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Jukka Tuomela

Jukka Tuomela

Professor

ODE, PDE, including numerical methods, rigid body dynamics.

Department of Physics and Mathematics, Faculty of Science, Forestry and Technology

jukka.tuomela@uef.fi | +358 50 442 4311

Information Publications

The topic of my recent research is the analysis of PDE systems on manifolds and numerical methods for such systems.

Keywords

mathematics numerical modelling

Publications

77/77 items

A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates
Saleva, Tomi; Tuomela, Jukka. 2023. Journal of mathematical fluid mechanics. 2024; 26: . 3
Tarinoita polynomeista (osa 3)
Tuomela, Jukka. 2023. Solmu. : 5-12
Tarinoita polynomeista (osa 4)
Tuomela, Jukka. 2023. Solmu. 3: 20-28
Explicit Solutions to the 3D Incompressible Euler Equations in Lagrangian Formulation
Saleva, Tomi; Tuomela, Jukka. 2022. Journal of mathematical fluid mechanics. 24: . 98
Tarinoita polynomeista (osa 1)
Tuomela, Jukka. 2022. Solmu. 2: 1-6
Tarinoita polynomeista (osa 2)
Tuomela, Jukka. 2022. Solmu. 3: 18-25
Tarvitaanko joukko-oppia (enää)?
Tuomela, Jukka. 2022. Arkhimedes. 2: 28-41
On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations
Saleva, Tomi; Tuomela, Jukka. 2021. Journal of mathematical fluid mechanics. 23: 39
Overdetermined PDE Systems on Some Classes of Riemannian Manifolds
Samavaki, Maryam; Tuomela, Jukka. 2021. Journal of mathematics and statistical science. 7: 1-17
Mitä matematiikkaa pitäisi opettaa?
Tuomela, Jukka. 2020. Arkhimedes. : 31-43
2D incompressible Euler equations: New explicit solutions
Martin, Maria J; Tuomela, Jukka. 2019. Discrete and continuous dynamical systems: series a. 39: 4547-4563
Mikä on hyvä tehtävä?
Tuomela, Jukka. 2019. Solmu. : 5-6
Navier-Stokes equations on Riemannian manifolds
Samavaki, Maryam; Tuomela, Jukka. 2019. Journal of geometry and physics. 2020; 148: 103543
Application of Intersection Theory to Singularity and Motion Mode Analysis of Mechanisms
Piipponen Samuli, Muller Andreas, Hyry Eero, Tuomela Jukka. Teoksessa: Zeghloul Saïd, Romdhane Lotfi, Laribi Med Amine(toim.) , 2017. Computational Kinematics : Proceedings of the 7th International Workshop on Computational Kinematics that was held at Futuroscope-Poitiers, France, in May 2017. s. 508-515. Springer
Modelling with differential equations
Tuomela J. Teoksessa: Pohjolainen Seppo(toim.) , 2016. Mathematical Modelling. s. 123-148. Springer
On the numerical solution of elliptic and parabolic pde in the real projective plane
Sattari Mahdieh, Tuomela Jukka. 2016. Journal of computational mathematics. 34: 12-29
Estimating Tree Height Distribution Using Low-Density ALS Data With and Without Training Data
Mehtätalo Lauri, Virolainen Anni, Tuomela Jukka, Packalen Petteri. 2015. IEEE journal of selected topics in applied earth observations and remote sensing. 8: 1432-1441
On the numerical simulation of Schnakenberg model on evolving surface
Sattari Mahdieh, Tuomela Jukka. 2015. Mathematical Sciences Letters. 4: 223-234
Patterns on evolving surfaces
Sattari Mahdieh, Tuomela Jukka. Teoksessa: J. M. Díaz Moreno, J. C. Díaz Moreno, C. García Vázquez, J. Medina Moreno, F. Ortegón Gallego, C. Pérez Martínez, M. V. Redondo Neble and J. R. Rodríguez Galván(toim.) , 2015. Proceedings of the XXIV Congress on Differential Equations and Applications (CDEA) / XIV Congress on Applied Mathematics (CMA). s. 565-570.
Tailored Formulations of geometric constraints for algebraic analysis of mechanism kinematics
Piipponen Samuli, Hyry Eero, Tuomela Jukka, Müller Andreas. Teoksessa: -(toim.) , 2015. ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. s. V05CT08A051; 9 pages. ASME
Uncertainty quantification in the numerical solution of coupled systems by involutive completion
Mohammadi Bijan, Tuomela Jukka. 2015. ESAIM : mathematical modelling and numerical analysis. 49: 1047-1062
Computational algebraic geometry and global analysis of regional manipulators
Arponen, Teijo, Muller Andreas, Piipponen Samuli, Tuomela Jukka. 2014. Applied mathematics and computation. 232: 820-835
Coupled simulation of the spherical angles of rigid fibres by using a fibre orientation probability distribution model
Sattari Mahdieh, Tuomela Jukka, Niskanen Heidi, Hämäläinen Jari. 2014. International journal of multiphase flow. 65: 61-67
Liuske-energiaboomin vaikutukset talouteen ovat toistaiseksi olleet vähäisiä
Suokko Aki, Tuomela Jukka. 2014. Kansantaloudellinen aikakauskirja. : 274-281
Algebraic analysis of kinematics of multibody systems
Piipponen Samuli, Tuomela Jukka. 2013. Mechanical sciences. 4: 33-47
Classification of Singularities in Kinematics of Mechanisms
Piipponen Samuli, Arponen Teijo, Tuomela Jukka. Teoksessa: Federico Thomas (Editor), Alba Perez Gracia (Editor)(toim.) , 2013. Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013) (Mechanisms and Machine Science). s. 41-48. Springer
Configuration space analysis of rigid mechanisms
Piipponen Samuli, Tuomela Jukka. 2013. Miskolc mathematical notes. 14: 685-695
Eigenvectors of optimal color spectra
Flinkman M, Laamanen H, Tuomela J, Vahimaa P, Hauta-Kasari M. 2013. Journal of the optical society of america a: optics image science and vision. 30: 1806-1813
Is climate warming more consequential towards poles? The phenology of Lepidoptera in Finland
Valtonen Anu, Leinonen Reima, Pöyry Juha, Roininen Heikki, Tuomela Jukka, Ayres Matthew P. 2013. Global change biology. 20: 16-27
Kinematical analysis of Wunderlich Mechanism
Arponen Teijo, Piipponen Samuli, Tuomela Jukka. 2013. Mechanism and machine theory. Volume 70: 16-31
Kinematical analysis of mechanisms with computer algebra
Piipponen Samuli, Arponen Teijo, Tuomela Jukka. 2013.
Kinematical analysis of overconstrained and underconstrained mechanisms by means of computational algebraic geometry
Arponen, Teijo, Muller Andreas, Piipponen Samuli, Tuomela Jukka. 2013. Meccanica. Online 13.11.2013: 1-20
Involutive formulation and simulation for electroneutral microfluids
Mohammadi Bijan, Tuomela Jukka. 2011. ESAIM : mathematical modelling and numerical analysis. 45: 901-913
On the orientation probability distribution of flexible fibres in a contracting channel flow
Niskanen H, Eloranta H, Tuomela J, Hämäläinen J. 2011. International journal of multiphase flow. 37: 336-345
Epävakaa pyöriminen
Jukka Tuomela. 2010. Arkhimedes. : 16
Matemaattinen mallinnus
Heiliö M, Laitinen E, Mantere T, Merikoski J,Pohjolainen S, Piche R, Raivio K,Silvennoinen R, Suutala A, Tiihonen T & et al. 2010. . . WSOYpro
Mitä ovat laskennalliset tieteet ? (symbolinen laskenta)
Jukka Tuomela. 2010. Solmu. : 1-6
Involutive upgrades of Navier-Stokes solvers
Bijan Mohammadi and Jukka Tuomela. 2009. International Journal of Computational Fluid Dynamics. 23: 439-447
Kinematic analysis of Bricard's mechanism
Teijo Arponen, Samuli Piipponen, and Jukka Tuomela. 2009. Nonlinear dynamics. 56: 85-99
Matematiikan olemus ja tutkimus
Jukka Tuomela. 2009. Ostiensis. Tiedettä ja tutkimusta Joensuun yliopistosta. : 34-37
Tieteen unohdettu vallankumous
Jukka Tuomela. 2009. Arkhimedes. : 25-26
Analysing singularities of a benchmark problem
Teijo Arponen, Samuli Piipponen, and Jukka Tuomela. 2008. Multibody system dynamics. 19: 227-253
Completion of overdetermined parabolic PDEs
Katsiaryna Krupchyk and Jukka Tuomela. 2008. Journal of Symbolic Computation. 43: 153-167
Involutive completion to avoid LBB condition
B. Mohammadi and J. Tuomela. Teoksessa: Karl Kunisch, Günther Of, Olaf Steinbach(toim.) , 2008. Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2007. s. 497-504. Springer
Involutive methods for Navier-Stokes equations
B. Mohammadi and J. Tuomela. Teoksessa: J. Haataja, R. Stenberg, J. Periaux, P. Råback and P. Neittaanmäki(toim.) , 2008. Numerical Analysis and Scientific Computing for Partial Differential Equations and their Challenging Applications. s. 143-152. CIMNE
Kinematic analysis of multibody systems
J. Tuomela. 2008. BIT. 48: 405-421
Mitä ovat &delta:x ja dx, ja mitä niiden pitäisi olla?
J. Tuomela. 2008. Arkhimedes. : 21-24
Compatibility complexes for overdetermined boundary problems
Katsiaryna Krupchyk, Jukka Tuomela. Teoksessa: Markus Rosenkranz, Dongming Wang(toim.) , 2007. Gröbner bases in symbolic analysis. s. 267-281. de Gruyter
Elliptic quasicomplexes in Boutet de Monvel algebra
K. Krupchyk, N. Tarkhanov, J. Tuomela. 2007. Journal of functional analysis. 247: 202-230
Generalised elliptic boundary problems
K. Krupchyk, N. Tarkhanov, J. Tuomela. 2007. Journal of differential equations. 239: 417-447
Numerical solution of constrained systems using jet spaces
Jukka Tuomela, Teijo Arponen, Villesamuli Normi. Teoksessa: (toim.) , 2007. Proceedings of IDETC/CIE 2007, ASME 2007. s. 8 s..
On Fredholm property of elliptic PDEs
Katsiaryna Krupchyk, Jukka Tuomela. Teoksessa: (toim.) , 2006. Proceedings of Transgressive Computing 2006. s. 411-414.
On the numerical solution of involutive ordinary differential systems: enhanced linear algebra
Jukka Tuomela, Teijo Arponen, Villesamuli Normi. 2006. IMA Journal of Numerical Analysis. 26: 811-846
Overdetermined elliptic systems
Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuomela. 2006. Foundations of Computational Mathematics. 6: 309-351
Rene Thom, fysiikka ja todellisuus
Jukka Tuomela. 2006. Arkhimedes. : 20\-\-24
Spectral video intraframe compression and database
J. Purmonen;M. Hauta-Kasari;J. Tuomela;H Fukuda;M. Mitsui and M. Yamaguchi. Teoksessa: Mitchell R. Rosen;Francisco H. Imai;Shoji Tominaga(toim.) , 2006. Spectral Imaging: Eighth International Symposium on Multispectral Color ScienceProceedings of SPIE-IS&T, Vol. 6062, San Jose, California, USA. s. 60620N-1-8.
The Shapiro-Lopatinskij condition for elliptic boundary value problems
Katsiaryna Krupchyk, Jukka Tuomela. 2006. LMS Journal of Computation and Mathematics. 9: 287-329
Simplifying numerical solution of constrained PDE systems through involutive completion
Bijan Mohammadi;Jukka Tuomela. 2005. ESAIM : mathematical modelling and numerical analysis. 39: 909-929
Comparison of wavelet and PCA compression methods for spectral images
Juha Purmonen, Markku Hauta-Kasari, Jukka Tuomela. Teoksessa: (toim.) , 2004. Twelfth Color Imaging Conference: Color Science and Engineering Systems, Technologies, Applications. s. 136-139. The Society for Imaging Science and Technology
Involutivity and numerical solution of PDE systems
Bijan Mohammadi, Jukka Tuomela. Teoksessa: P. Neittaanmäki et al.(toim.) , 2004. Proceedings of ECCOMAS 2004 (European congress on computational methods in applied sciences and engineering). s. 10 s..
Overdetermined elliptic systems
Seiler, Werner M.; Tuomela, Jukka. 2003. Proceedings in Applied Mathematics and Mechanics. 3:1: 485-486
Suorat, käyrät ja kaarevuus
Jukka Tuomela. 2003. Solmu. : 14-20
Nonlinear boundary value problems and linking number
Jukka Tuomela. 2001. Nonlinear Analysis. 45: 577-595
On the numerical solution of involutive ordinary differential systems: higher order methods
J. Tuomela, T. Arponen. 2001. BIT. 41: 599-628
Poincaré ja merkinnät marginaalissa
Jukka Tuomela. 2001. Arkhimedes. : 16-22
A geometric analysis of a singular ODE related to the study of a quasilinear PDE
Jukka Tuomela. 2000. Electronic journal of differential equations. :
On the numerical solution of involutive ordinary differential systems
Jukka Tuomela, Teijo Arponen. 2000. IMA Journal of Numerical Analysis. 20: 561-599
Algebraic derivation of discrete absorbing boundary conditions for the wave equation
J. Tuomela;O. Vacus. 1998. Numer. Math.. 80: 419-459
On the resolution of singularities of ordinary differential systems
J. Tuomela. 1998. Numer. Alg.. 19: 247-259
A new theoretical approach to absorbing layers
P. Joly, J. Tuomela. 1997. SIAM J. Num. Anal.. 34: 671-698
On singular points of quasilinear differential and differential-algebraic equations
J. Tuomela. 1997. BIT. 37: 966-975
On the construction of arbitrary order schemes for the many dimensional wave equation
J. Tuomela. 1996. BIT. 36: 394-405
A note on high order schemes for the one dimensional wave equation
J. Tuomela. 1995. BIT. 35: 158-165
Discrete absorbing boundary conditions for one dimensional wave equation
J. Tuomela. Teoksessa: E. Bécache;G. Cohen;P. Joly and J. Roberts;eds.(toim.) , 1995. Third international conference on mathematical and numerical aspects of wave propagation. s. 483-488. SIAM
Fourth order schemes for wave equation, Maxwell equations and linearized elastodynamic equations
J. Tuomela. 1994. Numerical methods for PDEs. 10: 33-63
Osittaisdifferentiaaliyhtälöiden ratkaisukäsitykset
O.-P. Piirilä;J. Tuomela. 1994. Arkhimedes. 46: 260-310
2D finite element solution of the wave equation by absorbing boundary conditions
El Dabaghi F.;Tuomela Jukka. Teoksessa: W. R. Blain and D. Ouazar;eds.(toim.) , 1990. Hydraulic engineering software applications. s. 3-13. Computational Mechanics Publications

University of Eastern Finland Joensuu, Kuopio © University of Eastern Finland

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Jukka Tuomela

Keywords

A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates

Tarinoita polynomeista (osa 3)

Tarinoita polynomeista (osa 4)

Explicit Solutions to the 3D Incompressible Euler Equations in Lagrangian Formulation

Tarinoita polynomeista (osa 1)

Tarinoita polynomeista (osa 2)

Tarvitaanko joukko-oppia (enää)?

On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations

Overdetermined PDE Systems on Some Classes of Riemannian Manifolds

Mitä matematiikkaa pitäisi opettaa?

2D incompressible Euler equations: New explicit solutions

Mikä on hyvä tehtävä?

Navier-Stokes equations on Riemannian manifolds

Application of Intersection Theory to Singularity and Motion Mode Analysis of Mechanisms

Modelling with differential equations

On the numerical solution of elliptic and parabolic pde in the real projective plane

Estimating Tree Height Distribution Using Low-Density ALS Data With and Without Training Data

On the numerical simulation of Schnakenberg model on evolving surface

Patterns on evolving surfaces

Tailored Formulations of geometric constraints for algebraic analysis of mechanism kinematics

Uncertainty quantification in the numerical solution of coupled systems by involutive completion

Computational algebraic geometry and global analysis of regional manipulators

Coupled simulation of the spherical angles of rigid fibres by using a fibre orientation probability distribution model

Liuske-energiaboomin vaikutukset talouteen ovat toistaiseksi olleet vähäisiä

Algebraic analysis of kinematics of multibody systems

Classification of Singularities in Kinematics of Mechanisms

Configuration space analysis of rigid mechanisms

Eigenvectors of optimal color spectra

Is climate warming more consequential towards poles? The phenology of Lepidoptera in Finland

Kinematical analysis of Wunderlich Mechanism

Kinematical analysis of mechanisms with computer algebra

Kinematical analysis of overconstrained and underconstrained mechanisms by means of computational algebraic geometry

Involutive formulation and simulation for electroneutral microfluids

On the orientation probability distribution of flexible fibres in a contracting channel flow

Epävakaa pyöriminen

Matemaattinen mallinnus

Mitä ovat laskennalliset tieteet ? (symbolinen laskenta)

Involutive upgrades of Navier-Stokes solvers

Kinematic analysis of Bricard's mechanism

Matematiikan olemus ja tutkimus

Tieteen unohdettu vallankumous

Analysing singularities of a benchmark problem

Completion of overdetermined parabolic PDEs

Involutive completion to avoid LBB condition

Involutive methods for Navier-Stokes equations

Kinematic analysis of multibody systems

Mitä ovat &delta:x ja dx, ja mitä niiden pitäisi olla?

Compatibility complexes for overdetermined boundary problems

Elliptic quasicomplexes in Boutet de Monvel algebra

Generalised elliptic boundary problems

Numerical solution of constrained systems using jet spaces

On Fredholm property of elliptic PDEs

On the numerical solution of involutive ordinary differential systems: enhanced linear algebra

Overdetermined elliptic systems

Rene Thom, fysiikka ja todellisuus

Spectral video intraframe compression and database

The Shapiro-Lopatinskij condition for elliptic boundary value problems

Simplifying numerical solution of constrained PDE systems through involutive completion

Comparison of wavelet and PCA compression methods for spectral images

Involutivity and numerical solution of PDE systems

Overdetermined elliptic systems

Suorat, käyrät ja kaarevuus

Nonlinear boundary value problems and linking number

On the numerical solution of involutive ordinary differential systems: higher order methods

Poincaré ja merkinnät marginaalissa

A geometric analysis of a singular ODE related to the study of a quasilinear PDE

On the numerical solution of involutive ordinary differential systems

Algebraic derivation of discrete absorbing boundary conditions for the wave equation

On the resolution of singularities of ordinary differential systems

A new theoretical approach to absorbing layers

On singular points of quasilinear differential and differential-algebraic equations

On the construction of arbitrary order schemes for the many dimensional wave equation

A note on high order schemes for the one dimensional wave equation

Discrete absorbing boundary conditions for one dimensional wave equation

Fourth order schemes for wave equation, Maxwell equations and linearized elastodynamic equations

Osittaisdifferentiaaliyhtälöiden ratkaisukäsitykset

2D finite element solution of the wave equation by absorbing boundary conditions