1549301742-The_Theory_of_Difference_Schemes__Samarskii

516 Difference Methods for Solving Nonlinear Equations where c 0 = const, we find the function in question 1i(x,t) = v(x)T(t) = ...

The quasilinear heat conduction equation 517 A difference sche1ne. Newton's Inethod. vVe now proceed to constructing difference ...

518 Difference Methods for Solving Nonlinear Equations Under the boundary conditions (28) the elimination method is quite applic ...

The quasilinear heat conduction equation^519 with the homogeneous boundary conditions (30) k+l Vo --^0 ' In this regard, the n1a ...

520 Difference Methods for Solving Nonlinear Equations Various implicit schemes for the quasilinear heat conduction equation. O ...

The quasilinear heat conduction equation 521 tj+l can be found, for exa1nple, by the elimination method in terms of the values o ...

522 Difference Methods for Solving Nonlinear Equations approximation that the scheme a) offers in such matters more advantages t ...

The quasilinear heat conduction equation 523 engineering and technology. In tackling nonlinear problen1s some prelim- inary test ...

524 Difference Methods for Solving Nonlinear Equations supposed that the temperature satisfies the equation ( 42) au a au cs(u) ...

Conservative difference schemes of nonstationary gas dynamics 525 8.2 CONSERVATIVE DIFFERENCE SCHEMES OF NONSTATIONARY GAS DYNAM ...

526 Difference Methods for Solving Nonlinear Equations involves the system of gas dynamics equations in Lagrangian variables ( s ...

Conservative difference schemes of nonstationary gas dynarnics 527 a) The adiabatic flow of the ideal gas when w = 0, that is, x ...

528 Difference Methods for Solving Nonlinear Equations corresponds to the case when x ___, oo. The system of equations of gas dy ...

Conservative difference schemes of nonstationary gas dynamics 529 where the "viscous" pressure w = w(p, v~, h) depends on p, v~ ...

530 Difference Methods for Solving Nonlinear Equations where integration is accomplished along a closed curve in the plane (s, t ...

Conservative difference schernes of nonstationary gas dynamics 531 and (25) (26) (27) (^8) i+l/2 j v ds::::::: vi h, (^8) i-l/2 ...

532 Difference Methods for Solving Nonlinear Equations The emerging disbalances are characterized by a typical solution with a w ...

Conservative difference schemes of nonstationary gas dynan1ics 533 which, in turn, can be obtained from the equations 77t = v~"2 ...

534 Difference Methods for Solving Nonlinear Equations within which the third equation can be replaced by one of the following e ...

Conservative difference schernes of nonstationary gas dynmnics 535 Putting these together with the supplementary boundary condit ...