Numerical methods and simulations - MeNS

Reference of the Group:

GIUV2026-046

 
Description of research activity:
Development of numerical methods for partial differential equations, numerical simulations, and data analysis. More specifically, the objectives of this research group focus on the development of numerical methods for solving partial differential equations that arise in geophysics and astrophysics. These methods have broad Applications and require simulations to analyze the efficiency and accuracy of the numerical results. In the case of numerical relativity, there is a particular interest not only in solving the equations but also in extracting observables from the simulated data, such as the gravitational radiation of diferent Systems. Some membres of the group are part of the Virgo Collaboration and are regularly involved in science outreach and communication activities. Furthermore, another objective of the group is to analyze the data recorded at these observatories to participate in signal cleaning and the detection of real astrophysical signals, as well as in the characterization of detector noise to mitigate its effect on the analysis of real signals. These tècniques will also be applied to data from other geophysical instruments, such as seismograph data. A wide range of...Development of numerical methods for partial differential equations, numerical simulations, and data analysis. More specifically, the objectives of this research group focus on the development of numerical methods for solving partial differential equations that arise in geophysics and astrophysics. These methods have broad Applications and require simulations to analyze the efficiency and accuracy of the numerical results. In the case of numerical relativity, there is a particular interest not only in solving the equations but also in extracting observables from the simulated data, such as the gravitational radiation of diferent Systems. Some membres of the group are part of the Virgo Collaboration and are regularly involved in science outreach and communication activities. Furthermore, another objective of the group is to analyze the data recorded at these observatories to participate in signal cleaning and the detection of real astrophysical signals, as well as in the characterization of detector noise to mitigate its effect on the analysis of real signals. These tècniques will also be applied to data from other geophysical instruments, such as seismograph data. A wide range of mathematical tools will be used to characterize the instruments signals and noise.
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Web:

https://corcai.blogs.uv.es/

 
Scientific-technical goals:
  • Data analysis from geophysics and astrophysics amb mathematical tools and data analysis algorithms to classify signals, recognize patterns and caracterize intrinsic properties.
  • Numerical methods for the resolution of elliptic and hyperbolic partial differential equations. Development of iterative methods. Development of implicit methods. Applications of well-balanced methods.
  • Study of the gravitational radiation from different astrophysical scenarios. Analysis of gravitational waves data from several observatories, including data from auxiliar channels. Outreach and scientific communication activities.
  • Simulations of geophysical and astrophysical scenarios, and study of convergence, numerical accuracy and stability properties.
 
Research lines:
  • Numerical methods for PDEs.Development of numerical methods for elliptic and hyperbolic partial differential equations.
  • Geophysics and astrophysics data analysis.Development of data analysis tecniques with applications in geophysical and astrophysical scenarios.
  • Numerical simulations.Numerical simulations of physical systems and analysis of convergence, numerical accuracy and stability.
  • Gravitational waves.Participation in the simulation, analysis and detection of gravitational waves. Outreach and scientific communication activities in this field.
 
Group members:
Name Nature of participation Entity Description
ISABEL CORDERO CARRIONDirectorUniversitat de València
Research team
JOSE ENRIQUE ADSUARA FUSTERMemberUniversitat de València
SAMUEL SANTOS PEREZMemberUniversitat de València
GUILLEM FERNANDEZ RODRIGUEZCollaboratorUniversitat de València
IZARNE MARTINEZ DONATOCollaboratorUniversitat de València
 
CNAE:
  • Higher education
 
Associated structure:
  • Mathematics
 
Keywords:
  • COMPACT OBJECTS
  • ELLIPTIC EQUATIONS
  • GRAVITATIONAL WAVES
  • PARALLELIZATION
  • NUMERICAL METHODS
  • HYPERBOLIC EQUATIONS
  • NUMERICAL EFFICIENCY AND STABILITY
  • GEOMETRIC DATA ANALYSIS TECHNIQUES
  • CONVERGENCE
  • OUTREACH AND SCIENTIFIC COMMUNICATION
  • STIFF SOURCE TERMS AND IMPLICIT METHODS
  • GEOPHYSICAL DATA ANALYSIS
  • ASTROPHYSICAL DATA ANALYSIS
  • MACHINE LEARNING TECHNIQUES