Applications of symmetry methods to partial differential equations GW Bluman
Springer, 2010
1166 2010 GeM software package for computation of symmetries and conservation laws of differential equations AF Cheviakov
Computer physics communications 176 (1), 48-61, 2007
257 2007 An asymptotic analysis of the mean first passage time for narrow escape problems: Part II: The sphere AF Cheviakov, MJ Ward, R Straube
Multiscale Modeling & Simulation 8 (3), 836-870, 2010
189 2010 Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps AF Cheviakov, MJ Ward
Mathematical and Computer Modelling 53 (7-8), 1394-1409, 2011
102 2011 Computation of fluxes of conservation laws AF Cheviakov
Journal of Engineering Mathematics 66, 153-173, 2010
100 2010 Framework for potential systems and nonlocal symmetries: Algorithmic approach G Bluman, AF Cheviakov
Journal of mathematical physics 46 (12), 2005
82 2005 Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation G Bluman, AF Cheviakov
Journal of mathematical analysis and applications 333 (1), 93-111, 2007
80 2007 Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples G Bluman, AF Cheviakov, NM Ivanova
Journal of mathematical physics 47 (11), 2006
79 2006 Symbolic computation of local symmetries of nonlinear and linear partial and ordinary differential equations AF Cheviakov
Mathematics in Computer Science 4 (2), 203-222, 2010
62 2010 Mathematical modeling and numerical computation of narrow escape problems AF Cheviakov, AS Reimer, MJ Ward
Physical Review E 85 (2), 021131, 2012
59 2012 Construction of conservation laws: how the direct method generalizes Noether’s theorem GW Bluman, AF Cheviakov, SC Anco
Proceedings of 4th Workshop “Group Analysis of Differential Equations …, 2009
48 2009 New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows O Kelbin, AF Cheviakov, M Oberlack
Journal of Fluid Mechanics 721, 340-366, 2013
44 2013 Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models AF Cheviakov
Computer Physics Communications 220, 56-73, 2017
33 2017 Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier–Stokes equations AF Cheviakov, M Oberlack
Journal of fluid mechanics 760, 368-386, 2014
33 2014 A matlab-based finite-difference solver for the poisson problem with mixed dirichlet–neumann boundary conditions AS Reimer, AF Cheviakov
Computer Physics Communications 184 (3), 783-798, 2013
33 2013 Narrow-escape problem for the unit sphere: Homogenization limit, optimal arrangements of large numbers of traps, and the AF Cheviakov, D Zawada
Physical Review E 87 (4), 042118, 2013
27 2013 Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions AF Cheviakov, GW Bluman
Journal of mathematical physics 51 (10), 2010
27 2010 Exact anisotropic MHD equilibria AF Cheviakov, OI Bogoyavlenskij
Journal of Physics A: Mathematical and General 37 (30), 7593, 2004
26 2004 Invariant conservation law-preserving discretizations of linear and nonlinear wave equations AF Cheviakov, VA Dorodnitsyn, EI Kaptsov
Journal of Mathematical Physics 61 (8), 2020
25 2020 Fully non-linear wave models in fiber-reinforced anisotropic incompressible hyperelastic solids AF Cheviakov, JF Ganghoffer, SS Jean
International Journal of Non-Linear Mechanics 71, 8-21, 2015
25 2015 