98 citations
- University of AveiroPT8 papers
- Instituto Superior TécnicoPT2 papers
- Grupo de Física MatemáticaPT1 paper
- Ho Chi Minh City University of Technology and EngineeringVN1 paper
- Instituto de Engenharia de Sistemas e Computadores Investigação e DesenvolvimentoPT1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Polytechnic Institute of Viana do CasteloPT1 paper
- Universidad Autónoma de MadridES1 paper
- Université Djilali de Sidi Bel AbbèsDZ1 paper
- University of AmsterdamNL1 paper
- University of ÉvoraPT1 paper
- University of MinhoPT1 paper
14 papers
MCMC for Bayesian uncertainty quantification from time-series data
Philip Maybank, Patrick Peltzer, Uwe Naumann +1
Many problems in science and engineering require uncertainty quantification that accounts for observed data. For example, in computational neuroscience, Neural Population Models (N…
The explicit formula for Gauss-Jordan elimination and error analysis
Nam Van Tran, Júlia Justino, Imme van den Berg
The explicit formula for the elements of the successive intermediate matrices of the Gauss-Jordan elimination procedure for the solution of systems of linear equations is applied t…
A velocity tracking approach for the Data Assimilation problem in blood flow simulations
Jorge Tiago, Telma Guerra, Adélia Sequeira
Several advances have been made in Data Assimilation techniques applied to blood flow modeling. Typically, idealized boundary conditions, only verified in straight parts of the ves…
A Fractional Calculus on Arbitrary Time Scales: Fractional Differentiation and Fractional Integration
Nadia Benkhettou, Artur M. C. Brito da Cruz, Delfim F. M. Torres
We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fraction…
The Diamond Integral on Time Scales
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
We define a more general type of integral on time scales. The new diamond integral is a refined version of the diamond-alpha integral introduced in 2006 by Sheng et al. A mean valu…
Symmetric Differentiation on Time Scales
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on tim…