1549301742-The_Theory_of_Difference_Schemes__Samarskii

496 Hornogeneous Difference Schemes for Time-Dependent Equations A periodic problem. vVe are now interested in the proble1n of ...

Hornogeneous difference schemes for the heat conduction 497 as a corollary of the condition of conjugation u(O + 0, t) = u(l - 0 ...

498 Hornogeneous Difference Schemes for Time-Dependent Equations of the grid at hand. As a final result we get the homogeneous d ...

Homogeneous difference schernes for hyperbolic equations 499 7.2 HOMOGENEOUS DIFFERENCE SCHEMES FOR HYPERBOLIC EQUATIONS The or ...

500 Homogeneous Difference Schernes for Time-Dependent Equations for fixed t E wT through the approxirnation Av + 'P = (a.( x, t ...

Homogeneous difference schemes for hyperbolic equations 501 The second one is connected with the difference equation for determi ...

502 Homogeneous Difference Schernes for Tirne-Dependent Equations n1ain idea behind this approach was explained earlier in Chapt ...

Homogeneous difference schemes for hyperbolic equations 503 Following the procedures of Chapter 3, Section 4 and taking into ac- ...

504 Homogeneous Difference Schemes for Time-Dependent Equations A comparison of (7) and (20) provides enough reason to conclude ...

Homogeneous difference schemes for hyperbolic equations 505 For the weighted scheme (20) these estimates are ensured by (J > ...

506 Homogeneous Difference Schemes for Tiine-Dependent Equations Theorem Let the functions k(x, t) and f(x, t) have discontinuit ...

Difference Methods for Solving Nonlinear Equations of Mathematical Physics In this chapter the new difference schemes are constr ...

508 Difference Methods for Solving Nonlinear Equations making it possible to set up the difference problen1 for the error z = y ...

The quasilinear heat conduction equation 509 This can be solved by the standard elimination method, whose computa- tional proced ...

510 Difference Methods for Solving Nonlinear Equations is valid under the condition ll.f^11 (y)lle = 16q. Indeed, in conformity ...

The quasilinear heat conduction equation 511 The quasilinear heat conduction equation. So far we have considered inerely the li ...

512 Difference Methods for Solving Nonlinear Equations to introduce a new variable u = J;' k(O d~ for later use in equation (14) ...

The quasilinear heat conduction equation^513 follows we expound some exploratory devices for obtaining the simplest particular s ...

514 Difference Methods for Solving Nonlinear Equations whence it follows that at the point x = 0 ( D2(J)1/o u(U, t) = --;,;--- t ...

The quasilinear heat conduction equation 515 It may happen that the temperature front is held fixed, that is, D = 0. Such a solu ...