Applications of symmetry methods to partial differential equations GW Bluman
springer, 2010
1271 2010 GeM software package for computation of symmetries and conservation laws of differential equations AF Cheviakov
Computer physics communications 176 (1), 48-61, 2007
284 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
195 2010 Computation of fluxes of conservation laws AF Cheviakov
Journal of Engineering Mathematics 66, 153-173, 2010
112 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
105 2011 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
85 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
85 2006 Framework for potential systems and nonlocal symmetries: Algorithmic approach G Bluman, AF Cheviakov
Journal of mathematical physics 46 (12), 2005
83 2005 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
72 2010 Mathematical modeling and numerical computation of narrow escape problems AF Cheviakov, AS Reimer, MJ Ward
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 85 (2 …, 2012
63 2012 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
52 2013 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
50 2009 Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models AF Cheviakov
Computer Physics Communications 220, 56-73, 2017
37 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
36 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
34 2013 Invariant conservation law-preserving discretizations of linear and nonlinear wave equations AF Cheviakov, VA Dorodnitsyn, EI Kaptsov
Journal of Mathematical Physics 61 (8), 2020
32 2020 Multidimensional partial differential equation systems: nonlocal symmetries, nonlocal conservation laws, exact solutions AF Cheviakov, GW Bluman
Journal of mathematical physics 51 (10), 2010
29 2010 New similarity reductions and exact solutions for helically symmetric viscous flows D Dierkes, A Cheviakov, M Oberlack
Physics of Fluids 32 (5), 2020
28 2020 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—Statistical, Nonlinear, and Soft Matter Physics 87 (4 …, 2013
28 2013 Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems AF Cheviakov, GW Bluman
Journal of mathematical physics 51 (10), 2010
28 2010 