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Special issue of the “Seminari Padovani di Analisi Numerica 2018” (SPAN2018), Volume 11 · 2018 · Pages 1–2 Seminari Padovani di Analisi Numerica SPAN18 Enrico Facca a · Ángeles Martínez a · Emma Perracchione a · Federico Piazzon a Abstract The guest editors discuss the highlights of the meeting Seminari Padovani di Analisi Numerica SPAN18 and briefly introduce the papers included in this special issue. 1 Report on the seminars The workshop Seminari Padovani di Analisi Numerica SPAN18 was held on May 3–4 2018 at the Department of Mathematics “Tullio Levi-Civita” of the University of Padova. The main scope of the meeting was to bring together people working on different aspects of numerical analysis, especially young researchers who have been in the Department of Mathematics “Tullio Levi-Civita” as PhD students or collaborating in research projects. Throughout this two-day event many topics in different fields of numerical analysis have been discussed. Among them we mention: discretization of PDEs, RBF interpolation and approximation and numerical linear algebra. We had a total of 21 speakers and overall about 40 participants of which 15 from foreign countries. The complete details of the workshop are available on the website: https://events.math.unipd.it/SPAN2018/. The invited lectures were given by: • M. Farthing (US Army Corps of Engineers; United States), Application of Entropy Viscosity Methods for Shallow Water Flows, • B. Haasdonk (University of Stuttgart; Germany), Greedy Kernel-based Function Approximation by VKOGA: Analysis and Applications, • G. Rozza (SISSA, Trieste; Italy), POD-Galerkin Reduced Basis Methods for Parametric Problems in Computational Fluid Dynamics: State of the Art and Perspectives. 2 Introduction to the special issue During the workshop the speakers were invited to submit contributions for a special volume of the Dolomites Research Notes on Approximation (DRNA). After peer-revision, we are pleased to announce that the following three papers have been included in the volume: • Hopf bifurcation analysis of the fast subsystem of a polynomial phantom burster model, by I.M. Bulai and G. Pedersen. The work deals with mathematical models for the phantom bursting model. The authors analyse equilibrium points and provide numerical simulations. • Recent advancements in preconditioning techniques for large size linear systems suited for High Performance Computing, by A. Franceschini, M. Ferronato, C. Janna and V. Magri. The paper focuses on Algebraic Multigrid preconditioners and develops new algorithms to accelerate the iterative solution of symmetric linear systems. Extensive numerical experiments, devoted to compare different approaches, are also presented. • Interpolation with uncoupled separable matrix-valued kernels, by D. Wittwar, G. Santin and B. Haasdonk. This manuscript considers the problem of approximating vector-valued functions by using matrix-valued reproducing kernels. Theoretical analysis and numerical results show the benefits of the novel approach. 3 Acknowledgements For the financial and logistic support of the workshop, accomplished within Padova-Verona research group on “Constructive Approximation and Application” and Rete ITaliana di Approssimazione (RITA), we would like to thank the Department of Mathematics “Tullio Levi-Civita” of the University of Padova. We would also like to express our gratitude to the editors of the DRNA journal, who enabled the fulfillment of this volume. Special thanks are also due to the reviewers for their relevant comments. a Department of Mathematics “Tullio Levi-Civita”, University of Padova
Transcript of Seminari Padovani di Analisi Numerica...
Special issue of the “Seminari Padovani di Analisi Numerica 2018” (SPAN2018), Volume 11 · 2018 · Pages 1–2
Seminari Padovani di Analisi Numerica SPAN18
Enrico Facca a · Ángeles Martínez a · Emma Perracchione a · Federico Piazzon a
Abstract
The guest editors discuss the highlights of the meeting Seminari Padovani di Analisi Numerica SPAN18and briefly introduce the papers included in this special issue.
1 Report on the seminarsThe workshop Seminari Padovani di Analisi Numerica SPAN18 was held on May 3–4 2018 at the Department of Mathematics“Tullio Levi-Civita” of the University of Padova. The main scope of the meeting was to bring together people working on differentaspects of numerical analysis, especially young researchers who have been in the Department of Mathematics “Tullio Levi-Civita”as PhD students or collaborating in research projects.
Throughout this two-day event many topics in different fields of numerical analysis have been discussed. Among themwe mention: discretization of PDEs, RBF interpolation and approximation and numerical linear algebra. We had a total of 21speakers and overall about 40 participants of which 15 from foreign countries.
The complete details of the workshop are available on the website:
https://events.math.unipd.it/SPAN2018/.
The invited lectures were given by:
• M. Farthing (US Army Corps of Engineers; United States), Application of Entropy Viscosity Methods for Shallow Water Flows,
• B. Haasdonk (University of Stuttgart; Germany), Greedy Kernel-based Function Approximation by VKOGA: Analysis andApplications,
• G. Rozza (SISSA, Trieste; Italy), POD-Galerkin Reduced Basis Methods for Parametric Problems in Computational FluidDynamics: State of the Art and Perspectives.
2 Introduction to the special issueDuring the workshop the speakers were invited to submit contributions for a special volume of the Dolomites Research Notes onApproximation (DRNA). After peer-revision, we are pleased to announce that the following three papers have been included inthe volume:
• Hopf bifurcation analysis of the fast subsystem of a polynomial phantom burster model, by I.M. Bulai and G. Pedersen. Thework deals with mathematical models for the phantom bursting model. The authors analyse equilibrium points and providenumerical simulations.
• Recent advancements in preconditioning techniques for large size linear systems suited for High Performance Computing, by A.Franceschini, M. Ferronato, C. Janna and V. Magri. The paper focuses on Algebraic Multigrid preconditioners and developsnew algorithms to accelerate the iterative solution of symmetric linear systems. Extensive numerical experiments, devotedto compare different approaches, are also presented.
• Interpolation with uncoupled separable matrix-valued kernels, by D. Wittwar, G. Santin and B. Haasdonk. This manuscriptconsiders the problem of approximating vector-valued functions by using matrix-valued reproducing kernels. Theoreticalanalysis and numerical results show the benefits of the novel approach.
3 AcknowledgementsFor the financial and logistic support of the workshop, accomplished within Padova-Verona research group on “ConstructiveApproximation and Application” and Rete ITaliana di Approssimazione (RITA), we would like to thank the Department ofMathematics “Tullio Levi-Civita” of the University of Padova.
We would also like to express our gratitude to the editors of the DRNA journal, who enabled the fulfillment of this volume.Special thanks are also due to the reviewers for their relevant comments.
aDepartment of Mathematics “Tullio Levi-Civita”, University of Padova
Facca · Martínez · Perracchione · Piazzon 2
Seminari Padovani di Analisi NumericaSPAN2018
Dipartimento di Matematica “Tullio Levi-Civita”Universita degli studi di Padova3-4th May 2018, room 1BC45
Plenary Speakers
Matthew W. Farthing(USA Army Washington D.C.)Bernard Haasdonk(Universitat Stuttgart)Gianluigi Rozza(SISSA Trieste)
Contributed talks
Elena Bachini (Padova)Matteo Briani (Antwerp)Iulia Martina Bulai (Padova)Cristina Campi (Padova)Stefano Cipolla (Padova)Gaspare Da Fies (Aberystwyth)Monica Dessole (Padova)Giacomo Elefante (Fribourg)Enrico Facca (Padova)Andrea Franceschini (Padova)Marta Gatto (Padova)Francesco Marchetti (Padova)Angeles Martınez (Padova)Damiano Pasetto (Lausanne)Emma Perracchione (Padova)Federico Piazzon (Padova)Davide Poggiali (Padova)Gabriele Santin (Stuttgart)
Supporting institutionsDipartimento di Matematica “Tullio Levi-Civita”CAA Padova-Verona research groupRITA Rete ITaliana di Approssimazione
Organizing Committee:Enrico Facca, Angeles Martınez, Emma Perracchione, Federico Piazzoninfo: https://events.math.unipd.it/SPAN2018/
The leaflet of Seminari Padovani di Analisi Numerica SPAN18.
Dolomites Research Notes on Approximation ISSN 2035-6803
