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van Bockstal, Karel

Author ID:
van-bockstal.karel Recent zbMATH articles by "van Bockstal, Karel"
Published as:
Van Bockstal, Karel;Van Bockstal, K.;van Bockstal, Karel;van Bockstal, K.
alltop 5

Serials

5 Journal of Computational and Applied Mathematics
4 Computers \& Mathematics with Applications
3 Applied Mathematics Letters
3 Inverse Problems in Science and Engineering
2 Journal of Mathematical Analysis and Applications
2 Applied Numerical Mathematics
2 Numerical Methods for Partial Differential Equations
2 Journal of Inverse and Ill-Posed Problems
2 Fractional Calculus \& Applied Analysis
2 Communications in Nonlinear Science and Numerical Simulation
2 Trends in Mathematics. Research Perspectives Ghent Analysis and PDE Center
1 Computer Methods in Applied Mechanics and Engineering
1 Mathematical Methods in the Applied Sciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Quaestiones Mathematicae
1 Journal of Scientific Computing
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Advances in Difference Equations
1 Numerical Mathematics: Theory, Methods and Applications

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 221 times in144 DocumentsCited byYear
Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation. Zbl 1409.35237
Slodička, Marián;Šišková, Katarína;Van Bockstal, Karel
2019
Recovery of a space-dependent vector source in thermoelastic systems. Zbl 1329.65214
Van Bockstal, K.;Slodička, M.
2015
Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order. Zbl 1494.35170
Van Bockstal, Karel
2021
Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination. Zbl 1334.65147
De Staelen, R. H.;Van Bockstal, K.;Slodička, M.
2015
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. Zbl 1496.65143
Van Bockstal, Karel;Zaky, Mahmoud A.;Hendy, Ahmed S.
2022
Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order). Zbl 1450.35282
Van Bockstal, Karel
2020
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay. Zbl 1498.65179
Zaky, M. A.;van Bockstal, K.;Taha, T. R.;Suragan, D.;Hendy, A. S.
2023
Recovery of a space-dependent vector source in anisotropic thermoelastic systems. Zbl 1439.74102
van Bockstal, Karel;Marin, Liviu
2017
Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III. Zbl 1369.74023
Van Bockstal, K.;Slodička, M.
2017
On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions. Zbl 1481.35401
Hendy, A. S.;Van Bockstal, K.
2022
A time discrete scheme for an electromagnetic contact problem with moving conductor. Zbl 1510.78062
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2021
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions. Zbl 07525422
Hendy, A. S.;van Bockstal, K.
2022
The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler-Bernoulli beam. Zbl 1481.65100
Grimmonprez, Marijke;Marin, Liviu;Van Bockstal, Karel
2020
Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory. Zbl 1319.35305
Van Bockstal, K.;De Staelen, R. H.;Slodička, M.
2015
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state. Zbl 1425.74269
Van Bockstal, Karel
2019
Determination of a time-dependent diffusivity in a nonlinear parabolic problem. Zbl 1327.35451
van Bockstal, K.;Slodička, M.
2015
Determination of an unknown diffusion coefficient in a semilinear parabolic problem. Zbl 1262.65120
Van Bockstal, K.;Slodička, M.
2013
Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. Zbl 1524.78078
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2021
Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors. Zbl 1301.35176
Van Bockstal, K.;Slodička, M.
2015
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation. Zbl 1522.35560
Maes, Frederick;Van Bockstal, Karel
2023
A nonlocal parabolic model for type-I superconductors. Zbl 1311.82051
Slodička, Marian;van Bockstal, Karel
2014
Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution. Zbl 1521.35194
van Bockstal, K.;Hendy, A. S.;Zaky, M. A.
2023
A space-time discretization for an electromagnetic problem with moving non-magnetic conductor. Zbl 1483.35237
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2022
Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III. Zbl 1490.74113
van Bockstal, Karel;Marin, Liviu
2022
Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece. Zbl 1483.35244
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2022
On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations. Zbl 1537.35397
Van Bockstal, Karel;Zaky, Mahmoud A.;Hendy, Ahmed
2023
Thermoelastic problem in the setting of dual-phase-lag heat conduction: existence and uniqueness of a weak solution. Zbl 1509.74016
Maes, Frederick;Van Bockstal, Karel
2021
Identification of a memory kernel in a nonlinear integrodifferential parabolic problem. Zbl 1370.65083
Van Bockstal, K.;Slodička, M.;Gistelinck, F.
2017
A numerical scheme for solving an induction heating problem with moving non-magnetic conductor. Zbl 07899273
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2024
On time-fractional partial differential equations of time-dependent piecewise constant order. Zbl 08021910
Kian, Yavar;Slodička, Marián;Soccorsi, Éric;Van Bockstal, Karel
2025
Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems. Zbl 1513.74083
Maes, Frederick;Van Bockstal, Karel
2022
The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method. Zbl 1409.78001
Kang, T.;Van Bockstal, K.;Wang, R.
2018
On time-fractional partial differential equations of time-dependent piecewise constant order. Zbl 08021910
Kian, Yavar;Slodička, Marián;Soccorsi, Éric;Van Bockstal, Karel
2025
A numerical scheme for solving an induction heating problem with moving non-magnetic conductor. Zbl 07899273
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2024
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay. Zbl 1498.65179
Zaky, M. A.;van Bockstal, K.;Taha, T. R.;Suragan, D.;Hendy, A. S.
2023
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation. Zbl 1522.35560
Maes, Frederick;Van Bockstal, Karel
2023
Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution. Zbl 1521.35194
van Bockstal, K.;Hendy, A. S.;Zaky, M. A.
2023
On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations. Zbl 1537.35397
Van Bockstal, Karel;Zaky, Mahmoud A.;Hendy, Ahmed
2023
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. Zbl 1496.65143
Van Bockstal, Karel;Zaky, Mahmoud A.;Hendy, Ahmed S.
2022
On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions. Zbl 1481.35401
Hendy, A. S.;Van Bockstal, K.
2022
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions. Zbl 07525422
Hendy, A. S.;van Bockstal, K.
2022
A space-time discretization for an electromagnetic problem with moving non-magnetic conductor. Zbl 1483.35237
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2022
Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III. Zbl 1490.74113
van Bockstal, Karel;Marin, Liviu
2022
Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece. Zbl 1483.35244
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2022
Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems. Zbl 1513.74083
Maes, Frederick;Van Bockstal, Karel
2022
Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order. Zbl 1494.35170
Van Bockstal, Karel
2021
A time discrete scheme for an electromagnetic contact problem with moving conductor. Zbl 1510.78062
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2021
Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. Zbl 1524.78078
Le, Van Chien;Slodička, Marián;Van Bockstal, Karel
2021
Thermoelastic problem in the setting of dual-phase-lag heat conduction: existence and uniqueness of a weak solution. Zbl 1509.74016
Maes, Frederick;Van Bockstal, Karel
2021
Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order). Zbl 1450.35282
Van Bockstal, Karel
2020
The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler-Bernoulli beam. Zbl 1481.65100
Grimmonprez, Marijke;Marin, Liviu;Van Bockstal, Karel
2020
Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation. Zbl 1409.35237
Slodička, Marián;Šišková, Katarína;Van Bockstal, Karel
2019
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state. Zbl 1425.74269
Van Bockstal, Karel
2019
The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method. Zbl 1409.78001
Kang, T.;Van Bockstal, K.;Wang, R.
2018
Recovery of a space-dependent vector source in anisotropic thermoelastic systems. Zbl 1439.74102
van Bockstal, Karel;Marin, Liviu
2017
Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III. Zbl 1369.74023
Van Bockstal, K.;Slodička, M.
2017
Identification of a memory kernel in a nonlinear integrodifferential parabolic problem. Zbl 1370.65083
Van Bockstal, K.;Slodička, M.;Gistelinck, F.
2017
Recovery of a space-dependent vector source in thermoelastic systems. Zbl 1329.65214
Van Bockstal, K.;Slodička, M.
2015
Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination. Zbl 1334.65147
De Staelen, R. H.;Van Bockstal, K.;Slodička, M.
2015
Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory. Zbl 1319.35305
Van Bockstal, K.;De Staelen, R. H.;Slodička, M.
2015
Determination of a time-dependent diffusivity in a nonlinear parabolic problem. Zbl 1327.35451
van Bockstal, K.;Slodička, M.
2015
Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors. Zbl 1301.35176
Van Bockstal, K.;Slodička, M.
2015
A nonlocal parabolic model for type-I superconductors. Zbl 1311.82051
Slodička, Marian;van Bockstal, Karel
2014
Determination of an unknown diffusion coefficient in a semilinear parabolic problem. Zbl 1262.65120
Van Bockstal, K.;Slodička, M.
2013
alltop 5

Cited by 200 Authors

31 van Bockstal, Karel
25 Slodička, Marián
11 Hendy, Ahmed S.
9 Zaky, Mahmoud A.
7 Zheng, Xiangcheng
6 Le, Van Chien
5 De Staelen, Rob H.
5 Maes, Frederick
5 Šišková, Katarína
4 Cao, Kai
4 Hasanoǧlu, Alemdar
4 Kang, Tong
4 Serikbaev, Daurenbek
4 Tokmagambetov, Niyaz Esenzholovich
3 Dileep, Anjuna
3 Jia, Jinhong
3 Lesnic, Daniel
3 Marin, Liviu
3 Qiu, Wenlin
3 Wang, Ran
2 Alikhanov, Anatoliĭ Alievich
2 Artyushin, Aleksandr Nikolaevich
2 Ashurov, Ravshan Rajabovich
2 Azis, Mohammad Ivan
2 Bekbolat, Bayan
2 Feng, Xiaoli
2 Grimmonprez, Marijke
2 Ismailov, Mansur I.
2 Kian, Yavar
2 Kumarasamy, Sakthivel
2 Li, Qiang
2 Mandal, Bankim C.
2 Ruzhansky, Michael V.
2 Sana, Soura
2 Šeliga, Lukáš
2 Shahbazi Asl, Mohammad
2 Shakarova, Marjona Dilshod qizi
2 Solodushkin, Svyatoslav Igorevich
2 Wang, Zewen
2 Wu, Bin
2 Wu, Siyuan
2 Wu, Xu
2 Yumanova, Irina Farisovna
2 Zhang, Huai
2 Zhang, Yun
2 Zhou, Zhi
1 Afreen, Asma
1 Agarwal, Ravi P.
1 Akgül, Ali
1 Almasieh, Homa
1 Amin, Mohammed Elmustafa
1 Aminataei, Azim
1 Anjuna, D.
1 Apekov, Aslan Martinovich
1 Baltaeva, Umida Ismailovna
1 Bazarra, Noelia
1 Bu, Weiping
1 Cao, Y.
1 Chapko, Roman
1 Chen, Keyong
1 Chen, Yanping
1 Chen, Yaping
1 Chen, Yongbo
1 Cheng, Hao
1 Cheng, Jin
1 Çiçek, Muhammed
1 Cvetićanin, Stevan M.
1 Dai, Qun
1 De Bie, Hendrik
1 Degtyarev, Sergeĭ Petrovich
1 Deng, Zuicha
1 Derakhshan, Mohammad Hossein
1 Djida, Jean Daniel
1 Duressa, Gemechis File
1 Dzhamalov, Sirozhiddin Zukhriddinovich
1 Fernández, Jose Ramon
1 Foghem Gounoue, Guy Fabrice
1 Fu, Zhuojia
1 Galba, Michal
1 Gao, Ruimei
1 Gao, Ying
1 Geng, Zhiqiang
1 Ghuraibawi, Amer A.
1 Gistelinck, Fien
1 Guan, Sizhu
1 Guidetti, Davide
1 Guo, Shimin
1 Guo, Xu
1 Hazanee, Areena
1 Hoang, Phuong Cuc
1 Huang, Chengming
1 Huang, He
1 Hubert, Florence
1 Hussein, Mohammed S.
1 Inglese, Gabriele
1 Janno, Jaan
1 Jday, Fadhel
1 Jiang, Suzhen
1 Jiang, Tongsong
1 Jiang, Xuyan
...and 100 more Authors
alltop 5

Cited in 55 Serials

14 Journal of Computational and Applied Mathematics
10 Applied Numerical Mathematics
10 Applied Mathematics Letters
9 Computers \& Mathematics with Applications
8 Journal of Inverse and Ill-Posed Problems
7 Fractional Calculus \& Applied Analysis
6 Communications in Nonlinear Science and Numerical Simulation
5 Mathematical Methods in the Applied Sciences
5 Numerical Methods for Partial Differential Equations
5 Inverse Problems in Science and Engineering
4 Inverse Problems
4 Mathematics and Computers in Simulation
3 Journal of Mathematical Analysis and Applications
2 Computer Methods in Applied Mechanics and Engineering
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Quaestiones Mathematicae
2 Numerical Algorithms
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Computational Methods in Applied Mathematics
2 Advances in Difference Equations
2 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Journal of Mathematical Physics
1 Physica A
1 Ukrainian Mathematical Journal
1 Journal of Functional Analysis
1 Kyungpook Mathematical Journal
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Siberian Mathematical Journal
1 Mathematica Numerica Sinica
1 Physica D
1 Journal of Scientific Computing
1 Journal of Integral Equations and Applications
1 Applications of Mathematics
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Sibirskiĭ Zhurnal Industrial'noĭ Matematiki
1 Journal of Dynamical and Control Systems
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Boundary Value Problems
1 Inverse Problems and Imaging
1 Arabian Journal of Mathematics
1 Evolution Equations and Control Theory
1 Journal of Function Spaces
1 Journal of Mathematical Modeling
1 Journal of Elliptic and Parabolic Equations
1 Electronic Research Archive
alltop 5

Cited in 26 Fields

117 Partial differential equations (35-XX)
81 Numerical analysis (65-XX)
20 Mechanics of deformable solids (74-XX)
18 Real functions (26-XX)
10 Ordinary differential equations (34-XX)
10 Integral equations (45-XX)
8 Optics, electromagnetic theory (78-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Operator theory (47-XX)
7 Fluid mechanics (76-XX)
4 Special functions (33-XX)
4 Probability theory and stochastic processes (60-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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