Lukasz Plociniczak

45 papers Journal 45

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Asymmetric Lévy walks driven by convex combination of fractional material derivatives. CoRR Lukasz Plociniczak, Marek A. Teuerle, Hubert Woszczek
2025	J	`jnl`	A note on the L1 discretization error for the Caputo derivative in Hölder spaces. Appl. Math. Lett. Félix del Teso, Lukasz Plociniczak
2025	J	`jnl`	Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations. CoRR Josefa Caballero, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Kishin B. Sadarangani
2025	J	`jnl`	Collocation method for a functional equation arising in behavioral sciences. J. Comput. Appl. Math. Josefa Caballero, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Kishin B. Sadarangani
2025	J	`jnl`	Convolution Quadrature for the Quasilinear Subdiffusion Equation. SIAM J. Numer. Anal. María López-Fernández, Lukasz Plociniczak
2025	J	`jnl`	Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces. CoRR Josefa Caballero, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Kishin B. Sadarangani
2025	J	`jnl`	Generalized capillary-rise models: existence and fast solvers in integral Hölder spaces. CoRR Josefa Caballero, Lukasz Plociniczak, Kishin B. Sadarangani
2025	J	`jnl`	Optimal Strategy for Trail Running with Nutrition and Fatigue Factors. SIAM J. Appl. Math. Bogna Jaszczak, Lukasz Plociniczak
2025	J	`jnl`	Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver. CoRR Josefa Caballero, Lukasz Plociniczak, Kishin B. Sadarangani
2024	J	`jnl`	A note on the L1 discretization error for the Caputo derivative in Hölder spaces. CoRR Félix del Teso, Lukasz Plociniczak
2024	J	`jnl`	Collocation method for a functional equation arising in behavioral sciences. CoRR Josefa Caballero, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Kishin B. Sadarangani
2024	J	`jnl`	Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish. Appl. Math. Comput. Josefa Caballero, Lukasz Plociniczak, Kishin B. Sadarangani
2024	J	`jnl`	Fractional material derivative: pointwise representation and a finite volume numerical scheme. CoRR Lukasz Plociniczak, Marek A. Teuerle
2024	J	`jnl`	From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme. Commun. Nonlinear Sci. Numer. Simul. Lukasz Plociniczak, Marek A. Teuerle
2024	J	`jnl`	Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. Comput. Math. Appl. Lukasz Plociniczak, Kacper Tazbierski
2024	J	`jnl`	Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. Commun. Nonlinear Sci. Numer. Simul. Belén López, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Juan Rocha
2023	J	`jnl`	Convolution Quadrature for the quasilinear subdiffusion equation. CoRR María López-Fernández, Lukasz Plociniczak
2023	J	`jnl`	Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. CoRR Lukasz Plociniczak, Kacper Tazbierski
2023	J	`jnl`	Numerical methods and regularity properties for viscosity solutions of nonlocal in space and time diffusion equations. CoRR Félix del Teso, Lukasz Plociniczak
2023	J	`jnl`	Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. CoRR Belén López, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Juan Rocha
2022	J	`jnl`	Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. Comput. Math. Appl. Lukasz Plociniczak
2022	J	`jnl`	Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. CoRR Lukasz Plociniczak
2022	J	`jnl`	Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. CoRR Lukasz Plociniczak, Mateusz Switala
2022	J	`jnl`	On a discrete composition of the fractional integral and Caputo derivative. Commun. Nonlinear Sci. Numer. Simul. Lukasz Plociniczak
2022	J	`jnl`	Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. Appl. Math. Comput. Hanna Okrasinska-Plociniczak, Lukasz Plociniczak
2021	J	`jnl`	A linear Galerkin numerical method for a strongly nonlinear subdiffusion equation. CoRR Lukasz Plociniczak
2021	J	`jnl`	Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. CoRR Lukasz Plociniczak
2021	J	`jnl`	On a discrete composition of the fractional integral and Caputo derivative. CoRR Lukasz Plociniczak
2021	J	`jnl`	Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. Commun. Nonlinear Sci. Numer. Simul. Lukasz Plociniczak, Mateusz Switala
2021	J	`jnl`	Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. CoRR Hanna Okrasinska-Plociniczak, Lukasz Plociniczak
2020	J	`jnl`	A weighted finite difference method for subdiffusive Black-Scholes model. Comput. Math. Appl. Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak
2020	J	`jnl`	Asymptotic Solution of a Boundary Value Problem for a Spring-Mass Model of Legged Locomotion. J. Nonlinear Sci. Hanna Okrasinska-Plociniczak, Lukasz Plociniczak
2019	J	`jnl`	A weighted finite difference method for subdiffusive Black Scholes Model. CoRR Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak
2019	J	`jnl`	Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. Commun. Nonlinear Sci. Numer. Simul. Lukasz Plociniczak
2019	J	`jnl`	Numerical Method for the Time-Fractional Porous Medium Equation. SIAM J. Numer. Anal. Lukasz Plociniczak
2018	J	`jnl`	Numerical method for Volterra equation with a power-type nonlinearity. Appl. Math. Comput. Hanna Okrasinska-Plociniczak, Lukasz Plociniczak
2018	J	`jnl`	Quickest drift change detection in Lévy-type force of mortality model. Appl. Math. Comput. Michal Krawiec, Zbigniew Palmowski, Lukasz Plociniczak
2017	J	`jnl`	Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. Numer. Algorithms Lukasz Plociniczak, Szymon Sobieszek
2016	J	`jnl`	Analysis of cornea curvature using radial basis functions - Part I: Methodology. Comput. Biol. Medicine Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser
2016	J	`jnl`	Analysis of cornea curvature using radial basis functions - Part II: Fitting to data-set. Comput. Biol. Medicine Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser
2015	J	`jnl`	Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. Commun. Nonlinear Sci. Numer. Simul. Lukasz Plociniczak
2014	J	`jnl`	Approximation of the Erdélyi-Kober Operator with Application to the Time-Fractional Porous Medium Equation. SIAM J. Appl. Math. Lukasz Plociniczak
2014	J	`jnl`	Eigenvalue asymptotics for a fractional boundary-value problem. Appl. Math. Comput. Lukasz Plociniczak
2014	J	`jnl`	ODE/PDE analysis of corneal curvature. Comput. Biol. Medicine Lukasz Plociniczak, Graham W. Griffiths, William E. Schiesser
2013	J	`jnl`	Bessel function model of corneal topography. Appl. Math. Comput. Wojciech Okrasinski, Lukasz Plociniczak