Books

  1. M. Slodička. Exercises for Mathematical Analysis I. ACCO, Leuven, 2007, ISBN 978 90 334 6713 4, 76 pages.
  2. M. Slodička. Finite Element Method. Comenius University, Bratislava, 2001, ISBN 80-223-1543-5, 140 pages.
  3. J. Babušíková, M. Slodička, and J. Weisz. Numerical Methods. Comenius University, Bratislava, 2000, ISBN 80-223-1384-X, 120 pages.
  4. H. Gerke, U. Hornung, Y. Kelanemer, M. Slodička, and S. Schumacher. Optimal Control of Soil Venting: Mathematical Modeling and Applications. ISNM 127, Birkhäuser, 1999, ISBN 3-7643-6041-0, 168 pages. Info

Editor of Proceedings

  1. M. Slodička, K. Van Bockstal, I.S. Pop, Ch. Geuzaine and R.H. De Staelen (Eds). Special issue of the Computers & Mathematics with Applications 77(6):1423-1798, 2019. ISSN: 0898-1221. Seventh International Conference on Advanced Computational Methods in Engineering, Ghent University, Belgium, 18-22 September 2017.
  2. M. Slodička and Karel Van Bockstal (Eds). ACOMEN Book of Abstracts, ISBN: 978-94-6197-560-7 Seventh international conference on advanced computational methods in engineering, Ghent University, Belgium, 18-22 September 2017.
  3. M. Slodička, R.H. De Staelen and Ch.Geuzaine (Eds). Special issue of the J. Comp. Appl. Math. 289(1 December):1-440, 2015. ISSN: 0377-0427. Sixth International Conference on Advanced Computational Methods in Engineering (ACOMEN 2014), 24-27 June 2014, Ghent, Belgium.
  4. R.H. De Staelen and M. Slodička (Eds). ACOMEN Book of Abstracts, ISBN: 978-9-08223-090-1 . Sixth international conference on advanced computational methods in engineering, Ghent University, Belgium, 23-28 June 2014.
  5. M. Hogge, R. Van Keer, E. Dick, B. Malengier, M. Slodička, E. Béchet, Ch. Geuzaine, L. Noels, and J.-F. Remacle (Eds). ACOMEN 2011, ISBN 978-2-9601143-1-7. Fifth international conference on advanced computational methods in engineering, Université de Liége, Belgium, 14 - 17 November 2011.
  6. P. Šolín, D. Kuzmin, D. Svyatskiy and M. Slodička (Eds). Special issue of the J. Comp. Appl. Math. 233(12), 2010, pp. 3075-3200, ISSN: 0377-0427. FEMTEC 2009, Conference on Finite Element Methods in Engineering and Science, Granlibakken Conference Center, Lake Tahoe, U.S.A. January 5-9, 2009.
  7. E. Dick, J. Vierendeels, L. Vandevelde, L. Dupré, M. Slodička, and R. Van Keer (Eds). Special issue of the J. Comp. Appl. Math. 215(2), 2008, pp. 303-642, ISSN: 0377-0427. ACOMEN 2005, Third international conference on advanced computational methods in engineering. 30 May - 2 June 2005, Ghent University, Belgium.

Theses

  1. M. Slodička. Some Finite Elements Schemes Arising in Modeling of Flow through Porous Media. Mathematisch-Naturwissenschaftlichen Fakultät der Universität Augsburg, Deutschland, 1999. Habilitation Thesis
  2. M. Slodička. Application of Rothe's method to evolution integrodifferential systems. Faculty of Mathematics and Physics, Comenius University, Bratislava, Slovakia, 1988. Ph.D. Thesis
  3. M. Slodička. Parabolic partial differential equations with memory. Faculty of Mathematics and Physics, Comenius University, Bratislava, Slovakia, 1981. Diploma Thesis

Papers

  1. M. Slodička. Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators. Inverse Problems, 38(12):124001, oct 2022.
  2. M. Slodička. On a semilinear parabolic problem with non-local (Bitsadze-Samarskii type) boundary conditions in more dimensions. Communications in Nonlinear Science and Numerical Simulation, 113(106575), 2022.
  3. V. Ch. Le, M. Slodička and K. Van Bockstal. A space-time discretization for an electromagnetic problem with moving non-magnetic conductor. Applied Numerical Mathematics, 173:345-364, 2022.
  4. V. Ch. Le, M. Slodička and K. Van Bockstal. Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece. Communications in Nonlinear Science and Numerical Simulation, 107(106156), 2022.
  5. V. Ch. Le, M. Slodička and K. Van Bockstal. A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body. Applied Mathematics Letters, 124(107660), 2022.
  6. M. Slodička. On a semilinear parabolic problem with four-point boundary conditions. Mathematics, 9(5):468, 2021.
  7. V. Ch. Le, M. Slodička and K. Van Bockstal. Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. Computers & Mathematics with Applications, 87:27-40, 2021.
  8. V. Ch. Le, M. Slodička and K. Van Bockstal. A time discrete scheme for an electromagnetic contact problem with moving conductor. Applied Mathematics and Computation, 404:125997, 2021.
  9. M. Slodička. Parabolic problem for moving/evolving body with perfect contact to neighborhood. JCAM, 391(113461), 2021.
  10. M. Slodička. Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation. Fractional Calculus and Applied Analysis, 23(6):1702-1711, 2020.
  11. F. Maes, and M. Slodička. Some inverse source problems of determining a space dependent source in fractional-dual-phase-lag type equations. Mathematics, 8(8):1291, 2020.
  12. M. Slodička. Uniqueness for an inverse source problem of determining a space dependent source in a non-autonomous parabolic equation. Applied Mathematics Letters, 107(106395), 2020.
  13. M. Slodička, K. Šišková and K. Van Bockstal. Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation. Applied Mathematics Letters, 91:15-21, 2019.
  14. K. Šišková and M. Slodička. Identification of a source in a fractional wave equation from a boundary measurement. JCAM, 349:172-186, 2019.
  15. G. Baravdish, I. Borachok, R. Chapko, B.T. Johansson, and M. Slodička. An iterative method for the Cauchy problem for second-order elliptic equations. International Journal of Mechanical Sciences, (142-143):216-223, 2018.
  16. K. Šišková and M. Slodička. A source identification problem in a time-fractional wave equation with a dynamical boundary condition. Computers & Mathematics with Applications, 75(12):4337-4354, 2018.
  17. J. Chovan and M. Slodička. Reconstruction of a time dependent source term from a single boundary measurment in Maxwell's equations with nonlinear generalized Ohm's law JCAM, 334:58-76, 2018.
  18. K. Van Bockstal, M. Slodička and F. Gistelinck. Identification of a memory kernel in a nonlinear integrodifferential parabolic problem. Applied Numerical Mathematics, 120:305-323, 2017.
  19. K. Šišková and M. Slodička. Recognition of a time-dependent source in a time-fractional wave equation. Applied Numerical Mathematics, 121:1-17, 2017.
  20. M. Grimmonprez and M. Slodička. Error estimates for the full discretization of a semilinear parabolic problem with an unknown source. Mathematics and Computers in Simulation, 142:15-33, 2017.
  21. M. Slodička and J. Chovan. Solvability for induction hardening including nonlinear magnetic field and controlled joule heating. Applicable Analysis, 96(16):2780-2799, 2017.
  22. J. Chovan, Ch. Geuzaine and M. Slodička. A-φ formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field. Computer Methods in Applied Mechanics and Engineering, 321:294-315, 2017.
  23. J. Chovan and M. Slodička. Induction hardening of steel with restrained joule heating and nonlinear law for magnetic induction field: Solvability. JCAM, 311:630-644, 2017.
  24. M. Slodička and L. Šeliga. Identification of memory kernels in hyperbolic problems. JCAM, 311:618-629, 2017.
  25. M. Slodička and V. Vrábeľ. Existence and uniqueness of a solution for a field/circuit coupled problem. ESAIM: Mathematical Modelling and Numerical Analysis, 51:1045-1061, 2017.
  26. M. Grimmonprez, K. Van Bockstal and M. Slodička. Error estimates for the time discretization of a semilinear integrodifferential parabolic problem with unknown memory kernel. Numerical Mathematics: Theory, Methods and Applications, 10(1):114-142, 2017.
  27. K. Van Bockstal, and M. Slodička. Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III. Inverse Problems in Science and Engineering, 25(5):749-770, 2017.
  28. M. Slodička and K. Šišková. An inverse source problem in a semilinear time-fractional diffusion equation. Computers & Mathematics with Applications, 72:1655-1669, 2016.
  29. M. Slodička and M. Galba. Determination of a time-dependent convolution kernel from a boundary measurement in nonlinear Maxwell's equations. Computers & Mathematics with Applications, 72:1484-1500, 2016.
  30. M. Slodička and B.T. Johansson. Uniqueness and counterexamples in some inverse source problems. Applied Mathematics Letters, 58:56-61, 2016.
  31. M. Slodička and M. Galba. Recovery of a time dependent source from a surface measurement in Maxwell's equations. Computers & Mathematics with Applications, 71:368-380, 2016.
  32. M. Slodička and L. Šeliga. Determination of a time-dependent convolution kernel in a nonlinear hyperbolic equation. Inverse Problems in Science and Engineering, 24(6):1011-1029, 2016.
  33. L. Šeliga and M. Slodička. An inverse source problem for a damped wave equation with memory. Journal of Inverse and Ill-posed Problems, 24(2):111-122, 2016.
  34. M. Grimmonprez and M. Slodička. Full discretization of a nonlinear parabolic problem containing Volterra operators and an unknown Dirichlet boundary condition. Numer. Methods Partial Differ. Equations, 31(5):1444-1460, 2015.
  35. K. Van Bockstal, R.H. De Staelen and M. Slodička. Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory. JCAM, 289:196-207, 2015.
  36. M. Slodička. A parabolic inverse source problem with a dynamical boundary condition. Applied Mathematics and Computation, 256:529-539, 2015.
  37. M. Grimmonprez and M. Slodička. Reconstruction of an unknown source parameter in a semilinear parabolic problem. JCAM, 289:331-345, 2015.
  38. K. Van Bockstal and M. Slodička. A macroscopic model for an intermediate state between type-I and type-II superconductivity. Numer. Methods Partial Differ. Equations, 31(5):1551-1567, 2015.
  39. M. Slodička. Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements. JCAM, 289:433-440, 2015.
  40. R.H. De Staelen and M. Slodička. Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement. Nonlinear Analysis Series A: Theory, Methods & Applications, 112:43-57, 2015.
  41. K. Van Bockstal and M. Slodička. Recovery of a space-dependent vector source in thermoelastic systems. Inverse Problems in Science and Engineering, 23(6):956-968, 2015.
  42. K. Van Bockstal and M. Slodička. The well-posedness of a nonlocal hyperbolic model for type-I superconductors. J. Math. Anal. and Appl., 421(1):697-717, 2015.
  43. R.H. De Staelen, K. Van Bockstal and M. Slodička. Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination. JCAM, 275:382-391, 2015.
  44. M. Grimmonprez and M. Slodička. A nonlinear parabolic integro-differential problem with an unknown Dirichlet boundary condition. JCAM, 275:421-432, 2015.
  45. K. Van Bockstal and M. Slodička. Determination of a time-dependent diffusivity in a nonlinear parabolic problem. Inverse Problems in Science and Engineering, 23(2):307-330, 2015.
  46. K. Van Bockstal and M. Slodička. Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors. JCAM, 275:516-526, 2015.
  47. M. Slodička and K. Van Bockstal. A nonlocal parabolic model for type-I superconductors. Numer. Methods Partial Differ. Equations, 30(6):1821-1853, 2014.
  48. V. Zemanová and M. Slodička. Quasi-static Maxwell's equations with a dissipative non-linear boundary condition: Full discretization. J. Math. Anal. and Appl., 418:31-46, 2014.
  49. M. Slodička. Some uniqueness theorems for inverse spacewise dependent source problems in nonlinear PDEs. Inverse Problems in Science and Engineering, 22(1):2-9, 2014.
  50. S. D'haeyer, B.T. Johansson and M. Slodička. Reconstruction of a spacewise dependent heat source in a time-dependent heat diffusion process. IMA Journal of Applied Mathematics , 79(1):33-53, 2014.
  51. V. Vrábeľ and M. Slodička. Nonlinear parabolic equation with a dynamical boundary condition of diffusive type. Applied Mathematics and Computation, 222:372-380, 2013.
  52. M. Slodička. A source identification problem in linear parabolic problems: Semigroup approach. Journal of Inverse and Ill-posed Problems, 21(4):579-600, 2013.
  53. R.H. De Staelen, G. Crevecoeur, T. Goessens, and M. Slodička. Bayesian inference in the uncertain EEG problem including local information and a sensor correlation matrix. JCAM, 252:177-182, 2013.
  54. V. Vrábeľ and M. Slodička. Nonlinear diffusion problem with dynamical boundary value. JCAM, 246:94-103, 2013.
  55. K. Van Bockstal and M. Slodička. Determination of an unknown diffusion coefficient in a parabolic problem. JCAM, 246:104-112, 2013.
  56. A. Hasanov and M. Slodička. An analysis of inverse source problems with final time measured output data for the heat conduction equation: A semigroup approach. Applied Mathematics Letters, 26(2):207-214, 2013.
  57. L. Baňas, A. Prohl and M. Slodička. Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording. JCAM, 236(18):4775-4787, 2012.
  58. P. Putek, M. Slodička, P. Paplicki and R. Palka. Minimization of cogging torque in permanent magnet machines using the topological gradient and adjoint sensitivity in multi-objective design. International journal of applied electromagnetics and mechanics, 39(1-4):933-940, 2012.
  59. S. Durand and M. Slodička. Convergence of the mixed finite element method for Maxwell's equations with nonlinear conductivity. Mathematical methods in the applied sciences, 35(13):1489-1504, 2012.
  60. P. Putek, P. Paplicki, M. Slodička, M. Palka, and R. Van Keer . Application of topological gradient and continuum sensitivity analysis to the multi-objective design optimization of a permanent-magnet excited synchronous machine. Electrical reviews, 88(7a), 2012.
  61. P. Putek, G. Crevecoeur, M. Slodička, R. Van Keer, B. Van De Wiele and L. Dupré. Space mapping methodology for defect recognition in eddy current testing - type NDT. COMPEL, 31(3):881-894, 2012 .
  62. V. Vrábeľ and M. Slodička. An eddy current problem with a nonlinear evolution boundary condition. J. Math. Anal. and Appl., 387(1):267-283, 2012.
  63. P. Putek, G. Crevecoeur, M. Slodička, K.M. Gawrylczyk, R. Van Keer, and L. Dupré. Two-level approach for solving the inverse problem of defects identification in eddy current testing - type NDT. Archives of Electrical Engineering, 60(4):497-518, 2011.
  64. S. Durand and M. Slodička. Fully discrete finite element method for Maxwell's equations with nonlinear conductivity. IMAJNA, 31(4):1713-1733, 2011.
  65. M. Slodička. Semilinear parabolic problems with nonlocal Dirichlet boundary conditions. Inverse Problems in Science and Engineering, 19(5):705-716, 2011.
  66. M. Slodička and S. Durand. Fully discrete finite element scheme for Maxwell's equations with non-linear boundary condition. Journal of Mathematical Analysis and Applications, 375:230-244, 2011.
  67. M. Slodička and V. Melicher. An iterative algorithm for a Cauchy problem in eddy-current modelling. Applied Mathematics and Computation, 217(1):237-246,2010.
  68. M. Slodička and J. Buša, Jr. Div-curl lemma revisited: Applications in electromagnetism. Kybernetika, 46(2):328-340, 2010.
  69. M. Slodička and A. Balážová. Decomposition method for solving multi-species reactive transport problems coupled with first-order kinetics applicable to a chain with identical reaction rates. JCAM, 234(4):1069-1077, 2010.
  70. V. Zemanová, M. Slodička and L. Dupré. Determination of a material constant in the impedance boundary condition for electromagnetic fields. JCAM, 234:2062-2068, 2010.
  71. E. Janíková and M. Slodička. Fully discrete linear approximation scheme for electric field diffusion in type-II superconductors. JCAM, 234:2054-2061, 2010.
  72. S.Durand and M. Slodička. A numerical scheme for the Maxwell equations in the quasi-static regime with a non-local source. JCAM, 233(12):3157-3166, 2010.
  73. M. Slodička and S. Dehilis. A nonlinear parabolic equation with a nonlocal boundary term. JCAM, 233(12):3130-3138, 2010.
  74. M. Slodička, D. Lesnic and T.T.M. Onyango. Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem. Inverse Problems in Science and Engineering, 18(1):65-81,2010.
  75. M. Slodička and S. Dehilis. A numerical approach for a semilinear parabolic equation with a nonlocal boundary condition. JCAM, 231:715-724, 2009.
  76. M. Slodička and D. Lesnic. Determination of the Robin coefficient in a nonlinear boundary condition for a steady state problem. MMAS, 32:1311-1324, 2009.
  77. T.T.M. Onyango, D.B. Ingham, D. Lesnic and M. Slodička. Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements. Mathematics and Computers in Simulation, 79:1577-1584, 2009.
  78. L. Baňas, A. Prohl and M. Slodička. Modeling of thermally assisted magnetodynamics. SINUM , 47(1):551-574, 2008
  79. E. Janíková and M. Slodička. Solution to the eddy-current problem for type-II superconductors by relaxation method. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 1048:286-289, 2008.
  80. V. Zemanová and M. Slodička. Full discretization scheme for linearized quasi-static Maxwell's equations with a non-linear boundary condition. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 1048:621-624, 2008.
  81. M. Slodička and J. Buša, Jr. Error estimates for the time discretization for nonlinear Maxwell's equations. Journal of Computational Mathematics, 26(5):677-688, 2008.
  82. E. Janíková and M. Slodička. A robust linearization scheme for nonlinear diffusion in type-II superconductors. Applied Mathematical Modelling, 32(10):1933-1940, 2008.
  83. M. Slodička and V. Zemanová . Time discretization scheme for quasi-static Maxwell's equations with a non-linear boundary condition. JCAM, 216(2):514-522, 2008.
  84. M. Slodička and E. Janíková. Convergence of the backward Euler method for type-II superconductors. J. Math. Anal. and Appl. , 342:1026-37, 2008.
  85. M. Slodička. Nonlinear diffusion in type-II superconductors. JCAM, 215(2):568-576, 2008.
  86. M. Slodička and A. Balážová. Singular value decomposition method for multi-species first-order reactive transport with identical decay rates. Transport in Porous Media, 73(2):161-172, 2008.
  87. B. Baert, E. Deconcinck, M. Van Gele, M. Slodička, P. Stoppie, S. Bodé, G. Slegers, Y. Vander Heyden, J. Lambert, J. Beetens and B. De Spiegeleer. Transdermal penetration behaviour of drugs: CART-clustering, QSPR and selection of model compounds. Bioorganic & Medicinal Chemistry , 15(22):6943-6955, 2007.
  88. M. Slodička. Estimation of the Michaelis-Menten parameters for reductive dechlorination of chlorinated solvents. Applied Mathematics and Computation, 189: 106-115, 2007.
  89. E. Janíková and M. Slodička. Fix-point linearization schemes for nonlinear steady-state eddy current problems. MMAS, 30(14):1697-1704, 2007.
  90. A. Balážová, M. Slodička and R. Van Keer. Parameter determination for reductive dechlorination of chlorinated solvents. Transport in Porous Media, 65(3):411-424, 2006.
  91. L. Baňas and M. Slodička. Error estimates for Landau-Lifshitz-Gilbert equation with magnetostriction. Appl. Numer. Math., 56:1019-1039, 2006.
  92. V. Melicher and M. Slodička. Boundary data identification for a eddy-current problem on polyhedra: numerical approach. Journal of Inverse and Ill-Posed Problems , 14(3):279-293, 2006.
  93. V. Melicher and M. Slodička. Determination of missing boundary data for a steady-state Maxwell problem. Inverse Problems, 22:297-310, 2006.
  94. M. Slodička. A time discretization scheme for a nonlinear degenerate eddy current model for ferromagnetic materials. IMAJNA , 26(1):173-187, 2006.
  95. M. Slodička. A robust linearization scheme for a nonlinear elliptic boundary value problem: Error estimates. ANZIAM, 46:449-470, 2005.
  96. M. Slodička. Approximation of a nonlinear degenerate parabolic equation via a linear relaxation scheme. Numer. Methods Partial Differ. Equations, 21(2):191-212, 2005.
  97. M. Slodička and De Schepper. Determination of the heat-transfer coefficient during solidification of alloys . Computer Methods in Applied Mechanics and Engineering , 194:491-498, 2005.
  98. L. Baňas and M. Slodička. Space discretization for the Landau-Lifshitz-Gilbert equation with magnetostriction . Computer Methods in Applied Mechanics and Engineering , 194:467-477, 2005.
  99. M. Slodička and I. Cimrák. Improved error estimates for a Maxwell-Landau-Lifschitz system. PAMM, 4(1):71-74, 2004.
  100. M. Slodička. A numerical procedure for analysing soil venting wells. Transport in Porous Media, 57(3):297-312, 2004.
  101. M. Slodička and L. Baňas. A numerical scheme for a Maxwell-Landau-Lifshitz-Gilbert system. Applied Mathematics and Computation, 158:79-99, 2004.
  102. I. Cimrák and M. Slodička. An iterative approximation scheme for the Landau-Lifshitz-Gilbert equation. JCAM, 169:17-32, 2004.
  103. M. Slodička. An approximation scheme for a nonlinear degenerate parabolic equation with a second-order differential Volterra operator. JCAM, 168(447-458), 2004.
  104. L. Dupré and M. Slodička. Inverse problem for magnetic sensors based on a Preisach formalism. IEEE Transactions on Magnetics, 40(2):1120-1123, 2004
  105. I. Cimrák and M. Slodička. Optimal convergence rate for Maxwell-Landau-Lifschitz system. Physica B: Condensed Matter, 343(1-4):236-240, 2004.
  106. M. Slodička and R. Van Keer. A numerical approach for the determination of a missing boundary data in elliptic problems. Applied Mathematics and Computation, 147: 569-580, 2004.
  107. M. Slodička and I. Cimrák. Numerical study of nonlinear ferromagnetic materials. Appl. Numer. Math., 46(1):95-111,2003.
  108. M. Slodička. Semilinear parabolic problem with nonstandard boundary conditions: Error estimates. Numer. Methods Partial Differ. Equations, 19(2):167-191, 2003.
  109. M. Slodička. Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates. Applications of Mathematics, 48(1):49-66, 2003.
  110. M. Slodička and H. De Schepper. A nonlinear boundary value problem containing nonstandard boundary conditions. Applied Mathematics and Computation, 132(2-3):559-574, 2002.
  111. M. Slodička and H. De Schepper. On an inverse problem of pressure recovery arising from soil venting facilities. Applied Mathematics and Computation, 129(2-3):469-480, 2002.
  112. M. Slodička. A robust and efficient linearization scheme for doubly nonlinear and degenerate parabolic problems arising in flow in porous media. SIAM J. Sci. Comput., 23(5):1593-1614, 2002.
  113. M. Slodička and R. Van Keer. Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements. Inverse Problems, 18:139-152, 2002.
  114. M. Slodička. Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition. M2AN, Math. Model. Numer. Anal., 35(4):691-711, 2001.
  115. M. Slodička and R. Van Keer. A nonlinear elliptic equation with a nonlocal boundary condition solved by linearization. International Journal of Applied Mathematics, 6(1):1-22, 2001.
  116. R. Van Keer and M. Slodička. Numerical techniques for the recovery of an unknown Dirichlet data function in semilinear parabolic problems with nonstandard boundary conditions. Numerical Analysis and Its Applications, 1988:467-474, 2001.
  117. H. De Schepper and M. Slodička. Recovery of the boundary data for a linear 2nd order elliptic problem with a nonlocal boundary condition. ANZIAM Journal. 42(E):C518-C535, 2000.
  118. M. Slodička. Finite elements in modeling of flow in porous media: How to describe wells. Acta Mathematica Universitatis Comenianae. LXVII(1):197-214, 1998.
  119. S. Schumacher, M. Slodička and U. Jaekel. Well modeling and estimation of hydraulic parameters. Computational Geosciences. 1(3,4):317-331,1997.
  120. S. Schumacher and M. Slodička. Effective radius and underpressure of an air extraction well in a heterogeneous porous medium. Transport in Porous Media. 29(3):323-340, 1997.
  121. M. Slodička. Mathematical treatment of point sources in a flow through porous media governed by Darcy's law. Transport in Porous Media. 28(1):51-67, 1997.
  122. M. Slodička. Numerical solution of a parabolic equation with a weakly singular positive-type memory term. Electronic Journal of Differential Equations, 1997(9):1-12, 1997.
  123. M. Slodička. Semigroup formulation of Rothe's method: Application to parabolic problems. Commentationes Mathematicae Universitatis Carolinae, 33(2):245-260, 1992.
  124. M. Slodička. On the Rothe-Galerkin method for a class of parabolic integrodifferential problems. Matematicheskoe Modelirovanie, 3(5):12-25, 1991.
  125. M. Slodička. Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data. Commentationes Mathematicae Universitatis Carolinae, 32(4):703-713, 1991.
  126. M. Slodička. An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation. Aplikace matematiky, 35(1):16-27, 1990.
  127. M. Slodička. Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the Lp-space. Aplikace matematiky, 34(6):439-448, 1989.
  128. M. Slodička. Smoothing effect and regularity for evolution integrodifferential systems. Commentationes Mathematicae Universitatis Carolinae, 30(2):303-316, 1989.
  129. M. Slodička. Application of Rothe's method to evolution integrodifferential systems. Commentationes Mathematicae Universitatis Carolinae, 30(1):57-70, 1989.
  130. M. Slodička. About weak solution of a system of quasilinear integrodifferential evolution equations. Comm. JINR, P5-87-765. JINR Dubna Russia, (Russian), 1987.
  131. M. Slodička. Parabolic partial differential equations with memory. Mathematica Slovaca, 34(1):3-23, 1984.

Proceedings

  1. M. Slodička . Recovery of boundary conditions in heat transfer. In O. Fudym, J.-L. Battaglia, and G.S. Dulikravich et al., editors: IPDO 2013 : 4th Inverse problems, design and optimization symposium, 2013 June 26-28, Albi, Ecole des Mines d'Albi-Carmaux, 10p, 2013, ISBN 979-10-91526-01-2.
  2. E. Janíková and M. Slodička . Solution to the eddy-current problem for type-II superconductors by relaxation method. In Theodore E. Simos and et al., editors: International Conference on Numerical Analysis and Applied Mathematics 2008 , pp. 286-289 , New York, 2008. Melville, ISBN 978-0-7354-0576-9.
  3. V. Zemanová and M. Slodička . Full discretization scheme for linearized quasi-static Maxwell's equations with a non-linear boundary condition. In Theodore E. Simos and et al., editors: International Conference on Numerical Analysis and Applied Mathematics 2008 , pp. 621-624, New York, 2008. Melville, ISBN 978-0-7354-0576-9.
  4. A. Balážová, M. Slodička, M. Van Camp and K. Walraevens. Modelling of reactive contaminant transport of chlorinated solvents.. In: ModelCARE 2005, pp. 555-559, Fifth International Conference on Calibration and Reliability in Groundwater Modelling, The Hague (Scheveningen), The Netherlands, 6-9 June 2005.
  5. A. Balážová and M. Slodička. Simulation of reactive contaminant transport of chlorinated solvents.. In: A. Handlovicova, Z. Kriva, K. Mikula, and D. Sevcovic, (eds.), Algoritmy 2005, pp. 167-174, Bratislava, 2005. Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. ISBN: 80-227-2192-1.
  6. M. Slodička. Comprehensive models for wellss. In: I.M. Davis, O. Hassan, N. Jacob, K. Morgan, A. Truman, and N.P. Weatherill, (eds.), Probabilistic methods in fluids, pp. 272-286, Singapore, 2003. World Scientific. Proceedings of Swansea 2002 Workshop, ISBN 981-238-226-7.
  7. I. Cimrák and M. Slodička. A second order approximation scheme for the micromagnetic Landau-Lifshitz equation. In: M. Kocandrlova and V. Kelar, (eds.), Mathematical and computer modelling in science and engineering, pp.75-79, Czech Technical University, Prague, 2003, ISBN: 80-7015-912-X.
  8. M. Slodička. Mixed finite element method for nonlinear second-order elliptic problems: Relaxation scheme.. In: A. Handlovicova, Z. Kriva, K. Mikula, and D. Sevcovic, (eds.), Algoritmy 2002, pp. 49-57, Bratislava, 2002. Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. ISBN: 80-227-1750-9.
  9. M. Slodička and R. Van Keer. Recovery of the convective transfer coefficient in parabolic problems from a nonstandard boundary condition. In N.Mastorakis (ed.): Recent Advances in Applied and Theoretical Mathematics, pp. 209-213, WSES Press, 2000, ISBN: 960-8052-21-1.
  10. M. Slodička and R. Van Keer. Determination of the convective transfer coefficient in elliptic problems from a nonstandard boundary condition. In: J. Maryska, M. Tuma, and J. Sembera (eds.), Simulation, modelling, and numerical analysis, SIMONA 2000, pp.13-20, Technical University of Liberec, Liberec, 2000, ISBN: 80-7083-451-X.
  11. M. Slodička. A monotone linear approximation of a nonlinear elliptic problem with a non-standard boundary condition. In: A. Handlovicová, M. Komorníková, K. Mikula, and D. Sevcovic (eds.), Algoritmy 2000, pp. 47-57, Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, Bratislava, ISBN: 80-227-1391-0
  12. R. Van Keer and M. Slodička. Numerical modelling for the recovery of an unknown flux in semilinear parabolic problems with nonstandard boundary conditions. In: E. Onate, and G. Bugeda, and B. Suárez (eds.), Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona, ECCOMAS, 2000, ISBN: 84-89925-70-4.
  13. H. De Schepper and M. Slodička. Modelling of pressure of a given shape from discharges at active wells by soil venting facilities. In: E. Onate, and G. Bugeda, and B. Suárez (eds.), Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona, ECCOMAS, 2000, ISBN: 84-89925-70-4.
  14. E. Holban, U. Hornung, Y. Kelanemer and M. Slodička. Standard and mixed finite elements: A comparison and applications in hydrology. In R. Van Keer, B. Verhegghe, M. Hogge and E. Noldus, editors, Advanced Computational Methods in Engineering, pages 629-638, Shaker Publishing B.V., Maastricht, The Netherlands, 1998, ISBN: 90-423-0055-8
  15. U. Hornung, H. Gerke, Y. Kelanemer, S. Schumacher, M. Slodička and D. Stegemann. Optimierung von Anlagen zur Bodenluftabsaugung. In K.-H. Hoffmann, W. Jäger, T. Lohmann and H. Schunck, editors, Mathematik - Schlüsseltechnologie für die Zukunft, pages 205-218, Berlin, Heidelberg, New York, 1997. Springer.
  16. U. Hornung, Y. Kelanemer and M. Slodička. Soil venting. In K. Malanowski, Z. Nahorski and Peszynska M., editors, Modelling and Optimization of Distributed Parameter Systems, pages 51-70, London, 1996. CHAPMAN & HALL.
  17. S. Schumacher and M. Slodička. Bacterial growth and bioremediation. In F. Keil, W. Mackens, H. Voß and J. Werther, editors, Scientific computing in chemical engineering, pages 205-211. Springer, 1996.
  18. M. Slodička. Solution of nonlinear parabolic problems by linearization. Proceedings of International Symposium on Numerical Analysis ISNA'92, Part III - contributed papers, pp. 256-268. Faculty of Mathematics and Physics, Charles University, Prague, 1992. (=Preprint M3-92. Faculty of Math. and Physics, Comenius University, Bratislava Slovakia.)
  19. M. Slodička. Error estimate of fully discrete approximate solution of a system of quasilinear integrodifferential evolution equations. In E.P. Zhidkov, G. Németh, and Yu.Yu. Lobanov, editors, Algorithms and programs for solution of some problems in physics, volume 6, pages 91-107. KFKI-1989-62/M, Budapest Hungary, 1989. (Russian).

Preprints/Technical reports

  1. A. Lehmann, H. Gerke, Y. Kelanemer, S. Schumacher and M. Slodička. Optimierung von Anlagen zur Absaugung der Bodenluft bei der Sanierung von Schadensfällen mit leichtflüchtigen halogenierten Kohlenwasserstoffen (LHKW-Absaugung). Bericht, BMBF-Projekt H07BWM, UniBwM Neubiberg, Deutschland, 1997.
  2. V. Maz`ya and M. Slodička. Some time-marching algorithms for semi-linear parabolic equations based upon approximate approximations. Preprint LiTH-MAT-R-93-38,1993. Department of Mathematics, Linköping University, Linköping Sweden.
  3. M. Slodička. Nonlinear diffusion with singular memory terms. Preprint M3-93,1993. Faculty of Math. and Physics, Comenius University, Bratislava Slovakia.
  4. M. Slodička. On a numerical approach to nonlinear degenerate parabolic problems. Preprint M6-92,1992. Faculty of Math. and Physics, Comenius University, Bratislava Slovakia.
  5. M. Slodička. Error estimate for discretization in time to nonhomogeneous parabolic equations with rough initial data. Preprint E5-90-212,1990. JINR Dubna Russia.
  6. M. Slodička. Error estimates for discretization in time to linear homogeneous parabolic equations with nonsmooth initial data. Preprint E5-90-8, 1990. JINR Dubna Russia.




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