7 citations · 19 across the 7 of their papers we have counts for
7 papers
Factorization in categories of systems of linear partial differential equations
S. P. Tsarev
We start with elementary algebraic theory of factorization of linear ordinary differential equations developed in the period 1880-1930. After exposing these classical results we sk…
Curvature line parametrization from circle patterns
A. I. Bobenko, S. P. Tsarev
We study local and global approximations of smooth nets of curvature lines and smooth conjugate nets by respective discrete nets (circular nets and planar quadrilateral nets) with…
Exact solutions of hyperbolic systems of kinetic equations. Application to Verhulst model with random perturbation
E. I. Ganzha, V. M. Loginov, S. P. Tsarev
For hyperbolic first-order systems of linear partial differential equations (master equations), appearing in description of kinetic processes in physics, biology and chemistry we p…
Generalized Laplace transformations and integration of hyperbolic systems of linear partial differential equations
Sergey P. Tsarev
We give a new procedure for generalized factorization and construction of the complete solution of strictly hyperbolic linear partial differential equations or strictly hyperbolic…
On rational definite summation
Sergey P. Tsarev
We present a partial proof of van Hoeij-Abramov conjecture about the algorithmic possibility of computation of finite sums of rational functions. The theoretical results proved in…
On a class of three-dimensional integrable Lagrangians
E. V. Ferapontov, K. R. Khusnutdinova, S. P. Tsarev
We characterize non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})…