Stability of Difference Schemes with Variable Weights. - Piotr P. Matus (WNAA, 1996)

Stability of Finite Difference Schemes on Non-uniform Spatial-Time-Grids. - Piotr P. Matus; Vladimir I. Mazhukin; Igor E. Mozolevsky (NAA, 2000)

Computational Aspects of Conservative Difference Schemes for Shape Memory Alloys Applications. - Roderick V. N. Melnik; Linxiang X. Wang; Piotr P. Matus; Iryna Rybak (ICCSA (2), 2003)

Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. - Piotr P. Matus; Roderick V. N. Melnik; Linxiang X. Wang; Iryna Rybak (Math. Comput. Simul., 2004)

Stability and Monotonicity of Difference Schemes for Nonlinear Scalar Conservation Laws and Multidimensional Quasi-linear Parabolic Equations. - Piotr P. Matus; Sergey V. Lemeshevsky (Comput. Methods Appl. Math., 2009)

Well-Posedness and Blow Up for IBVP for Semilinear Parabolic Equations and Numerical Methods. - Piotr P. Matus; Sergey V. Lemeshevsky; A. Kandratsiuk (Comput. Methods Appl. Math., 2010)

Stability of Finite-difference Schemes for Semilinear Multidimensional Parabolic Equations. - Bosko S. Jovanovic; Magdalena Lapinska-Chrzczonowicz; Aleh Matus; Piotr P. Matus (Comput. Methods Appl. Math., 2012)

Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. - Magdalena Lapinska-Chrzczonowicz; Piotr P. Matus (Ann. UMCS Informatica, 2013)

Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. - Magdalena Lapinska-Chrzczonowicz; Piotr P. Matus (Comput. Math. Appl., 2014)

On Convergence of Difference Schemes for IBVP for Quasilinear Parabolic Equations with Generalized Solutions. - Piotr P. Matus (Comput. Methods Appl. Math., 2014)

Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions. - Francisco José Gaspar; Francisco Javier Lisbona; Piotr P. Matus; Vo Thi Kim Tuyen (Comput. Methods Appl. Math., 2016)

Numerical methods for a one-dimensional non-linear Biot's model. - Francisco José Gaspar; Francisco Javier Lisbona; Piotr P. Matus; Vo Thi Kim Tuyen (J. Comput. Appl. Math., 2016)

Monotone Difference Schemes for Weakly Coupled Elliptic and Parabolic Systems. - Piotr P. Matus; Francisco José Gaspar; Le Minh Hieu; Vo Thi Kim Tuyen (Comput. Methods Appl. Math., 2017)

Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. - Piotr P. Matus; Le Minh Hieu; Lubin G. Vulkov (J. Comput. Appl. Math., 2017)

On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids. - Piotr P. Matus; Dmitriy Poliakov; Le Minh Hieu (J. Comput. Appl. Math., 2018)

Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii. - Raytcho D. Lazarov; Piotr P. Matus; Petr N. Vabishchevich (Comput. Methods Appl. Math., 2020)

On Convergence of Difference Schemes for Dirichlet IBVP for Two-Dimensional Quasilinear Parabolic Equations with Mixed Derivatives and Generalized Solutions. - Piotr P. Matus; Dmitriy Poliakov; Le Minh Hieu (Comput. Methods Appl. Math., 2020)