational and Applied Mathematics, Katholieke Universiteit Leuven, Belgium, July 10-14, A numerical method for double delay Volterra integral equations, SciCADE International Conference on SCIentific Computation And Differential Equations, July 9-13, 2007, Le Palais du Grand Large Saint-Malo, France, (Poster session). 8. Metodi di quadratura diretta per equazioni integrali di Volterra con doppio ritardo, (Gaussian Direct quadrature methods for double delay Volterra Integral Equations), XIII Congress of Unione Matematica Italiana, September 24-29, 2007, University of Bari. 9. A class of numerical method for Volterra integral equations with delays, 9th Congress of SIMAI, September 14-19, 2008, University La Sapienza, Rome. 10. Multistep collocation methods for Volterra Integro-Differential Equations, per il 12th Seminar NUMDIFF on Numerical Solution of Differential and Differential- Algebraic Equations, September 14-18, 2009, Martin-Luther-University Halle- Wittenberg (Germany). 11. A family of Multistep Collocation Methods for Volterra Integro-differential Equations, ICNAAM 2009, Crete, Greece, 20 September 2009.

6 CV di Angelamaria Cardone A numerical method for Volterra Integral Equations with periodic solution, workshop Equazioni Integrali: recenti sviluppi numerici e nuove applicazioni, Department of Mathematics, University of Parma (Italy), October Modified collocation-based numerical methods for Volterra Integral and Integro- Differential Equations, workshop Equazioni Integrali: recenti sviluppi numerici e nuove applicazioni, Department of Mathematics, University of Parma (Italy), October An introduction to multistep collocation methods for Volterra Integral Equations, PART I, Numerical Analysis Workshops, University of Auckland, New Zealand, organized by Prof. John Butcher, 12 November Discretized multistep collocation methods for Volterra Integro-Differential Equations, BIT50 Trends in Numerical Computing, University of Lund (Sweden), June Moreover, Dr. Cardone participated to many national and international conferences, and she has attended many courses and seminars on topics related to her research interests. 9 Organization of Conferences, workshops,... Organizer of Workshop Innovative Methods for Solving Evolutionary Problems with Memory, Villa Orlandi, Capri, June 19-21, 2006, promoted by University of Naples Federico II, University of Salerno and INdAM-GNCS. 10 Referee Referee for Journal of Computational and Applied Mathematics, International Journal of Computer Mathematics, American Institute of Physics Conference Proceedings, Numerical Algorithms, Applied Numerical Mathematics. 11 Research projects 2001 : Project Metodi numerici per problemi evolutivi (Ricerca scientifica quota ex 60%), revisor prof. M.R. Crisci, presso il Dipartimento di Matematica e Informatica dell Università degli Studi di Salerno : Project GNCS-IndAM Metodi innovativi per problemi con struttura in modelli evolutivi e stazionari, revisor prof. L. Lopez; 2004 : Project GNCS-INdAM Metodi numerici e software matematico per problemi di evoluzione, revisor prof. M. Zennaro : Project GNCS-IndAM Metodi innovativi per problemi evolutivi con memoria, revisor prof. E. Russo.

7 CV di Angelamaria Cardone : collaboration with IAC-CNR, Istituto per le Applicazioni del Calcolo Mauro Picone, Naples, for Sviluppo di metodi matematici e statistici e del relativo software orientato al grid computing in ambiente di Workflow Management per il telerilevamento e la genetica Project of University of salerno (ex 60%) : Metodi numerici e software matematico per problemi di evoluzione, project menager Prof Beatrice Paternoster; project Modelli Matematici e Informatici per il Trattamento dell Informazione e Studio di problemi fisico-matematici, project menager prof. Vincenzo Loia GNCS project Giovani ricercatori 2009 (Project Manager) GNCS project Giovani ricercatori 2010 (Project Manager). 12 Teaching 1. a.a. 2002/2003: tutorial activity of Analisi Numerica (Numerical Analysis), for the Mathematics Degree of University of Napoli Federico II. 2. a.a. 2003/2004: tutorial activity oflaboratorio di Programmazione e Calcolo (Programming and Numerical Analysis Laboratory) for the Mathematics Degree of University of Federico II. 3. a.a. 2003/2004: tutorial activity ofinformation Technology Laboratory for the Master in education for secondary schools, at SICSI, University of Naples Federico II, for mathematics and physics. 4. a.a. 2004/2005, tutorial activity of Calcolo numerico for the Computer Science degree of University of Naples Federico II. 5. a.a. 2005/2006: tutorial activity of Laboratorio di Algoritmi e Strutture Dati (Laboratory of Algorithms and Database) and of Laboratorio di Sistemi Operativi (Laboratory of Operative Systems), for the Computer Science degree of University of Naples Federico II. 6. a.a. 2005/2006: teacher of Laboratorio di Matematica Applicata ed Informatica (Applied mathematics and Computer Science Laboratory), for the Master in education for secondary school in Mathematics and Physics, for the faculty of Scienze della Formazionef Naples Suor Orsola Benincasa. 7. a.a. 2007/2008: tutorial activity of Laboratorio di Programmazione e Calcolo (Programming and Numerical Analysis Laboratory), for the Mathematics Degree of University of Naples Federico II. 8. a.a. 2007/2008: tutorial activity of Analisi Numerica (Numerical Analysis) for the Mathematics Master Degree of University of Naples Federico II. 9. a.a. 2008/2009 and 2009/2010: teacher of Analisi Numerica (Numerical Analysis) for the Mathematics master degree and Calcolo Numerico I (Numerical Analysis 1) for the Mathematics Degree; Analisi Numerica (Numerical Analysis) for Computer Science degree of University of Salerno.

8 CV di Angelamaria Cardone 7 November 8, 2009 Dr. Angelamaria Cardone

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