PhD in Mathematical Methods and Numerical Simulation in Engineering and Applied Sciences
Santiago de Compostela, Spain
DURATION
3 Years
LANGUAGES
Spanish, Galician
PACE
Full time
APPLICATION DEADLINE
Request application deadline
EARLIEST START DATE
Oct 2025
TUITION FEES
EUR 200 / per year
STUDY FORMAT
On-Campus
Introduction
At present, with the rapid evolution of engineering and applied sciences, the need to train specialists in the modeling and numerical simulation of processes that come from the industrial or business field is evident, so that, in these fields, promote from the University the transfer of knowledge and the incorporation of doctors to the R & D & i departments, with training aimed at optimizing processes, reducing costs, improving the quality of products, designing new technologies, increasing safety, reducing environmental pollution, etc.
The relevance of the lines of research on which the program focuses is evidenced in the scientific productivity of the responsible research groups, which can be assessed, for example, in terms of six-year research periods, supervised theses and publications in JCR journals. The proposed offer is adapted to the action consisting of the conformation of a specialized and competitive postgraduate offer with respect to the university, national and international environment, increasing the social prestige of postgraduate studies. The proposed offer is intended to reinforce the prestige of the research career of the groups that lead the program in the three Galician universities. The incorporation of male and female doctors to companies will be promoted in order to extend their capacity beyond teaching and research, in order to promote productive activity. Likewise, the proposal is consistent with the necessary modification of the resource management patrons, seeking to optimize their use, through internal and external collaboration formulas.
Lines of investigation
- Mathematical analysis and numerical resolution of partial derived equations (EDP) and ordinary differential equations (ODE)
- Modeling, analysis and numerical simulation of problems in applied sciences and engineering
- Modeling, analysis and numerical simulation of industrial and business problems
Gallery
Ideal Students
Without training supplements if admitted:
- Master in Mathematical Engineering offered by USC, UDC and Uvigo from the 2006-2007 academic year to the 2014-2015 academic year.
- Master in Industrial Mathematics (www.m2i.es) from USC (coordinating university), UDC, Uvigo, Universidad Carlos III de Madrid (UC3M) and Universidad Politécnica de Madrid (UPM) since the 2013-2014 academic year.
- Students with the DEA degree obtained through the “Doctoral Program in Mathematical Methods and Numerical Simulation in Engineering and Applied Sciences” program at USC, UDC and Uvigo
Other profiles:
The Academic Committee will evaluate each case individually. The possibility of requiring additional training of subjects from the Master in Industrial Mathematics offered by the USC, UDC, Uvigo, UC3M and UPM (maximum up to 15 ECTS) will be considered.
In the case of other profiles that do not complete a master's degree, an equivalence of training in research credits will be required, in a number no less than those of the master's degree that gives direct access, that is, 60 ECTS.
Students with a foreign degree that has not been approved may request admission to doctoral studies provided that a level of training equivalent to that of the official Spanish university master's degree is accredited and that it also entitles the country issuing the degree to access the studies. Ph.D. This admission will not imply, in any case, the homologation of the previous degree or recognition for purposes other than those of access to these teachings.
Admissions
Curriculum
Formation activities
- Advanced course on partial differential equations E4061A01
- Advanced finite element course E4061A02
- Advanced topics in applied mathematics I, II, III and IV E4061A03
- Parallel computing E4061A04
- Master's courses in mathematical engineering or equivalent master's degrees E4061A05
- Advanced courses external to the program and recognized by the CAPD E4061A06
- Research stays E4061A07
- Attendance and participation in conferences E4061A08
- Preparation of scientific articles E4061A09
Training complements
- Numerical Methods and Programming P4151101
- Ordinary Differential Equations/Dynamic Systems P4151102
- Partial Derivative Equations P4151103
- Numerical Methods for Partial Differential Equations P4151104
- Fluid Mechanics P4151201
- Solid Mechanics P4151202
- Electromagnetism and Optics P4151203
- Quantum Mechanics and Solid State Physics P4151204
- Acoustics P4151205
- Mathematical Models in the Environment P4151206
- Mathematical Models in Finance P4151207
- Mathematical Modeling Workshop in Science and Industry I P4151208
- Disturbance Methods P4151209
- Combustion P4151210
- Heat and Mass Transfer P4151211
- Turbulence P4151212
- Mathematical Models in Thermal Control P4151213
- Electronic Transport in Micro and Nano structures P4151214
- Modeling in Solid Mechanics P4151215
- Mathematical Modeling Workshop in Science and Industry II P4151216
- Optimization and Control P4151217
- Statistical Methods P4151218
- Variational Analysis of Partial Differential Equations P4151219
- Stability of Physical Systems P4151220
- Hydrodynamic Stability P4151221
- Inverse problems and image reconstruction P4151222
- Continuous Media Mechanics P4151223
- Professional Finance Software P4151224
- Professional Software in Fluid Mechanics P4151225
- Professional Software in Solid Mechanics P4151226
- Professional Software in Electromagnetism and Optics P4151227
- Professional Acoustics Software P4151228
- Professional Environmental Software P4151229
- Computer Aided Design P4151230
- Stochastic numerical methods P4151231
- Advanced Scientific Calculus with MATLAB P4151232
- Numerical methods seminar P4151233
- Finite Element Extension P4151234
- Expansion of finite volumes P4151235
- Boundary element methods P4151236
- Numerical methods for large systems of equations P4151237
- C++ programming P4151238
- Parallel calculation P4151239
- Computer networks and distributed computing P4151240
- Computer Architecture and Operating Systems P4151241
- Software for scientific calculation P4151242
- Thermal Fluid MEMS and Power-MEMS P4151243
Program Outcome
The proposed offer aims to reinforce the prestige of the USC's research career. The incorporation of doctors into companies will be promoted in order to extend their capacity beyond teaching and research, in order to boost productive activity.
Likewise, the proposal is consistent with the necessary modification of resource management patterns, seeking optimization of their use, through internal and external collaboration formulas.