Piotr P. Matus

Publication Activity (10 Years)

Years Active: 1996-2020
Publications (10 Years): 7

Top Topics

Diffusion Equation

Numerical Analysis

Finite Difference

Top Venues

Comput. Methods Appl. Math.

J. Comput. Appl. Math.

Ann. UMCS Informatica

Comput. Math. Appl.

Publications

Raytcho D. Lazarov, Piotr P. Matus, Petr N. Vabishchevich
Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii. Comput. Methods Appl. Math. 20 (4) (2020)
Piotr P. Matus, Dmitriy Poliakov, Le Minh Hieu
On Convergence of Difference Schemes for Dirichlet IBVP for Two-Dimensional Quasilinear Parabolic Equations with Mixed Derivatives and Generalized Solutions. Comput. Methods Appl. Math. 20 (4) (2020)
Piotr P. Matus, Dmitriy Poliakov, Le Minh Hieu
On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids. J. Comput. Appl. Math. 340 (2018)
Piotr P. Matus, Francisco José Gaspar, Le Minh Hieu, Vo Thi Kim Tuyen
Monotone Difference Schemes for Weakly Coupled Elliptic and Parabolic Systems. Comput. Methods Appl. Math. 17 (2) (2017)
Piotr P. Matus, Le Minh Hieu, Lubin G. Vulkov
Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. J. Comput. Appl. Math. 310 (2017)
Francisco José Gaspar, Francisco Javier Lisbona, Piotr P. Matus, Vo Thi Kim Tuyen
Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions. Comput. Methods Appl. Math. 16 (2) (2016)
Francisco José Gaspar, Francisco Javier Lisbona, Piotr P. Matus, Vo Thi Kim Tuyen
Numerical methods for a one-dimensional non-linear Biot's model. J. Comput. Appl. Math. 293 (2016)
Piotr P. Matus
On Convergence of Difference Schemes for IBVP for Quasilinear Parabolic Equations with Generalized Solutions. Comput. Methods Appl. Math. 14 (3) (2014)
Magdalena Lapinska-Chrzczonowicz, Piotr P. Matus
Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Comput. Math. Appl. 67 (12) (2014)
Magdalena Lapinska-Chrzczonowicz, Piotr P. Matus
Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Ann. UMCS Informatica 13 (1) (2013)
Bosko S. Jovanovic, Magdalena Lapinska-Chrzczonowicz, Aleh Matus, Piotr P. Matus
Stability of Finite-difference Schemes for Semilinear Multidimensional Parabolic Equations. Comput. Methods Appl. Math. 12 (3) (2012)
Piotr P. Matus, Sergey V. Lemeshevsky, A. Kandratsiuk
Well-Posedness and Blow Up for IBVP for Semilinear Parabolic Equations and Numerical Methods. Comput. Methods Appl. Math. 10 (4) (2010)
Piotr P. Matus, Sergey V. Lemeshevsky
Stability and Monotonicity of Difference Schemes for Nonlinear Scalar Conservation Laws and Multidimensional Quasi-linear Parabolic Equations. Comput. Methods Appl. Math. 9 (3) (2009)
Piotr P. Matus, Roderick V. N. Melnik, Linxiang X. Wang, Iryna Rybak
Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Math. Comput. Simul. 65 (4-5) (2004)
Roderick V. N. Melnik, Linxiang X. Wang, Piotr P. Matus, Iryna Rybak
Computational Aspects of Conservative Difference Schemes for Shape Memory Alloys Applications. ICCSA (2) (2003)
Piotr P. Matus, Vladimir I. Mazhukin, Igor E. Mozolevsky
Stability of Finite Difference Schemes on Non-uniform Spatial-Time-Grids. NAA (2000)
Piotr P. Matus
Stability of Difference Schemes with Variable Weights. WNAA (1996)