# Research Activities

2018

1. KOZWaves 2018, 3rd Australasian Conference in Wave Science, Auckland, New Zealand, Feb 12-14, 2018

https://kozwaves.org/

Contributed talk:

"Numerical approximation of Benjamin type equations: generation and stability of solitary waves",

Vassilios Dougalis, Angel Durán and Dimitrios Mitsotakis.

2. ANODE 2018, Auckland Numerical ODEs Conference, Auckland, New Zealand, Feb 19-23, 2018

https://anode2018.wixsite.com/anode2018home

Contributed talk

"Numerical approximation to generalized Benjamin equations",

Vassilios Dougalis, Angel Durán.

3. ECMI2018, The 20th European Conference on Mathematics for Industry, Budapest, June, 18-22, 2018

http://ecmi.bolyai.hu/

Organization of Minisymposium:

MS13: Modelling, Theory and Numerical Analysis of Reaction-Diffusion Problems

Organizers: S. Barbeiro, E. Cuesta, A. Durán.

2017

1. WAVES 2017, 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation,

Minneapolis, Minnesota (USA), May 15−19, 2017

https://cceevents.umn.edu/waves-2017

Contributed talk:

"On a three parameter family of Boussinesq systems for internal waves",

Vassilios Dougalis, Angel Durán and Dimitrios Mitsotakis.

2. CEDYA + CMA 2017

XXV CONGRESO DE ECUACIONES DIFERENCIALES Y APLICACIONES / XV CONGRESO DE MATEMÁTICA APLICADA

Cartagena (Spain), June 26-30, 2017

Contributed talk:

"On a nonlocal Boussinesq system for internal wave propagation",

Angel Durán

3. SciCADE 2017

International Conference on Scientific Computation and Differential Equations 2017,

Bath (UK), September 11-15, 2017.

https://sites.google.com/site/scicade2017/

Organization of minisymposium:

MS22 - Modelling, theory and approximation of nonlinear waves

Contributed talks:

"Nonlinear cross--diffusion and image processing",

A. Araújo, S. Barbeiro, E. Cuesta, A. Durán.

"Galerkin finite element methods for the Serre system and the Camassa-Holm equation",

Vassilios Dougalis.

"Solitary wave solutions of Boussinesq systems for internal waves",

Angel Durán.

"On nonlinear and dispersive water waves in the presence of surface tension",

Dimitrios Mitsotakis.

4. Workshop: "MODELLING, THEORY AND NUMERICAL APPROXIMATION OF NONLINEAR WAVE PROBLEMS", Valladolid, October 23-24, 2017.

SPEAKERS:

1. Ricardo Barros (Loughborough University). (mimaet@gmail.com): "Large amplitude internal waves in two- and three-layer flows".

2. Vassilios Dougalis (University of Athens). (doug@math.uoa.gr): "Galerkin methods for the Serre and the Camassa-Holm equations".

3. Dimitrios Mitsotakis (Victoria University of Wellington). (dmitsot@gmail.com): "On nonlinear and dispersive water waves in the presence of surface tension".

4. Manuel G. Velarde (Instituto Pluridisciplinar, UCM, Madrid). (mgvelarde@pluri.ucm.es): "Soliton surfing transport and the nanomechanical control of electrons in anharmonic crystals".

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2016

1. ALGORITMY 2016, Conference on Scientific Computing

Vysoke Tatry, Podbanske, March 13-18, 2016

Participation in the special session: Mathematical and numerical methods for image and surface reconstructions

Org.: Karol Mikula (Slovak University of Technology, Bratislava, Slovakia) and Otmar Scherzer (University of Vienna, Austria)

2. French-Spanish Workshop on Evolution Problems - FSWEP2016

May, 16-17, 2016

Faculty of Science, University of Valladolid, Spain

http://nlnl.sitios.uva.es/?q=node/11

3. Invited visitors:

May 2016 - Rodrigo Ponce (University of Talca, Chile)

Seminar:

16 May 2016 Rodrigo Ponce (University of Talca, Chile)

"On the well behavior of degenerated fractional differential equations”

12:00 - 13:00 (Room - Faculty os Sciences)

Abstract: In this talk some results on the well behavior (some times called maximal regularity property) of the certain degenerated differential equations, also known as Sobolev type equations, in vector-valued functional settings are presented.

link: http://www.imuva.uva.es/seminarios.html

link: (abstract) http://www.imuva.uva.es/files/st_2016_05_19.pdf

4. The 19th European Conference on Mathematics for Industry ECMI2016

Santiago de Compostela on 13-17th June 2016

http://www.usc.es/congresos/ecmi2016/

Organization of minisymposium:

MS30 Nonlinear diffusion processes: cross diffusion, complex diffusion and related topics

Org.: A. Araújo, S. Barbeiro, E. Cuesta, A. Durán

Contributed talks:

"Cross-diffusion models for image processing I. Linear case",

A. Araújo, S. Barbeiro, E. Cuesta, A. Durán.

"Cross-diffusion models for image processing II. Nonlinear case",

A. Araújo, S. Barbeiro, E. Cuesta, A. Durán.

"Non–local linear filtering for advanced remote sensing applied to surface coal mining affected areas mapping",

E. Cuesta, C. Quintano, A. Fernández-Manso.

5. International Conference on Nonlinear Mathematics and Physics, NoLineal2016,

Seville, 7-10th June, 2016.

http://congreso.us.es/nolineal16/

Contributed talk:

“Computation of capillary-gravity generalized solitary waves”,

D. Clamond, D. Dutykh, A. Durán.

6. BRUNEL MAFELAP 2016

The Mathematics of Finite Elements and Applications 2016

Brunel University London, 14 - 17 June 2016.

http://people.brunel.ac.uk/~icsrsss/bicom/mafelap2016/

Contributed talk:

"Cross-diffusion systems for image processing",

A. Araújo, S. Barbeiro, E. Cuesta, A. Durán

http://people.brunel.ac.uk/~icstmkw/mafelap2016_abstracts/pdfs/Parallel.pdf

7. 4th International Conference: Nonlinear Waves-Theory and Applications,

Beijing, June 25-28, 2016.

http://icnwta4.csp.escience.cn/dct/page/1

Contributed talk:

"Traveling wave solutions of Boussinesq/Boussinesq systems for internal waves",

V. Dougalis, A. Durán, D. Mitsotakis.

http://icnwta4.csp.escience.cn/dct/attach/Y2xiOmNsYjpwZGY6MTIwMDQy

8. Organization of invited talk:

July 6 - Karol Mikula (Slovak University of Technology, Bratislava (Slovakia)

"Finite volume methods for evolving curves and surfaces”

12:00 - 13:00 (Room - Faculty os Sciences)

Abstract: We present new Lagrangian (direct) and Eulerian (level-set)

methods for evolving curves and surfaces with applications. New tangential

redistributions of points crutial for stable Lagrangian computations will be

discussed and new inflow-implicit/outflow-explicit schemes for solving

advection equations and level-set equations for curve and surface motion

in normal direction will be presented.

link: http://www.imuva.uva.es/seminarios.html

link: (abstract) http://www.imuva.uva.es/files/st_2016_07_06.pdf

9. 7th European Congress of Mathematics 7ECM,, Berlin, July 18 - 22, 2016.

Contributed talk:

"On Boussinesq systems for internal waves",

V. Dougalis, A. Durán, D. Mitsotakis.

http://www.7ecm.de/program/contributed_talks.html

10. 8th Workshop on Numerical Methods for Evolution Equations,

FORTH Heraklion - Crete, September 23-24, 2016.

Contributed talks:

"On the use of cross-diffusion systems for image restoration problems",

A. Araújo, S. Barbeiro, E. Cuesta, A. Durán.

"High order generalized Convolution Quadrature and some issues with adaptivity",

M. López-Fernández

"Rational methods without order reduction",

C. Palencia

http://nmee.iacm.forth.gr/talks.php

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2015

1. 26th Biennial Conference on Numerical Analysis, Glasgow (Scotland), June 23-26 Junio, 2015.

http://numericalanalysisconference.org.uk/

Contributed talk:

"A finite volume scheme for complex diffusion models in image processing",

E. Cuesta.

2. XXIV Congreso de Ecuaciones Diferenciales y Aplicaciones / XIV Congreso de Matemática Aplicada (XXIV CEDYA / XIV CMA),

Cádiz, June 8-12, 2015

Organization of minisymposium:

SS06: Evolution models with nonlocal terms: theory and numerical approximation.

Contributed talks:

"Linear Volterra equations. Applications in satellite image classification. (Invitada en minisimposium: Evolution models with nonlocal terms: theory and numerical approximation",

E. Cuesta.

"Time Runge-Kutta discretizations of abstract parabolic Volterra equations with bad initial data",

C. Palencia

3. Equadiff Conference 2015 (EQUADIFF 2015), Lyon (France) July 6-10 2015.

https://equadiff2015.sciencesconf.org/

Contributed talk:

"Numerical Approximation of Solitary waves in the Benjamin-Ono and the Intermediate Long Wave systems",

A. Duran and D. Mitsotakis.

4. WAVES 2015

The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation

http://waves2015.math.kit.edu/

Contributed talk:

"Numerical Approximation of Solitary waves in Some Internal Wave Systems",

A. Duran and D. Mitsotakis.

5. II Workshop on Fractional Differential Equations. 2015 Zaragoza, September 3–4, 2015.

https://iuma.unizar.es/es/activities/II-WFDE

Contributed talks:

"Sectorially stable Runge-Kutta time discretizations of homogeneous, linear, abstract parabolic Volterra equations: the numerical solution in terms of the continuous one",

C. Palencia.

"A review of fractional models in image processing",

E. Cuesta.

6. Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF-14),

September 7-11, 2015.

http://sim.mathematik.uni-halle.de/numdiff/Numdiff14/

Contributed talks:

"On the numerical solution of generalized Ostrovsky equations",

A. Durán.

7. SciCADE 2015

International Conference on Scientific Computation and Differential Equations 2015,

September 14-18, 2015.

Organization of minisymposia:

MS06 - Modelling, theory and numerical approximation of nonlinear waves

MS29 - Mathematical models and numerical methods for image processing

http://scicade2015.math.uni-potsdam.de/scicade2015/index.html

Contributed talks:

"Image processing by means of complex diffusion and FV methods",

E. Cuesta.

"Galerkin - finite element methods for the Shallow Water equations with characteristic outflow boundary conditions",

V. Dougalis.

"On Benjamin type equations for internal wave propagation. A numerical study",

A. Durán.