15 years of research and transfer

BCAM is the research center on applied mathematics created with the support of the Basque Government and the University of the Basque Country.

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At BCAM, we are dedicated to fostering the professional growth of all our team members. Discover our latest job offers to engage in international research projects.

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Events

BCAM actively engages in organising and hosting scientific activities for the scientific public and the general public. The topics, cover all areas of knowledge of the centre. 

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Latest news

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About the center

BCAM will once again bring together mathematics and music from june 20 to 28 in the second edition of the "VILLA DE BILBAO" music competition

 This cultural initiative, part of the ‘2M: Mathematics and Music’ project, will take place at the "Juan Crisóstomo de Arriaga" Conservatory in Bilbao, featuring two categories: violin and piano. The closing ceremony will be held on June 28 at the Sociedad Bilbaina.  The main objective of the…

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BCAM people

BCAM’s researcher, Matteo Croci, awarded the XXVIII SeMA “Antonio Valle” Young Researcher Prize 2025

  • The SeMA "Antonio Valle" Prize is awarded annually by the Spanish Society of Applied Mathematics (SeMA) to young researchers under the age of 33 whose wor

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About the center

BCAM Scientific Seminar ‘A capacity-shared approach to improve the performance of emergency and non-emergency patient transportation fleets’

  • The seminar featured Ángel Ruiz Bartolome full professor at the Faculty of Business Administration at Laval University, Canada.

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About the center

More than 150 students from Bizkaia visit BCAM in the month of March

  • The visits are part of "Matematikhariak," BCAM's outreach activity aimed at inspiring STEM vocations among students visiting the center.

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Latest publications

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SOLUTIONS TO THE NONLINEAR OBSTACLE PROBLEM WITH COMPACT CONTACT SETS

Eberle, S.; Yu, H. (2023-01-01)

For the obstacle problem with a nonlinear operator, we character- ize the space of global solutions with compact contact sets. This is achieved by constructing a bijection onto a class of quadratic polynomials describing ...

Normalized gradient flow optimization in the training of ReLU artificial neural networks

Eberle, S.; Jentzen, A.; Riekert, A.; Weiss, G. (2022-01-01)

The training of artificial neural networks (ANNs) is nowadays a highly relevant algorithmic procedure with many applications in science and industry. Roughly speaking, ANNs can be regarded as iterated compositions between ...

COMPLETE CLASSIFICATION OF GLOBAL SOLUTIONS TO THE OBSTACLE PROBLEM

Eberle, S.; Figalli, A.; Weiss, G.S. (2022-01-01)

The characterization of global solutions to the obstacle problems in RN , or equivalently of null quadrature domains, has been studied over more than 90 years. In this paper we give a conclusive answer to this problem by p...

COMPACT CONTACT SETS OF SUB-QUADRATIC SOLUTIONS TO THE THIN OBSTACLE PROBLEM

Eberle, S.; Yu, H. (2023-01-01)

We study global solutions to the thin obstacle problem with at most quadratic growth at infinity. We show that every ellipsoid can be realized as the contact set of such a solution. On the other hand, if such a solution h...