Research Group on Numerical Analysis, Images, Multiresolution and Simulation

Description

The research objectives of our group are the design and analysis of numerical methods that can make efficient use of available computational resources by adapting them to data from a numerical simulation of predominantly convective processes or from adaptive image and signal processing using multiresolution techniques.

The numerical methods for partial differential equations that we design and analyse are used in fields as diverse as gas dynamics, both compressible and incompressible, sedimentation of polydisperse suspensions, flows in porous media, dynamics of charged particles, shallow water models, etc. The ability to use approximation techniques within a multi-resolution environment has proven extremely useful in the compression of strongly gradient signals in applications such as image restoration, disparity calculations or optical flow. Techniques specifically designed to preserve other data properties, such as convexity and monotonicity, are also used, which is crucial in the data generation process in various applications.

Goals CT

Adaptive numerical methods for image processing and EDP modelling.

Research lines

Numerical methods for equations of hyperbolic type
Numerical methods for partial differential equations are designed and analysed for use in fields as diverse as gas dynamics, both compressible and incompressible, sedimentation of polydisperse suspensions, flows in porous media, charged particle dynamics, etc.
Image processing
Non-linear, data-dependent approximation techniques are used in a multi-resolution environment for the compression of strongly gradient signals in applications such as image restoration, disparity calculation or optical flow.

Management

MULET MESTRE, PEP
PDI-Catedratic/a d'Universitat

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Members

ARANDIGA LLAUDES, FRANCESC
PDI-Catedratic/a d'Universitat

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DONAT BENEITO, ROSA MARIA
PDI-Catedratic/a d'Universitat
Vicerector/A
Vicerector/a-Innovacio i Transferencia

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GUERRERO CORTINA, FRANCISCO
PDI-Prof. Permanent Laboral Ppl

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Non-UV research staff

Partners

Luis Miguel Villada Osorio - Universidad de Concepción (Chile)

Work team

Lihki José Rubio Ortega - Universidad de Concepción (Chile)

Scientific production by UV researcher

ARANDIGA LLAUDES, FRANCESC
PDI-Catedratic/a d'Universitat
ContraerExpandir
- Francesc Aràndiga; Albert Cohen; Dionisio F. Yáñez(2013)Research Group on Numerical Analysis, Images, Multiresolution and SimulationSignal Processing, 93, pp. 3474 - 3484. ISSN: 0165-1684
- Francesc Aràndiga; Dionisio F. Yáñez(2013)Research Group on Numerical Analysis, Images, Multiresolution and SimulationJournal of Computational and Applied Mathematics, 250(1), pp. 1 - 15. ISSN: 0377-0427
- Aràndiga, Francesc; Mulet, Pep; Renau, Vicente(2013)Research Group on Numerical Analysis, Images, Multiresolution and SimulationJournal of Computational and Applied Mathematics, 242, pp. 70 - 81. ISSN: 0377-0427
- Aràndiga, F.(2013)Research Group on Numerical Analysis, Images, Multiresolution and SimulationSIAM Journal on Numerical Analysis, 51(5), pp. 2613 - 2633. ISSN: 0036-1429
- F. Aràndiga ; A. Baeza; D. F. Yañez(2013)Research Group on Numerical Analysis, Images, Multiresolution and SimulationAdvances in Computational Mathematics, 39(2), pp. 289 - 309. ISSN: 1019-7168
- F. Aràndiga; M.C. Martí; P. Mulet(2014)Research Group on Numerical Analysis, Images, Multiresolution and SimulationJournal Of Scientific Computing, 60(3), pp. 641 - 659. ISSN: 0885-7474
- F. Aràndiga ; D. F. Yañez(2014)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics and Computation, 245, pp. 1 - 16. ISSN: 0096-3003
- Aràndiga, Francesc; Mulet, Pep; Renau, Vicente(2015)Research Group on Numerical Analysis, Images, Multiresolution and SimulationNumerical Algorithms, 69, pp. 75 - 93. ISSN: 1017-1398
- F. Aràndiga ; D. F. Yañez(2016)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics and Computation, 272, pp. 208 - 222. ISSN: 0096-3003
- F. Aràndiga ; R. Donat; M. Santágueda(2016)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics and Computation, 272, pp. 28 - 40. ISSN: 0096-3003
- F. Aràndiga(2016)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics and Computation, 272, pp. 100 - 113. ISSN: 0096-3003
- Aràndiga, Francesc; Noguera, José Jaime(2016)Reconstructions that Combine Cell Average Interpolation with Least Squares Fitting.Applied Mathematics & Information Sciences, 10(1), pp. 173 - 184. ISSN: 1935-0090
- F. Aràndiga; D.F. Yañez(2016)Research Group on Numerical Analysis, Images, Multiresolution and SimulationJournal of the Franklin Institute-Engineering and Applied Mathematics, 353(3), pp. 670 - 687. ISSN: 0016-0032
- Aràndiga, Francesc; Noguera, José Jaime(2015)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Numerical Mathematics, 96, pp. 30 - 41. ISSN: 0168-9274
- Francesc Aràndiga; Rosa Donat ; José J. Noguera(2017)Research Group on Numerical Analysis, Images, Multiresolution and SimulationNumerical Algorithms, 74(1), pp. 175 - 198. ISSN: 1017-1398
- Francesc Aràndiga(2019)Research Group on Numerical Analysis, Images, Multiresolution and SimulationJournal of Computational and Applied Mathematics, 349, pp. 212 - 224. ISSN: 0377-0427
- Francesc Aràndiga; Dionisio F. Yáñez(2019)Third-order accurate monotone cubic Hermite interpolants.Applied Mathematics Letters, 94, pp. 73 - 79. ISSN: 0893-9659
- Francesc Aràndiga; Rosa Donat; Lucia Romani; Milvia Rossini(2020)Research Group on Numerical Analysis, Images, Multiresolution and SimulationMathematics and Computers in Simulation, 176, pp. 4 - 24. ISSN: 0378-4754
- Francesc Aràndiga; Antonio Baeza; Isabel Cordero-Carrión; Rosa Donat; M. Carmen Martí; Pep Mulet; Dionisio F. Yáñez(2020)Research Group on Numerical Analysis, Images, Multiresolution and SimulationMathematics, 8, p. 1677. ISSN: 2227-7390
- Francesc Aràndiga; Dionisio F. Yáñez(2020)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics Letters, 107. ISSN: 0893-9659
- Francesc Aràndiga; Dionisio F. Yáñez(2022)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics and Computation, 418(126795). ISSN: 0096-3003
- F. Aràndiga; A. Baeza; D. F. Yáñez(2022)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Numerical Mathematics, 172, pp. 591 - 607. ISSN: 0168-9274
- Francesc Aràndiga, Rosa Donat, Sergio López-Ureña(2023)Research Group on Numerical Analysis, Images, Multiresolution and SimulationApplied Mathematics and Computation, 448(127946). ISSN: 0096-3003
- Francesc Aràndiga, Rosa Donat, Daniella Schenone(2023)A 2D prediction step using multiquadric local interpolation with adaptive parameter estimation for image compression.Applied Mathematics and Computation, 457(128164). ISSN: 0096-3003
- F. Arandiga, D. Y. Yáñez,(2014).On Multiresolution Transforms Based on Weighted-Least Squares.Advances in Differential Equations and Applications. SEMA MIMAI Springer Series... Volume. 4 . (pp. 125 - 135)..
- F. Arandiga, J. J. Noguera,(2014).Signal Denoising with Harten's Multiresolution Using Interpolation and Least Squares Fitting.Advances in Differential Equations and Applications. SEMA MIMAI Springer Series... Volume. 4 . (pp. 137 - 145)..
- Francesc Aràndiga;Pep Mulet;Dionisio F. Yáñez,(2015).Non-linear Local Polynomial Regression Multiresolution Methods Using 1-norm Minimization with Application to Signal Processing.Curves and Surfaces 2014, Lecture Notes in Computer Science.. Volume. 9213 . (pp. 16 - 31)..

CNAE

University education

Associated structure

Mathematics

www.uv.es/departament-matematiques

dep.mat.aplicada@uv.es

Contact group details

Numerical Analysis, Images, Multiresolution and Simulation (ANIMS)

Burjassot/Paterna Campus

C/ Doctor Moliner, 50

46100 Burjassot (Valencia)

Contact people

MULET MESTRE, PEP
PDI-Catedratic/a d'Universitat

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Research Group on Numerical Analysis, Images, Multiresolution and Simulation - ANIMS