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Numerical Methods in Engineering

Master's Degree in Numerical Methods in Engineering

Nowadays, the industrial sector requires precise and reliable numerical simulations of product and process design: the Master's Degree in Numerical Methods in Engineering meets the needs of simulating, forecasting and optimising any problem in the field of engineering through computational mechanics. Given the transversality and universality of this discipline, and in order to facilitate the internationalisation of its graduates, these studies are taught in English.

The Master's Degree in Numerical Methods in Engineering provides multidisciplinary training in computational mechanics in view of the growing demand for accurate and reliable numerical simulations. It aims to produce specialists in the theory and applications of calculation methods for product and process design, in the widest possible sense. Graduates will immediately be able to apply the knowledge acquired in industry. Their solid scientific training will also enable them to pursue a doctoral degree.

Academic year starts in Fall semester (Q1): September
Spring semester (Q2): February
Duration 2 years
Study load 120 ECTS (including the Master's Final Thesis)
Minimum academic progress The minimum academic progress for first year students is 15 ECTS.
Delivery On-campus
  • Part-time
    At least 15 ECTS (and up to 60 ETCS) enrolled on the first year, and up to 72 ECTS the rest of the years
  • Full-time
    At least 15 ECTS and up to 40 ECTS
Language English
Places 25
Official degree Master's Degree in Numerical Methods in Engineering by Universitat Politècnica de Catalunya (recorded in the Spanish Ministry of Education's degree register)

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Academic coordinator Riccardo Rossi

Specific admission requirements

In order to gain admission to the Master's Degree in Numerical Methods in Engineering applicants must have studied one of the following studies:

  • Bachelor's Degree (5-year degree) in Engineering in the following fields: mechanical, electrical, materials, civil, aeronautical, systems, mining, naval, telecommunications, physics, forest or agricultural
  • Bachelor's Degree (5-year degree) in Mathematical, Physical, Chemical, Biological or Geological Sciences
  • Diploma (3-year degree) in Engineering in the following fields: mechanical, electrical, materials, civil, aeronautical, systems, mining, naval, telecommunications, physics, forest or agricultural
  • Diploma (3-year degree) in Mathematical, Physical, Chemical, Biological or Geological Sciences
  • Other studies:

    If the diploma or degree is different from the ones listed above, the Academic Committee in charge of the master's degree will assess the applicant's curriculum in order to grant them access and establish the necessary bridging courses.

Students pending obtaining the degree that gives access to the master's degree

Students who are currently pursuing their undergraduate studies and have registered all the credits to complete their studies may apply for access to the master's degree as long as they fulfil, during the registration period of the master's degree, the requirements above-established.

Undergraduate students who have failed to complete their degree because they are awaiting the defence of their final year project will be conditionally admitted. They will be admitted definitively if they have obtained the title of degree:

  • By October 31st, students applying for admission in the 1st semester.
  • By February 28th, students applying for admission in the 2nd semester.

Admission criteria

The following factors or parameters are considered for admission to the Master's Degree in Numerical Methods in Engineering:

Students interested in enrolling in this master's degree must certify their B2.2 proficiency level in English. The Consell Interunivesitari de Catalunya establishes the official certificates for meeting the B2 requirement on gaining admission to all UPC master's degrees.

You can check the results of the evaluation and selection of the applications for the current academic year here.

Pre-enrolment and enrolment

Check here the general admission requirements for UPC masters and information on pre-enrolment: calendar, how to apply for admission, how to reserve a place if the resolution is favourable, etc.

Career opportunities

The course addresses real educational needs in Europe and worldwide. Computational mechanics is set to become even more multidisciplinary than in the past, and it is expected that in the coming decade the demand for accurate and reliable numerical simulation of engineering systems will undergo explosive growth and have a major impact on our everyday lives. Graduates of this master's degree will be experts in numerical methods in engineering. They will be professionals able to put into practice the acquired knowledge directly to industry and they will also have the necessary scientific background to undertake a doctoral degree successfully.


Generic competencies

Generic competencies are the skills that graduates acquire regardless of the specific course or field of study. The generic competencies established by the UPC are capacity for innovation and entrepreneurship, sustainability and social commitment, knowledge of a foreign language (preferably English), teamwork and proper use of information resources.

Specific skills

On completing this master's degree, students will be able to:

  • Solve problems using numerical and computational methods, having completed and consolidated their basic training in this field and reinforced their knowledge of the basic elements and specific applications.
  • Understand and master the theories and applications of numerical methods for solving engineering problems.
  • Apply, based on their experience and a critical approach, numerical methods through the use of calculation programs, graphics pre- and post-processors, programming language and scientific calculation libraries.
  • Come up with conventional solutions based on consolidated knowledge, criteria and critical thinking, and analyse results for problems that are characteristic of numerical modelling.
  • Show knowledge of and acquire critical awareness of the European Union and the international vanguard in the use of numerical methods in engineering.
  • Strengthen skills for solving real engineering problems through numerical modelling, using the identification of the underlying mathematical model, the most appropriate method of calculation and the critical interpretation of the results.
  • Independently use their knowledge and understanding of computational engineering to design solutions to new or unfamiliar problems, incorporating knowledge gained and knowing how to use the theory and practices of other disciplines, where appropriate, and designing new, original problem-solving methods that are suited to the objectives.
  • Understand the applicability and the limitations of numerical modelling and existing calculation technologies.
  • Independently and expertly look for, filter, collect and synthesise ground-breaking scientific and technical information.
  • Be familiar with advanced numerical modelling applied to various areas of engineering: civil, environmental, mechanical, aerospace, nanoengineering and bioengineering.
  • Apply the latest numerical technologies to solving basic problems (numerical linear algebra, optimisation, etc.).
  • Show knowledge of the modern physical models of materials science (advanced constitutive models) in solid and fluid mechanics.
  • Use and have knowledge of quality control techniques for numerical simulation (validation and verification).
  • Use modern numerical simulation tools competently and apply them to the typical problems of multidisciplinary engineering.
  • Understand the applicability and the limitations of the different numerical simulation techniques.
  • Use existing calculation programs and preprocessors and postprocessors and show knowledge of programming languages and standard calculation libraries.

The Master's Thesis is an original exercise to be done individually and presented and defended before a university panel consisting in a project in the sphere of the specific civil engineering technologies synthesising and integrating the competences acquired on the course.

List of master's theses currently scheduled for public presentation:

This program has been awarded the following quality labels: