Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Chief operating officer: Dr.ssa Franca Di Censo
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• Colazione in laboratorio: il Rettore incontra il QFinLab

• Polimi Fintech Journey

• Corso di Studi in Ingegneria Matematica, nuovo progetto di doppia laurea con EPFL
Double degree Master Program between Politecnico di Milano and EPFL

### Upcoming Events

•  nov 28 tue 2017 Seminar Cecilia Prosdocimi, Optimal portfolio choice with delayed dynamics,  11-28-2017, 14:00

• Seminar
• Cecilia Prosdocimi
• Optimal portfolio choice with delayed dynamics
• Tuesday, 28 November 2017 at 14:00
• Aula Seminari del Terzo Piano
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  nov 29 wed 2017 Seminar Marco Beghi, Motori a reazione e razzi – la propulsione nell’atmosfera e fuori di essa,  11-29-2017, 15:00

• Seminar
• Marco Beghi
• Politecnico di Milano
• Motori a reazione e razzi – la propulsione nell’atmosfera e fuori di essa
• Wednesday, 29 November 2017 at 15:00
• Sala Consiglio VII piano, Dip. di Matematica
• Abstract
In un fluido, in assenza di un appoggio solido, la propulsione si ottiene accelerando del fluido in direzione opposta. Questo è quanto fanno le eliche, sia navali sia aeronautiche, che accelerano il fluido nel quale sono immerse. Anche i motori a reazione eiettano soprattutto aria dell’atmosfera. Per i viaggi spaziali, il movimento nel vuoto non subisce resistenze, ma richiede l’utilizzo dei razzi, che devono avere a bordo tutto il fluido che eietteranno. Questo pone dei requisiti molto stringenti alla realizzabilità dei voli, requisiti che vengono analizzati in qualche dettaglio, e che fanno sì che per l’accesso ai pianeti esterni venga utilizzato anche un altro meccanismo, la cosiddetta ‘fionda gravitazionale’.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  nov 30 thu 2017 MOX Seminar Series Alberto Guardone, Numerical simulations of non-ideal compressible-fluid flows,  11-30-2017, 14:00

• MOX Seminar Series
• Alberto Guardone
• Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano
• Numerical simulations of non-ideal compressible-fluid flows
• Thursday, 30 November 2017 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
In the close proximity of the liquid-vapour saturation curve and critical point, well-known thermodynamic phenomena including large compressibility and critical point effects results in very unusual fluid dynamics features, including non-ideal or rarefaction shock waves, mixed and split waves. This unconventional behaviour, which cannot occur in the ideal flow of dilute gases, is referred to as Non-Ideal Compressible-Fluid Dynamics or NICFD. The focus of this short lecture is to review the theoretical background of NICFD and to discuss the impact of highly non-ideal conditions on the design and properties of numerical schemes for compressible flows. Exemplary flow fields will be presented and compared to available experimental data from the Test-Rig for Organic VApours (TROVA) of Politecnico di Milano, a unique facility in which supersonic flows in non-ideal conditions can be measured and observed. The present results are obtained within the framework of the ERC Consolidator Grant NSHOCK, of which the presenter is the PI.

contact:nicola.parolini@polimi.it
• Prof. Alberto Guardone’s research interests include the theoretical, numerical and experimental investigation of non-ideal compressible-fluid dynamics (NICFD). In particular, he is interested in the observation of so-called non-classical gas dynamics wave-fields in the vapour phase of complex organic compounds and in the near-critical region of pure, common substances. He is the coordinator of the Laboratory of Compressible-fluid dynamics for Renewable Energy Applications (CREA, crealab.polimi.it). He is the recipient of a ERC Consolidator Grant 2013, aimed at performing unique measurements of NCIFD flows in the Test-Rig for Organic Vapours (TROVA) facility in Milano. He is contributing as co-PI to two Marie Sk?odowska-Curie networks, the Joint European Doctorate NITROS (nitros-edj.eu) and the Training Network UTOPIAE (utopia.eu), in the field of in-flight icing prediction.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  dec 05 tue 2017 MOX Seminar Veronika Rímalová, Testing for a significance in spatial regression with functional response,  12-05-2017, 14:30

• MOX Seminar
• Veronika Rímalová
• Palacký University Olomouc, Czech Republic – Department of Mathematical Analysis and Applications
• Testing for a significance in spatial regression with functional response
• Tuesday, 5 December 2017 at 14:30
• Aula Saleri VI Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
In this talk we present a problem consisting of modelling and testing for spatial functional data in the context of regression analysis. The motivating data set includes monthly measurements of 5 chemical elements taken from 5 different sites near Brno, Czech Republic. Sampling locations were selected with the purpose of testing if the sites can be divided in two parts, agricultural and forest soil, according to their chemical properties. We propose to treat the measurements taken from each sampling point as functions of time distributed in space. To test for the difference according to the soil type, we develop an interval-wise testing procedure, in a geostatistical framework. We propose to perform the tests on residuals of a spatial linear model with a functional response. We apply the proposed method to the available data and discuss the results from the geological viewpoint.
(joint work with A. Menafoglio, A. Pini, E. Fišerová)

Contact: alessandra.menafoglio@polimi.it
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  dec 05 tue 2017 Seminar Alberto Farina, A sharp bernstein-type theorem for entire minimal graphs,  12-05-2017, 15:15

• Seminar
• Alberto Farina
• Université de Picardie
• A sharp bernstein-type theorem for entire minimal graphs
• Tuesday, 5 December 2017 at 15:15
• Sala Consiglio 7° piano
• Abstract
We consider entire solutions $u$ to the minimal surface equation in $\R^N$, with $N\ge8,$ and we prove the following sharp result : if $N-7$ partial derivatives $\frac{\partial u }{\partial {x_j}}$ are bounded on one side (not necessarily the same), then $u$ is necessarily an affine function.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  dec 14 thu 2017 MOX Seminar Series Martin Gander, Five decades of time parallel time integration: best current methods for parabolic and hyperbolic problems,  12-14-2017, 14:00

• MOX Seminar Series
• Martin Gander
• Section de Mathématiques, Université de Geneve
• Five decades of time parallel time integration: best current methods for parabolic and hyperbolic problems
• Thursday, 14 December 2017 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Time parallel time integration methods have received renewed interest over the last decade because of the advent of massively parallel computers, due to the clock speed limit reached on today’s processors. When solving time dependent partial differential equations, the time direction is usually not used for parallelization. But when parallelization in space saturates, the time direction offers itself as a further direction for parallelization. The time direction is however special, and for evolution problems there is a causality principle: the solution later in time is determined by the solution earlier in time, so the flow of information is just into the direction forward in time. Algorithms trying to use the time direction for parallelization must therefore be special, and take this very different property of the time dimension into account.

I will show in this talk how time parallel time integration methods were invented over the past five decades, and give a classification into four different groups: methods based on multiple shooting,
space-time multigrid methods, methods based on domain decomposition and waveform relaxation, and direct time parallel methods. The performance of these methods depends on the nature of the underlying evolution problem, and it turns out that for the first two classes of methods, time parallelization is only really possible for parabolic problems, while the last two classes can also be used to parallelize
hyperbolic problems in time. I will also explain in more detail one of the methods from each class: the parareal algorithm and a space-time multigrid method, which are currently among the most promising methods for parabolic problems, and a Schwarz waveform relaxation method related to tent-pitching and a direct time parallel method based on diagonalization of the time stepping matrix, which are very effective for hyperbolic problems.

Contact: marco.verani@polimi.it
• Martin J. Gander obtained his undergraduate degree from ETH Zürich in 1993, and his PhD from Stanford University in 1997. He then spent two years as a postdoctoral fellow at Ecole Polytechnique in Paris, before becoming professor of Mathematics at McGill University in 1999. In 2004, he followed the call by the University of Geneva for a full professorship in Mathematics. His main interests are numerical analysis, in particular parallel iterative methods for space-time problems.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  dec 19 tue 2017 Seminar Serena Dipierro, Long-range phase transitions and minimal surfaces,  12-19-2017, 15:15

• Seminar
• Serena Dipierro
• Università degli Studi di Milano
• Long-range phase transitions and minimal surfaces
• Tuesday, 19 December 2017 at 15:15
• Aula seminari 3° piano
• Abstract
We discuss some recent results on nonlocal minimal surfaces and discuss their connections with nonlocal phase transitions. In particular, we will consider the “genuinely nonlocal regime” in which the diffusion operator is of order less than 1 and present some rigidity and symmetry results.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  jan 18 thu 2018 MOX Seminar Series Gabriele Dubini, Combining in vitro and in silico approaches towards patient-specific cardiovascular investigations,  01-18-2018, 14:00

• MOX Seminar Series
• Gabriele Dubini
• Department of Chemistry, Materials and Chemical Engineering G. Natta, Politecnico di Milano
• Combining in vitro and in silico approaches towards patient-specific cardiovascular investigations
• Thursday, 18 January 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
This seminar will outline the workflow developed at the Laboratory of Biological Structure Mechanics – LaBS, Politecnico di Milano. (www.labsmech.polimi.it) for the investigation of cardiovascular devices. The combined in vitro and in silico approach will be applied to the study of stenting procedures of peripheral arteries in idealized and patient-specific models as well as to the study of percutaneous aortic valves, where fluid-structure interaction simulations are required. Such examples will demonstrate the extent to which performances of minimally-invasive devices are related to their design, the materials and the applied loads.

contact: christian.vergara@polimi.it
• G. Dubini is Full Professor at the Department of Chemistry, Materials and Chemical Engineering G. Natta, Politecnico di Milano. He was the Director of the Laboratory of Biological Structure Mechanics (LaBS) at Politecnico di Milano in 2003-2007. From 2008 to 2012 he was member of the Council of the European Society of Biomechanics (ESB), and the Secretary General from 2010 to 2012. His main research interests are the virtual planning of paediatric cardiac surgery procedures and minimally invasive vascular procedures, the design and characterisation of endovascular and microfluidic devices for biomedical applications
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  jan 31 wed 2018 Seminar Christian Vergara, La matematica computazionale applicata alla medicina: risposte quantitative a diversi problemi clinici,  01-31-2018, 15:00

• Seminar
• Christian Vergara
• Politecnico di Milano
• La matematica computazionale applicata alla medicina: risposte quantitative a diversi problemi clinici
• Wednesday, 31 January 2018 at 15:00
• Sala Consiglio VII piano, Dip. di Matematica
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  feb 08 thu 2018 MOX Seminar Series Otmar Scherzer, Regularization theory and applications to photoacoustic imaging,  02-08-2018, 14:00

• MOX Seminar Series
• Otmar Scherzer
• University of Vienna and Radon Institute of Computational and Applied Mathematics (Linz), Austria
• Regularization theory and applications to photoacoustic imaging
• Thursday, 8 February 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
In this talk we review recent results on regularization theory of variational regularization methods, such as Tikhonov regularization, which consists in finding the optimizer of a least functional which is perturbed by a convex functional. In particular we are reviewing new convergence rates results for solving Inverse Problemsin Hilbert Spaces.
Particular emphasize will be given to analyze and interpret the abstract results for photoacoustic imaging and inversion of the spherical mean operator.

Contact: elena.beretta@polimi.it
• Otmar Scherzer received his PhD and Habilitation from the University of Linz (Austria) in 1990, 1995, respectively. He was a postdoc researcher at Texas A&M University and the University of Delaware. He held professorships at the Ludwig Maximilian University Munich, University of Bayreuth, University of Innsbruck before he became professor at the University of Vienna, where he is now the head of the Computational Science Center. In addition he is research group leader of the “Imaging and Inverse Problems Group’’ of the Radon Institute of Computational and Applied Mathematics (RICAM) in Linz, which is an institute of the Austrian Academy of Sciences. Otmar Scherzer is an expert in regularization theory and mathematical imaging. He has about 200 publications in leading journals in these fields and is editor of about 10 journals and book series, including SIAM J. imaging Sciences. Moreover, he published two monographs, and edited several books, including the Handbook of Mathematical Imaging in three volumes. In 1991 he received the Theodor Körner Prize, the Prize of the Austrian Mathematical Society, the science prize of Tyrol, and in 1999 the START-prize of the Austrian Science Foundation, which is the highest award for young Austrian scientists in Austria. From 2010 to 2017 he has been Vice-president of the Inverse Problems International Association IPIA.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  feb 15 thu 2018 MOX Seminar Series D. Nordsletten, Understanding heart tissue through waves,  02-15-2018, 14:00

• MOX Seminar Series
• D. Nordsletten
• Biomedical Engineering Department, King’s College, London
• Understanding heart tissue through waves
• Thursday, 15 February 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Personalised models of cardiac mechanics have evolved into a powerful tool for studying the human heart in health and disease. Combining detailed information on the heart kinematics extracted from medical images, with mathematical models of cardiac function, patient-specific models provide a mathematical representation of individual hearts. As model parameters are linked to intrinsic tissue properties such as stiffness and contractility, unique and accurate parameter estimates are a prerequisite for the potential translation of personalised models to the clinic.

In parallel, magnetic resonance elastography (MRE) has evolved into a powerful tool for interrogating material stiffness. MRE has been exploited in the liver, breast, and brain using measured periodic waves to extract material stiffness properties. Transducing waves via external vibrations, MRE provides a more direct measure of the characteristics of tissues and their potential diseases. Integrating this work into the heart is complicated by a myriad of challenges including the inherent cardiac motion of the heart, evolving material properties due to the contractile state of the muscle, and the nonlinear effects of deformation on the apparent stiffness of the material.

In this talk, we discuss the merger of these two worlds, bridging between the nearly quasi-static model-based assessment of heart function and the high frequency wave-based assessment. In particular, we discuss the simple influence of deformation on apparent stiffness, explaining both from the realm of traditional wave mechanics and biomechanical theory.

Contact: christian.vergara@polimi.it
• David Nordsletten is a Senior Lecturer at King’s College London in the Division of Biomedical Engineering and Imaging Sciences. He graduated with a DPhil in Computer Science and Biomedical Engineering from the University of Oxford.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  feb 22 thu 2018 MOX Seminar Series Rolf Krause, Models, simulation, uncertainty, and medicine – numerical methods in computational biomechanics and cardiology,  02-22-2018, 14:00

• MOX Seminar Series
• Rolf Krause
• Center for Computational Medicine in Cardiology, Università della Svizzera italiana,
• Models, simulation, uncertainty, and medicine – numerical methods in computational biomechanics and cardiology
• Thursday, 22 February 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
The numerical simulation of physiological and biomechanics processes allows for a better understanding of many internal mechanism of the human body. For example stresses in joints or the activation sequence of the human heart can be computed “in silico”, thus providing the possibility to develop new therapies or to assist physician in diagnosis and therapy. In order to get close to realistic medical applications, or even to a clinical setting, several difficulties have to be addressed. These contain the efficient simulation of coupled and non-linear partial differential equations, the choice of the appropriate models, and, last but not least, the personalization of the simulation by means of, e.g., parameter fitting or uncertainty quantification. In this talk, we give an overview in numerical techniques in biomechanics and cardiology, including contact problems, the electro-mechanical activation of the human heart, and fluid-structure interaction in heart valves.

Contact: christian.vergara@polimi.it
• Rolf Krause has has studied Mathematics in Berlin and did his PhD in Stuttgart and Berlin. In 2003, he became Professor for Scientific Computing at the University of Bonn and moved in 2009 to USI in Lugano as founding director of the ICS, the Institute of Computational Science of USI. He is working in the areas finite element methods, non-linear domain decomposition and multigrid methods, and parallel in time methods, with applications in geo-mechanics, cardiac and biomechanics.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568