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- 2023
- Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation (2023) FRACTIONAL CALCULUS AND APPLIED ANALYSIS. 26(4). p.1663-1690
- On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations (2023) FRACTIONAL CALCULUS AND APPLIED ANALYSIS. 26. p.2175-2201
- Hierarchical mathematical models of chemical processes (2023)
- An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay (2023) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 420.
- Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations (2023) NONLINEAR DYNAMICS. 111(4). p.3525-3537
- Space-dependent variable-order time-fractional wave equation : existence and uniqueness of its weak solution (2023) QUAESTIONES MATHEMATICAE. 46(8). p.1695-1715
- TAP analysis of single and double peak responses during CO oxidation over Pt (2023) CATALYSIS TODAY. 417.
- 2022
- Method for encoding and decoding variables in engineering problems (2022) JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. 359(17). p.10231-10266
- On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction–diffusion equation with delay (2022) COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. 115.
- The monogenic Hua–Radon transform and its inverse (2022) JOURNAL OF GEOMETRIC ANALYSIS. 32(1).
- The identification of a time-dependent source in a time-fractional diffusion equation with non-smooth solutions (2022) Abstracts of the 10th International Conference 'Inverse Problems : Modeling and Simulation'. p.15-15
- Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III (2022) ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 73(3).
- Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems (2022) JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. 30(6). p.845-856
- Shadowing effect in catalyst activity : experimental observation (2022) ACS CATALYSIS. 12(9). p.5455-5463
- A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions (2022) NUMERICAL ALGORITHMS. 90(2). p.809-832
- On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions (2022) JOURNAL OF SCIENTIFIC COMPUTING. 90(1).
- A space-time discretization for an electromagnetic problem with moving non-magnetic conductor (2022) APPLIED NUMERICAL MATHEMATICS. 173. p.345-364
- Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece (2022) COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. 107.
- A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body (2022) APPLIED MATHEMATICS LETTERS. 124.
- 2021
- Three-factor kinetic equation of catalyst deactivation (2021) ENTROPY. 23(7).
- Spherical core–shell alumina support particles for model platinum catalysts (2021) NANOSCALE. 13(7). p.4221-4232
- Aan overlegstructuren geen gebrek in de gezondheidszorg, maar toch (2021) DE TIJD.
- Numerical simulation for a multidimensional fourth-order nonlinear fractional subdiffusion model with time delay (2021) MATHEMATICS. 9(23).
- Uniqueness for inverse source problems of determining a space-dependent source in time-fractional equations with non-smooth solutions (2021) FRACTAL AND FRACTIONAL. 5(4).
- Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order (2021) ADVANCES IN DIFFERENCE EQUATIONS. 2021(1).
- A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay (2021) APPLIED NUMERICAL MATHEMATICS. 169. p.108-121
- The shadowing effect in catalyst activity (2021) TKS2021, Transient Kinetics Seminar, Abstracts.
- Thermoelastic problem in the setting of dual-phase-lag heat conduction : existence and uniqueness of a weak solution (2021) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 503(1).
- The impact of memory effect on space fractional strong quantum couplers with tunable decay behavior and its numerical simulation (2021) SCIENTIFIC REPORTS. 11(1).
- Alikhanov Legendre–Galerkin spectral method for the coupled nonlinear time-space fractional Ginzburg–Landau complex system (2021) MATHEMATICS. 9(2).
- A time discrete scheme for an electromagnetic contact problem with moving conductor (2021) APPLIED MATHEMATICS AND COMPUTATION. 404.
- Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor (2021) COMPUTERS & MATHEMATICS WITH APPLICATIONS. 87. p.27-40
- ROMS based hydrodynamic modelling focusing on the Belgian part of the southern North Sea (2021) JOURNAL OF MARINE SCIENCE AND ENGINEERING. 9(1).
- 2020
- Some inverse source problems of determining a space dependent source in fractional-dual-phase-lag type equations (2020) MATHEMATICS. 8(8).
- Uniqueness for an inverse source problem of determining a space dependent source in a non-autonomous parabolic equation (2020) APPLIED MATHEMATICS LETTERS. 107.
- Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation (2020) FRACTIONAL CALCULUS AND APPLIED ANALYSIS. 23(6). p.1702-1711
- Existence of a unique weak solution to a nonlinear non-autonomous time-fractional wave equation (of distributed-order) (2020) MATHEMATICS. 8(8).
- Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order) (2020) APPLIED MATHEMATICS LETTERS. 109.
- Single-route linear catalytic mechanism : a new, kinetico-thermodynamic form of the complex reaction rate (2020) SYMMETRY-BASEL. 12(10).
- Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay (2020) MATHEMATICS. 8(10).
- Invariant expressions for linear complex mechanisms : single-step substance case (2020) CHEMICAL ENGINEERING SCIENCE. 219.
- Optimizing complexity in the kinetic modelling of integrated flue gas purification for pressurized oxy-combustion (2020) CHEMICAL ENGINEERING JOURNAL. 383.
- A comparative study of multi objective optimization algorithms for a cellular automata model (2020) REVISTA MEXICANA DE INGENIERIA QUIMICA. 19(1). p.299-311
- Solutions for the Levy-Leblond or parabolic Dirac equation and its generalizations (2020) JOURNAL OF MATHEMATICAL PHYSICS. 61(1).
- New invariant expressions in chemical kinetics (2020) ENTROPY. 22(3).
- The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam (2020) APPLIED MATHEMATICAL MODELLING. 79. p.914-933
- Invariant expressions for linear complex mechanisms : generalization for polar two-step sub-mechanisms (2020) CHEMICAL ENGINEERING SCIENCE. 211.
- 2019
- Methods for determining the intrinsic kinetic characteristics of irreversible adsorption processes (2019) CHEMICAL ENGINEERING SCIENCE. 207. p.344-351
- Rate/concentration kinetic petals : a transient method to examine the interplay of surface reaction processes (2019) JOURNAL OF PHYSICAL CHEMISTRY A. 123(40). p.8717-8725
- Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state (2019) JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. 27(5). p.623-642
- Complex reaction network generation for steady state isotopic transient kinetic analysis : Fischer-Tropsch synthesis (2019) COMPUTERS & CHEMICAL ENGINEERING. 125. p.594-605
- The gravity database for Belgium (2019) GEOSCIENCE DATA JOURNAL. 6(2). p.116-125
- Advanced COmputational Methods in ENgineering (ACOMEN 2017) (2019) COMPUTERS & MATHEMATICS WITH APPLICATIONS. 77(6). p.1423-1424
- Swapping the equilibrium (2019) CHEMICAL ENGINEERING SCIENCE. 205. p.165-173
- Theoretical and numerical analysis of inverse problems in mathematics and engineering (2019)
- Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation (2019) APPLIED MATHEMATICS LETTERS. 91. p.15-21
- Conservatively Perturbed Equilibrium (CPE) in chemical kinetics (2019) CHEMICAL ENGINEERING SCIENCE. 196. p.384-390
- Identification of a source in a fractional wave equation from a boundary measurement (2019) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 349. p.172-186
- Optimal portfolio choice with benchmarks (2019) JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY. 70(10). p.1600-1621
- 2018
- Reconstruction of a temporial load distribution in an Euler-Bernoulli beam (2018) 9th International Conference Inverse Problems : Modeling and Simulation, IPMS 2018, Abstracts. p.231-231
- Reconstruction of a spatial load distribution in an Euler-Bernoulli beam from the final state (2018) 9th International Conference Inverse Problems : Modeling and Simulation, IPMS 2018, Abstracts. p.226-226
- Population balances involving aggregation and breakage through homotopy approaches (2018) INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING. 16(6).
- Pulse response analysis using the Y-procedure : a data science approach (2018) CHEMICAL ENGINEERING SCIENCE. 192. p.46-60
- Experimental testing the invariant for the non-linear chemical reaction (2018) CHEMREACTOR-23 : XXIII international conference on chemical reactors, Abstracts.
- A source identification problem in a time-fractional wave equation with a dynamical boundary condition (2018) COMPUTERS & MATHEMATICS WITH APPLICATIONS. 75(12). p.4337-4354
- New insights in chemical relaxations : invariants and conservatively perturbed equilibrium (2018)
- Inverse source problems in evolutionary PDE's (2018)
- An iterative method for the Cauchy problem for second-order elliptic equations (2018) INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES. 142. p.216-223
- Reconstruction of a time dependent source term from a single boundary measurment in Maxwell's equations with nonlinear generalized Ohm's law (2018) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 334. p.58-76
- Experimental confirmation of a new invariant for a non-linear chemical reaction (2018) CHEMICAL ENGINEERING SCIENCE. 191. p.262-267
- Joint kinetics of reciprocal experiments (2018)
- New Insights in Chemical Relaxations: Invariants and Conservatively Perturbed Equilibrium (2018)
- New invariances for chemical reactions from Scaled Incremental Conversion (SIC) (2018) CHEMICAL ENGINEERING SCIENCE. 184. p.25-32
- Explicit formulas for the Dunkl dihedral kernel and the ( κ , a )-generalized Fourier kernel (2018) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 460(2). p.900-926
- The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method (2018) COMPUTERS & MATHEMATICS WITH APPLICATIONS. 75(3). p.764-786
- Gateway analysis for complex reaction mechanisms : Kinetic Informative Detachable (KID) sub-mechanisms (2018) CHEMICAL ENGINEERING SCIENCE. 178. p.183-193
- A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations (2018) APPLIED MATHEMATICS AND COMPUTATION. 325. p.1-14
- A semi-linear delayed diffusion-wave system with distributed order in time (2018) JOURNAL OF NUMERICAL ALGORITHMS. 77(3). p.885-903
- 2017
- Identification of memory kernels in hyperbolic problems (2017) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 311. p.618-629
- Existence and uniqueness of a solution for a field/circuit coupled problem (2017) ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 51(3). p.1045-1061
- Error estimates for the full discretization of a semilinear parabolic problem with an unknown source (2017) MATHEMATICS AND COMPUTERS IN SIMULATION. 142. p.15-33
- Estimation of the remaining lifetime of deactivated catalyst via the spatial average catalyst activity illustrated by the water-gas shift and steam methane reforming processes (2017) REACTION KINETICS MECHANISMS AND CATALYSIS. 121(2). p.371-385
- A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives (2017) COMPUTER PHYSICS COMMUNICATIONS. 224. p.98-107
- Recognition of a time-dependent source in a time-fractional wave equation (2017) APPLIED NUMERICAL MATHEMATICS. 121. p.1-17
- ACOMEN 2017 : book of abstracts Karel Van Bockstal UGent and Marian Slodicka UGent (2017)
- Precise non-steady-state characterization of solid active materials with no preliminary mechanistic assumptions (2017) CATALYSIS TODAY. 298. p.203-208
- Induction hardening of steel with restrained Joule heating and nonlinear law for magnetic induction field : solvability (2017) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 311. p.630-644
- A-phi formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field (2017) COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 321. p.294-315
- Analysis of L1-difference methods for time-fractional nonlinear parabolic problems with delay (2017) Book of Abstracts of the 7th International Conference on Advanced Computationale Methods in Engineering, ACOMEN 2017.
- The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method (2017)
- The identification of a space-dependent load source in isotropic thermoelastic systems : numerical experiments (2017)
- Kinetic Intersections as a Source of Information on Rate Coefficients (2017)
- Mapping the kinetic events in a linear two-step irreversible-reversible reaction mechanism (2017) CHEMICAL ENGINEERING SCIENCE. 158. p.370-380
- Perturbed equilibrium : new results in joint kinetics (2017)
- Clifford-Fourier transform on hyperbolic space (2017) MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 40(10). p.3666-3675
- A new construction of the Clifford-Fourier kernel (2017) JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 23(2). p.462-483
- The identification of a space-dependent load source in anisotropic thermoelastic systems (2017)
- Identification of a memory kernel in a nonlinear integrodifferential parabolic problem (2017) APPLIED NUMERICAL MATHEMATICS. 120. p.305-323
- Numerically pricing double barrier options in a time-fractional Black-Scholes model (2017) COMPUTERS & MATHEMATICS WITH APPLICATIONS. 74(6). p.1166-1175
- Recovery of a space-dependent vector source in anisotropic thermoelastic systems (2017) COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 321. p.269-293