D-Index & Metrics Best Publications
Mathematics
Belgium
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 42 Citations 7,703 197 World Ranking 2279 National Ranking 32
Mathematics D-index 52 Citations 9,053 342 World Ranking 699 National Ranking 9

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Belgium Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Programming language

Dirk Roose mostly deals with Mathematical analysis, Delay differential equation, Numerical analysis, Control theory and Bifurcation. Dirk Roose interconnects Hopf bifurcation and Dynamical systems theory in the investigation of issues within Mathematical analysis. His Delay differential equation research is multidisciplinary, incorporating perspectives in Symmetry, Phase, Numerical continuation, Stability and Bifurcation diagram.

The concepts of his Numerical analysis study are interwoven with issues in Bifurcation analysis, Continuation, Control engineering, Software and Computation. His work in Bifurcation analysis tackles topics such as Macroscopic scale which are related to areas like Finite element method. He has researched Ordinary differential equation in several fields, including Bifurcation theory and Applied mathematics.

His most cited work include:

  • Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL (527 citations)
  • Wavelet-based image denoising using a Markov random field a priori model (272 citations)
  • Computational Partial Differential Equations: Numerical Methods and Diffpack Programming (244 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Mathematical analysis, Applied mathematics, Parallel computing, Delay differential equation and Finite element method. His work in Mathematical analysis addresses issues such as Bifurcation theory, which are connected to fields such as Saddle-node bifurcation. His Applied mathematics research is multidisciplinary, relying on both Numerical stability and Mathematical optimization.

His Delay differential equation research is classified as research in Control theory. His work deals with themes such as Forming processes, Texture and Anisotropy, which intersect with Finite element method. His work carried out in the field of Anisotropy brings together such families of science as Geometry, Metallurgy and Constitutive equation.

He most often published in these fields:

  • Mathematical analysis (14.48%)
  • Applied mathematics (12.69%)
  • Parallel computing (12.47%)

What were the highlights of his more recent work (between 2008-2021)?

  • Anisotropy (6.68%)
  • Finite element method (8.24%)
  • Mechanics (7.13%)

In recent papers he was focusing on the following fields of study:

Dirk Roose focuses on Anisotropy, Finite element method, Mechanics, Texture and Composite material. His Anisotropy research is multidisciplinary, incorporating elements of Plasticity, Geometry, Constitutive equation and Deep drawing, Metallurgy. The various areas that he examines in his Finite element method study include Forming processes, Deformation, Scale and Deformation.

His Mechanics study integrates concerns from other disciplines, such as Particle, Microstructure and Phase. His biological study spans a wide range of topics, including Texture, Permeability and Multiscale modeling. His research on Lattice Boltzmann methods frequently links to adjacent areas such as Computation.

Between 2008 and 2021, his most popular works were:

  • Lecture Notes in Computational Science and Engineering (169 citations)
  • Estimation of Cell Proliferation Dynamics Using CFSE Data (68 citations)
  • Permeability prediction for the meso–macro coupling in the simulation of the impregnation stage of Resin Transfer Moulding (57 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Programming language

His primary areas of study are Finite element method, Mechanics, Anisotropy, Texture and Composite material. Finite difference method, Solver, Discretization and Computer simulation is closely connected to Finite difference in his research, which is encompassed under the umbrella topic of Finite element method. His study in Mechanics is interdisciplinary in nature, drawing from both Particle, Hardening and Microstructure.

He has included themes like Deep drawing, Forming processes and Geometry in his Texture study. His work on Plasticity, Polymer and Epoxy as part of general Composite material research is often related to Water transport, thus linking different fields of science. Deformation is often connected to Mathematical analysis in his work.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Lecture Notes in Computational Science and Engineering

M. Griebel;D. Roose;T. Schlick;A. Tveito.
(2015)

833 Citations

Lecture Notes in Computational Science and Engineering

M. Griebel;D. Roose;T. Schlick;A. Tveito.
(2015)

833 Citations

Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

K. Engelborghs;T. Luzyanina;D. Roose.
ACM Transactions on Mathematical Software (2002)

823 Citations

Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

K. Engelborghs;T. Luzyanina;D. Roose.
ACM Transactions on Mathematical Software (2002)

823 Citations

Wavelet-based image denoising using a Markov random field a priori model

M. Malfait;D. Roose.
IEEE Transactions on Image Processing (1997)

458 Citations

Wavelet-based image denoising using a Markov random field a priori model

M. Malfait;D. Roose.
IEEE Transactions on Image Processing (1997)

458 Citations

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

Hans Petter Langtangen;D. Keyes;R. Nieminen;M. Griebel.
(1999)

373 Citations

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

Hans Petter Langtangen;D. Keyes;R. Nieminen;M. Griebel.
(1999)

373 Citations

Continuous pole placement for delay equations

W. Michiels;K. Engelborghs;P. Vansevenant;D. Roose.
Automatica (2002)

293 Citations

Continuous pole placement for delay equations

W. Michiels;K. Engelborghs;P. Vansevenant;D. Roose.
Automatica (2002)

293 Citations

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