# zbMATH — the first resource for mathematics

## Mikula, Karol

Compute Distance To:
 Author ID: mikula.karol Published as: Mikula, K.; Mikula, Karol
 Documents Indexed: 101 Publications since 1995, including 5 Books
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#### Co-Authors

 5 single-authored 17 Handlovičová, Angela 14 Frolkovič, Peter 13 Ševčovič, Daniel 10 Remešiková, Mariana 8 Krivá, Zuzana 7 Balazovjech, Martin 6 Čunderliḱ, Róbert 6 Peyriéras, Nadine 6 Sgallari, Fiorella 6 Urbán, Jozef 5 Medl’a, Matej 4 Basara, Branislav 4 Beneš, Michal 4 Eymard, Robert 4 Hahn, Jooyoung 4 Kacur, Jozef 4 Sarti, Alessandro 3 Ambroz, Martin 3 Drblíková, Olga 3 Kútik, Pavol 3 Ohlberger, Mario 3 Sarti, Alex 3 Smíšek, Michal 3 Špir, Róbert 2 Bänsch, Eberhard 2 Bourgine, Paul 2 Corsaro, Stefania 2 Herbin, Raphaèle 2 Kratochvil, Jan 2 Macák, Marek 2 Minarechová, Zuzana 2 Minárik, Vojtěch 2 Mojzeš, Matej 2 Novysedlák, Peter 2 Oberhuber, Tomás 2 Rizzi, Barbara 2 Stašová, Olga 2 Tomek, Lukáš 1 Campana, Matteo 1 Chalupecký, Vladimír 1 Chi, Mai Nguyen 1 Daniel, Patrik 1 De Simone, Valentina 1 Drblíková-Stašová, Olga 1 Droniou, Jérôme 1 Fašková, Zuzana 1 Faure, Emmanuel 1 Fraštia, Marek 1 Frolkovič, Richard 1 Húska, Martin 1 Janák, Juraj 1 Kollár, Jozef 1 Kollár, Michal 1 Komornikova, Magda 1 Kósa, Balázs 1 Lamberti, Carlo 1 Lutfalla, Georges 1 Marčiš, Marián 1 Melani, Camilo 1 Okock, Polycarp Omondi 1 Park, Seol Ah 1 Petrášová, Mária 1 Peyriéeras, N. 1 Preusser, Tobias 1 Ramarosy, Narisoa 1 Rumpf, Martin 1 Sanguinetti, Gonzalo 1 Sarkoci, Peter 1 Sipka, Tamara 1 Šprlál, Michal 1 Ungvarský, Cyril 1 Zanella, Cecilia
all top 5

#### Serials

 9 Applied Numerical Mathematics 7 Computing and Visualization in Science 6 Acta Mathematica Universitatis Comenianae. New Series 6 SIAM Journal on Scientific Computing 4 Kybernetika 4 Tatra Mountains Mathematical Publications 4 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Computational Mathematics 3 Journal of Electrical Engineering 2 Numerische Mathematik 2 Applications of Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 SIAM Journal on Applied Mathematics 1 Journal of Geodesy 1 IEEE Transactions on Image Processing 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 RIMS Kôkyûroku Bessatsu 1 GEM - International Journal on Geomathematics
all top 5

#### Fields

 87 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 23 Information and communication theory, circuits (94-XX) 19 Computer science (68-XX) 14 Differential geometry (53-XX) 12 Biology and other natural sciences (92-XX) 10 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 6 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

60 Publications have been cited 363 times in 192 Documents Cited by Year
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
2004
Evolution of plane curves driven by a nonlinear function of curvature and anisotropy. Zbl 0980.35078
Mikula, Karol; Sevcovic, Daniel
2001
Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. Zbl 1065.65105
Handlovičová, Angela; Mikula, Karol; Sgallari, Fiorella
2003
A direct method for solving an anisotropic mean curvature flow of plane curves with an external force. Zbl 1049.35019
Mikula, Karol; Ševčovič, Daniel
2004
High-resolution flux-based level set method. Zbl 1141.76041
Frolkovič, Peter; Mikula, Karol
2007
Flux-based level set method: A finite volume method for evolving interfaces. Zbl 1120.65093
Frolkovič, Peter; Mikula, Karol
2007
Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Zbl 1013.65094
Mikula, Karol; Ramarosy, Narisoa
2001
Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088
Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F.
2006
Solution of nonlinear diffusion appearing in image smoothing and edge detection. Zbl 0823.65089
Kačur, Jozef; Mikula, Karol
1995
Convergence analysis of finite volume scheme for nonlinear tensor anisotropic diffusion in image processing. Zbl 1233.65063
Drblíková, Olga; Mikula, Karol
2008
Manifold evolution with tangential redistribution of points. Zbl 1328.53086
Mikula, Karol; Remešíková, Mariana; Sarkoci, Peter; Ševčovič, Daniel
2014
Evolution of curves on a surface driven by the geodesic curvature and external force. Zbl 1097.35084
Mikula, Karol; Ševčovič, Daniel
2006
Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. Zbl 1310.65103
Mikula, Karol; Ohlberger, Mario; Urbán, Jozef
2014
Simulation of anisotropic motion by mean curvature – comparison of phase field and sharp interface approaches. Zbl 0963.80004
Beneš, M.; Mikula, K.
1998
A coarsening finite element strategy in image selective smoothing. Zbl 0971.65084
Bänsch, Eberhard; Mikula, Karol
1997
A higher-order scheme for a tangentially stabilized plane curve shortening flow with a driving force. Zbl 1276.65048
Balažovjech, Martin; Mikula, Karol
2011
A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. Zbl 1223.65072
Mikula, Karol; Ohlberger, Mario
2010
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449
Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro
2010
3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259
Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A.
2008
Slow and fast diffusion effects in image processing. Zbl 0971.65085
Kacur, Jozef; Mikula, Karol
2001
Lagrangean method with topological changes for numerical modelling of forest fire propagation. Zbl 1278.65131
Balažovjech, Martin; Mikula, Karol; Petrášová, Mária; Urbán, Jozef
2012
Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
2011
A simple, fast and stabilized flowing finite volume method for solving general curve evolution equations. Zbl 1364.65175
Mikula, Karol; Sevcovic, Daniel; Balazovjech, Martin
2010
Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves. Zbl 1213.35033
Beneš, Michal; Mikula, Karol; Oberhuber, Tomáš; Ševčovič, Daniel
2009
Evolution of convex plane curves describing anisotropic motions of phase interfaces. Zbl 0868.35063
Mikula, Karol; Kačur, Jozef
1996
Numerical solution of nonlinear diffusion with finite extinction phenomenon. Zbl 0852.35080
Mikula, K.
1995
Semi-implicit finite volume level set method for advective motion of interfaces in normal direction. Zbl 1320.65124
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
2015
Inflow-implicit/outflow-explicit scheme for solving advection equations. Zbl 1246.65167
Mikula, Karol; Ohlberger, Mario
2011
Finite volume schemes for solving nonlinear partial differential equations in financial mathematics. Zbl 1246.91150
Kútik, Pavol; Mikula, Karol
2011
Error estimates of the finite volume scheme for the nonlinear tensor-driven anisotropic diffusion. Zbl 1172.65052
Drblíková, Olga; Handlovičová, Angela; Mikula, Karol
2009
Counting number of cells and cell segmentation using advection-diffusion equations. Zbl 1140.35468
Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex
2007
Adaptivity in 3D image processing. Zbl 0996.65104
Bänsch, Eberhard; Mikula, Karol
2001
Solution of nonlinearly curvature driven evolution of plane curves. Zbl 0938.65145
Mikula, Karol; Ševčovič, Daniel
1999
4D numerical schemes for cell image segmentation and tracking. Zbl 1246.65166
Mikula, K.; Peyriéeras, N.; Remešíková, M.; Smíšek, M.
2011
4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020
Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro
2010
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. Zbl 1199.35197
Handlovičová, Angela; Mikula, Karol
2008
Numerical simulation of dislocation dynamics by means of parametric approach. Zbl 1312.74022
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol
2005
Semi-implicit finite volume scheme for image processing in 3D cylindrical geometry. Zbl 1042.65069
Mikula, Karol; Sgallari, Fiorella
2003
Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh. Zbl 1371.65092
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
2017
Semi-implicit level set method with inflow-based gradient in a polyhedron mesh. Zbl 1365.65204
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
2017
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2015
A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. Zbl 1296.65030
Mikula, Karol; Urbán, Jozef
2014
Solving the oblique derivative boundary-value problem by the finite volume method. Zbl 1278.65166
Macák, Marek; Mikula, Karol; Minarechová, Zuzana
2012
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2011
Finite volume schemes for the generalized subjective surface equation in image segmentation. Zbl 1209.68473
Mikula, Karol; Remešíková, Mariana
2009
Numerical simulation of dislocation dynamics. Zbl 1163.65309
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol; Beneš, Michal
2004
Image processing with partial differential equations. Zbl 1065.94502
Mikula, Karol
2002
Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210
Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro
1998
Solution of nonlinear curvature driven evolution of plane convex curves. Zbl 0877.65068
Mikula, Karol
1997
Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution. Zbl 1413.53024
Tomek, L.; Remešíková, M.; Mikula, K.
2018
Numerical algorithm for tracking cell dynamics in 4D biomedical images. Zbl 1325.35238
Peyriéras, Nadine; Špir, Róbert; Mikula, Karol
2015
Diamond-cell finite volume scheme for the Heston model. Zbl 1317.35103
Kútik, Pavol; Mikula, Karol
2015
Distance function and extension in normal direction for implicitly defined interfaces. Zbl 1321.76045
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
2015
3D Lagrangian segmentation with simultaneous mesh adjustment. Zbl 1320.65037
Mikula, Karol; Remešíková, Mariana
2014
A new form-finding method based on mean curvature flow of surfaces. Zbl 1278.53014
Húska, Martin; Medl’a, Matej; Mikula, Karol; Novysedlák, Peter; Remešíková, Mariana
2012
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Zbl 1264.65159
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
2012
Semi-implicit diamond-cell finite volume scheme for 3D nonlinear tensor diffusion in coherence enhancing image filtering. Zbl 1374.94088
Drblíková, Olga; Mikula, Karol
2008
Tangentially stabilized Lagrangian algorithm for elastic curve evolution driven by intrinsic Laplacian of curvature. Zbl 1180.65019
Mikula, Karol; Ševčovič, Daniel
2005
The boundary element method applied to the determination of the global quasigeoid. Zbl 1056.86500
Čunderlík, R.; Mikula, K.; Mojzeš, M.
2001
An adaptive finite volume method in processing of color images. Zbl 1012.35002
Krivá, Zuzana; Mikula, Karol
2001
Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution. Zbl 1413.53024
Tomek, L.; Remešíková, M.; Mikula, K.
2018
Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh. Zbl 1371.65092
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
2017
Semi-implicit level set method with inflow-based gradient in a polyhedron mesh. Zbl 1365.65204
Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav
2017
Semi-implicit finite volume level set method for advective motion of interfaces in normal direction. Zbl 1320.65124
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
2015
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2015
Numerical algorithm for tracking cell dynamics in 4D biomedical images. Zbl 1325.35238
Peyriéras, Nadine; Špir, Róbert; Mikula, Karol
2015
Diamond-cell finite volume scheme for the Heston model. Zbl 1317.35103
Kútik, Pavol; Mikula, Karol
2015
Distance function and extension in normal direction for implicitly defined interfaces. Zbl 1321.76045
Frolkovič, Peter; Mikula, Karol; Urbán, Jozef
2015
Manifold evolution with tangential redistribution of points. Zbl 1328.53086
Mikula, Karol; Remešíková, Mariana; Sarkoci, Peter; Ševčovič, Daniel
2014
Inflow-implicit/outflow-explicit finite volume methods for solving advection equations. Zbl 1310.65103
Mikula, Karol; Ohlberger, Mario; Urbán, Jozef
2014
A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. Zbl 1296.65030
Mikula, Karol; Urbán, Jozef
2014
3D Lagrangian segmentation with simultaneous mesh adjustment. Zbl 1320.65037
Mikula, Karol; Remešíková, Mariana
2014
Lagrangean method with topological changes for numerical modelling of forest fire propagation. Zbl 1278.65131
Balažovjech, Martin; Mikula, Karol; Petrášová, Mária; Urbán, Jozef
2012
Solving the oblique derivative boundary-value problem by the finite volume method. Zbl 1278.65166
Macák, Marek; Mikula, Karol; Minarechová, Zuzana
2012
A new form-finding method based on mean curvature flow of surfaces. Zbl 1278.53014
Húska, Martin; Medl’a, Matej; Mikula, Karol; Novysedlák, Peter; Remešíková, Mariana
2012
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Zbl 1264.65159
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
2012
A higher-order scheme for a tangentially stabilized plane curve shortening flow with a driving force. Zbl 1276.65048
Balažovjech, Martin; Mikula, Karol
2011
Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072
Eymard, Robert; Handlovičová, Angela; Mikula, Karol
2011
Inflow-implicit/outflow-explicit scheme for solving advection equations. Zbl 1246.65167
Mikula, Karol; Ohlberger, Mario
2011
Finite volume schemes for solving nonlinear partial differential equations in financial mathematics. Zbl 1246.91150
Kútik, Pavol; Mikula, Karol
2011
4D numerical schemes for cell image segmentation and tracking. Zbl 1246.65166
Mikula, K.; Peyriéeras, N.; Remešíková, M.; Smíšek, M.
2011
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2011
A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach. Zbl 1223.65072
Mikula, Karol; Ohlberger, Mario
2010
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis. Zbl 1371.94449
Zanella, Cecilia; Campana, Matteo; Rizzi, Barbara; Melani, Camilo; Sanguinetti, Gonzalo; Bourgine, Paul; Mikula, Karol; Peyriéras, Nadine; Sarti, Alessandro
2010
A simple, fast and stabilized flowing finite volume method for solving general curve evolution equations. Zbl 1364.65175
Mikula, Karol; Sevcovic, Daniel; Balazovjech, Martin
2010
4D embryogenesis image analysis using PDE methods of image processing. Zbl 1198.94020
Bourgine, Paul; Čunderlík, Róbert; Drblíková-Stašová, Olga; Mikula, Karol; Remešíková, Mariana; Peyriéras, Nadine; Rizzi, Barbara; Sarti, Alessandro
2010
Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves. Zbl 1213.35033
Beneš, Michal; Mikula, Karol; Oberhuber, Tomáš; Ševčovič, Daniel
2009
Error estimates of the finite volume scheme for the nonlinear tensor-driven anisotropic diffusion. Zbl 1172.65052
Drblíková, Olga; Handlovičová, Angela; Mikula, Karol
2009
Finite volume schemes for the generalized subjective surface equation in image segmentation. Zbl 1209.68473
Mikula, Karol; Remešíková, Mariana
2009
Convergence analysis of finite volume scheme for nonlinear tensor anisotropic diffusion in image processing. Zbl 1233.65063
Drblíková, Olga; Mikula, Karol
2008
3D embryogenesis image segmentation by the generalized subjective surfaces method using the finite volume technique. Zbl 1374.94259
Mikula, K.; Peyriéras, N.; Remešíková, M.; Sarti, A.
2008
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. Zbl 1199.35197
Handlovičová, Angela; Mikula, Karol
2008
Semi-implicit diamond-cell finite volume scheme for 3D nonlinear tensor diffusion in coherence enhancing image filtering. Zbl 1374.94088
Drblíková, Olga; Mikula, Karol
2008
High-resolution flux-based level set method. Zbl 1141.76041
Frolkovič, Peter; Mikula, Karol
2007
Flux-based level set method: A finite volume method for evolving interfaces. Zbl 1120.65093
Frolkovič, Peter; Mikula, Karol
2007
Counting number of cells and cell segmentation using advection-diffusion equations. Zbl 1140.35468
Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex
2007
Semi-implicit covolume method in 3D image segmentation. Zbl 1126.65088
Corsaro, S.; Mikula, K.; Sarti, A.; Sgallari, F.
2006
Evolution of curves on a surface driven by the geodesic curvature and external force. Zbl 1097.35084
Mikula, Karol; Ševčovič, Daniel
2006
Numerical simulation of dislocation dynamics by means of parametric approach. Zbl 1312.74022
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol
2005
Tangentially stabilized Lagrangian algorithm for elastic curve evolution driven by intrinsic Laplacian of curvature. Zbl 1180.65019
Mikula, Karol; Ševčovič, Daniel
2005
Geometrical image segmentation by the Allen-Cahn equation. Zbl 1055.94502
Beneš, Michal; Chalupecký, Vladimír; Mikula, Karol
2004
A direct method for solving an anisotropic mean curvature flow of plane curves with an external force. Zbl 1049.35019
Mikula, Karol; Ševčovič, Daniel
2004
Numerical simulation of dislocation dynamics. Zbl 1163.65309
Minárik, Vojtěch; Kratochvíl, Jan; Mikula, Karol; Beneš, Michal
2004
Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution. Zbl 1065.65105
Handlovičová, Angela; Mikula, Karol; Sgallari, Fiorella
2003
Semi-implicit finite volume scheme for image processing in 3D cylindrical geometry. Zbl 1042.65069
Mikula, Karol; Sgallari, Fiorella
2003
Image processing with partial differential equations. Zbl 1065.94502
Mikula, Karol
2002
Evolution of plane curves driven by a nonlinear function of curvature and anisotropy. Zbl 0980.35078
Mikula, Karol; Sevcovic, Daniel
2001
Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing. Zbl 1013.65094
Mikula, Karol; Ramarosy, Narisoa
2001
Slow and fast diffusion effects in image processing. Zbl 0971.65085
Kacur, Jozef; Mikula, Karol
2001
Adaptivity in 3D image processing. Zbl 0996.65104
Bänsch, Eberhard; Mikula, Karol
2001
The boundary element method applied to the determination of the global quasigeoid. Zbl 1056.86500
Čunderlík, R.; Mikula, K.; Mojzeš, M.
2001
An adaptive finite volume method in processing of color images. Zbl 1012.35002
Krivá, Zuzana; Mikula, Karol
2001
Solution of nonlinearly curvature driven evolution of plane curves. Zbl 0938.65145
Mikula, Karol; Ševčovič, Daniel
1999
Simulation of anisotropic motion by mean curvature – comparison of phase field and sharp interface approaches. Zbl 0963.80004
Beneš, M.; Mikula, K.
1998
Numerical solution of parabolic equations related to level set formulation of mean curvature flow. Zbl 0912.68210
Handlovičová, Angela; Mikula, Karol; Sarti, Alessandro
1998
A coarsening finite element strategy in image selective smoothing. Zbl 0971.65084
Bänsch, Eberhard; Mikula, Karol
1997
Solution of nonlinear curvature driven evolution of plane convex curves. Zbl 0877.65068
Mikula, Karol
1997
Evolution of convex plane curves describing anisotropic motions of phase interfaces. Zbl 0868.35063
Mikula, Karol; Kačur, Jozef
1996
Solution of nonlinear diffusion appearing in image smoothing and edge detection. Zbl 0823.65089
Kačur, Jozef; Mikula, Karol
1995
Numerical solution of nonlinear diffusion with finite extinction phenomenon. Zbl 0852.35080
Mikula, K.
1995
all top 5

#### Cited by 309 Authors

 31 Mikula, Karol 14 Frolkovič, Peter 12 Beneš, Michal 11 Kim, Junseok 9 Li, Yibao 8 Garcke, Harald 8 Ševčovič, Daniel 7 Sgallari, Fiorella 6 Handlovičová, Angela 6 Jeong, Darae 5 Barrett, John W. 5 Droniou, Jérôme 5 Morigi, Serena 5 Nürnberg, Robert 5 Reichel, Lothar 5 Remešiková, Mariana 5 Wei, Guowei 5 Yazaki, Shigetoshi 4 Basara, Branislav 4 Dehghan Takht Fooladi, Mehdi 4 Hahn, Jooyoung 4 Jacobs, Byron A. 4 Lee, Hyun Geun 4 Medl’a, Matej 4 Oberhuber, Tomás 4 Peyriéras, Nadine 4 Yi, Dokkyun 3 Chen, Zhan 3 Choi, Yongho 3 Čunderliḱ, Róbert 3 Eymard, Robert 3 Herbin, Raphaèle 3 Kim, Hyundong 3 Kolář, Miroslav 3 Lee, Chaeyoung 3 Strachota, Pavel 3 Urbán, Jozef 3 Weng, Zhifeng 3 Yang, Junxiang 2 Aizinger, Vadym 2 Andreianov, Boris 2 Baker, Nathan A. 2 Balazovjech, Martin 2 Bendahmane, Mostafa 2 Benninghoff, Heike 2 Blank, Luise 2 Bungert, Leon 2 Chen, Yaoyao 2 Dechaumphai, Pramote 2 Drblíková, Olga 2 Huang, Yunqing 2 Insall, R. H. 2 Kacur, Jozef 2 Kim, Eunyoun 2 Krivá, Zuzana 2 Lantarón, Sagrario 2 Lee, Dongsun 2 Lee, June-Yub 2 Llanas, Bernardo 2 Mackenzie, John A. 2 Momoniat, Ebrahim 2 Novysedlák, Peter 2 Phongthanapanich, Sutthisak 2 Prasath, V. B. Surya 2 Sarbu, Lavinia 2 Špir, Róbert 2 Vorotnikov, Dmitry A. 2 Wehner, Christian 2 Wittum, Gabriel 2 Yi, Nianyu 2 Zhai, Shuying 2 Zhang, Tong 1 Abad, J. O. 1 Abdollahi, Amir 1 Abedian, Rooholah 1 Adibi, Hojatollah 1 Ahmadian, Davood 1 Alvarez, Luis F. 1 Ambroz, Martin 1 Arias, Irene 1 Avenel, Christophe 1 Barbu, Tudor 1 Bates, Peter W. 1 Becker, Jörg D. 1 Berger, Marsha J. 1 Bernauer, Martin K. 1 Bertaccini, Daniele 1 Bourgine, Paul 1 Brachet, Matthieu 1 Bradji, Abdallah 1 Bruhn, Andrés 1 Cao, Yong 1 Carlini, Elisabetta 1 Chabiniok, Radomír 1 Chalupecký, Vladimír 1 Chan, Kap Luk 1 Chehab, Jean-Paul 1 Chen, Huanzhen 1 Choi, Booyong 1 Chung, Tsz Shun Eric ...and 209 more Authors
all top 5

#### Cited in 67 Serials

 16 Kybernetika 14 Applied Numerical Mathematics 13 Applied Mathematics and Computation 11 Journal of Computational and Applied Mathematics 10 Computers & Mathematics with Applications 10 Journal of Scientific Computing 9 Journal of Computational Physics 7 Computing and Visualization in Science 5 Journal of Mathematical Imaging and Vision 5 Discrete and Continuous Dynamical Systems. Series S 4 Numerische Mathematik 4 Applications of Mathematics 4 SIAM Journal on Scientific Computing 4 Advances in Computational Mathematics 3 Numerical Methods for Partial Differential Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Mathematical Problems in Engineering 2 Computer Physics Communications 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 BIT 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 2 Abstract and Applied Analysis 2 Computational Geosciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Physica A 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 International Journal of Computer Vision 1 Engineering Analysis with Boundary Elements 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Acta Mechanica Sinica 1 Inverse Problems and Imaging 1 GEM - International Journal on Geomathematics 1 JSIAM Letters 1 Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana 1 SMAI Journal of Computational Mathematics
all top 5

#### Cited in 25 Fields

 146 Numerical analysis (65-XX) 102 Partial differential equations (35-XX) 36 Information and communication theory, circuits (94-XX) 27 Differential geometry (53-XX) 27 Computer science (68-XX) 22 Fluid mechanics (76-XX) 22 Biology and other natural sciences (92-XX) 12 Mechanics of deformable solids (74-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX)