This book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD algorithms of main invariant differential operators of first order such as the divergence, the gradient, and the curl.

Conservative Finite-Difference Methods on General Grids provides tools...