Numerical Methods in Engineering

Polytechnic University of Catalonia

Overview

The master’s degree in Numerical Methods in Engineering at the Polytechnic University of Catalonia 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.

Professional opportunities

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.

Competencies

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

• 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.