P.N. Vabishchevich
Additive scheme (splitting scheme) for systems of partial differential equations
Computational methods and programming, 11:1-6, 2010, in Russian
P.N. Vabishchevich
Two-Level Finite Difference Scheme of Improved Accuracy Order for Time-Dependent Problems of Mathematical Physics
Computational Mathematics and Mathematical Physics, 2010, Vol. 50, No. 1, pp. 112–123.
P.N. Vabishchevich
Regularized Additive Operator-Difference Schemes
Computational Mathematics and Mathematical Physics, 2010, Vol. 50, No. 3, pp. 428–436.
P.N. Vabishchevich
Explicit-implicit computational algorithms for multiphase filtration problems
Mathematical Models and Computer Simulations, 2010, Vol. 2, No. 4, pp. 118–128.
P.N. Vabishchevich
Factorized SM-Stable Two-Level Schemes
Computational Mathematics and Mathematical Physics, 2010, Vol. 50, No. 11, pp. 1818–1824.
P.N. Vabishchevich
Additive Schemes for Certain Operator-Differential Equations
Computational Mathematics and Mathematical Physics, 2010, Vol. 50, No. 12, pp. 2033–2043.
N.P. Vabishchevich, P.N. Vabishchevich
VAGO method for the solution of elliptic second-order boundary value problems
Math. Model. Anal., 2010, Vol.15, No. 4, pp. 533-545. (MMA, arXiv:1004.4769)
P.N.Vabishchevich
Works of A.A. Samarskii on computational mathematics
Computational Methods in Applied Mathematics, 9(1):5-36, 2009.
A. A. Samarskii and P. N. Vabishchevich
Introduction to mathematical modeling
In V. I. Agoshkov, editor, Mathematical models of life support systems, volume 1 of Encyclopedia of Life Support Systems, Mathematical Sciences, pages 97-142. EOLSS, Unesco, 2009.
A. A. Samarskii and P. N. Vabishchevich
Mathematical modeling of life support systems: Classification of models
In V. I. Agoshkov, editor, Mathematical models of life support systems, volume 1 of Encyclopedia of Life Support Systems, Mathematical Sciences, pages 143-170. EOLSS, Unesco, 2009.
F. Gaspar, J. Gracia, F. Lisbona and P. Vabishchevich
A stabilized method for a secondary consolidation Biot's model
Numerical Methods for Partial Differential Equations, 24(1):60-78, 2008.
P.N. Vabishchevich
Domain decomposition methods with overlapping subdomains for the time-dependent problems of mathematical physics
Computational Methods in Applied Mathematics, 8(4):393-405, 2008.
P.N. Vabishchevich
The form of the equations of hydrodynamics
Proc.: Proceedings of the Seventh the All-Russian Seminar "Difference methods for boundary value problems and applications".Kazan, 21-24 September 2007, p.59-66, Kazan, 2007. Publishers, Kazan State University, in Russian
F. Gaspar, F. Lisbona, C. Oosterlee and P. Vabishchevich
An efficient multigrid solver for a reformulated version of the poroelasticity system
Comput. Methods Appl. Mech. Engrg., 196(8):1447–-1457, 2007.
B. S. Jovanovic, S. V. Lemeshevsky, P. P. Matus and P. N. Vabishchevich
Stability of solution of differential-operator and operator-difference equations with respect to perturbation of operators
Kragujevac journal of mathematics, 30:59-88, 2007.
P. N. Vabishchevich
On the form of the hydrodynamics equations
In: WEST-EAST HIGH SPEED FLOW FIELD CONFERENCE, 19-22, November 2007, Moscow, Russia, pages 1-9, Moscow, 2007.
P. N. Vabishchevich
Reconstruction of the right-hand side of the elliptical equation from obsevation data obtained at the boundary
Kragujevac journal of mathematics, 30:45-58, 2007.
P. N. Vabishchevich.
VAGO method for nonstationary vectors problems
In: Finite difference methods: theory and applications, pages 134-142, Rousse, 2007.
P. Vabishchevich
The vector analysis grid operators fo applied problems
In: Numerical Methods and Applications. 6th International Conference, NMA 2006. Borovets, Bulgaria, August 2006. Revised Papers, volume 4310 of Lecture Notes in Computer Science, pages 16-27, Berlin, 2007. Springer.
B. S. Jovanovic, S. Lemeshevsky, P. P.Matus and P. N. Vabishchevich
Stability of solutions of differential-operator and operator-difference equations in the sense of perturbation of operators
Computational Methods in Applied Mathematics, 6(3):269-290, 2006.
F. Gaspar, F. Lisbona, P. Vabishchevich
Staggered grid discretizations for the quasi-static biot's consolidation problem
Applied Numerical Mathematics, 56(6):888-898, 2006.