1549301742-The_Theory_of_Difference_Schemes__Samarskii

456 Stability Theory of Difference Schemes evaluation of the order of approximation. The factor at the member R in ( 108) is T, ...

Classes of stable three-layer schemes In this case we agree to consider in (112) er = c 2 /h^2 , Ay Ay = (ay:r;),:). For the mul ...

458 Stability Theory of Difference Schemes For equation (113) we accept /2 = C2 , Ay = -( ayx) , and take With regard to problem ...

7 Homogeneous Difference Schemes for Time-Dependent Equations of Mathematical Physics with Variable Coefficients 7.1 HOMOGENEOUS ...

460 Homogeneous Difference Schemes for Time-Dependent Equations and the boundary conditions (3) u(O,t)=u 1 (t), u(l,t)=u 2 (t), ...

Ho1nogeneous difference schemes for the heat conduction 461 The starting point is the balance equation written in the rectangle ...

462 Hon1ogeneous Difference Schen1es for Time-Dependent Equations From such reasoning it seems clear that the operator L ll = _! ...

Homogeneous difference schemes for the heat conduction 463 The next step is to reduce the resulting scheme to more convenient fo ...

464 Homogeneous Difference Schemes for Time-Dependent Equations The following implicit schemes are frequently encountered in the ...

Homogeneous difference schernes for the heat conduction 465 and Ak(A) is the kth eigenvalue of the operator A. It follows from G ...

466 Homogeneous Difference Sche1nes for Ti1ne-Dependent Equations holds. Under this condition the relation takes place. Su111min ...

Homogeneous difference schemes for the heat conduction 467 The coefficient at the member Yi becomes non-negative for ( 17) h2 T ...

468 Homogeneous Difference Schemes for Time-Dependent Equations Taking into account the relations Lu + f - it = 0 and (19) Au=Lu ...

Homogeneous difference sche1nes for the heat conduction 469 The equation with a discontinuous coefficient of heat conductivity. ...

470 Homogeneous Difference Schemes for Time-Dependent Equations where vright = u(e + 0, t). Furthermore, using the expansions be ...

Homogeneous difference schen1es for the heat conduction 471 making it possible to find that h ('l/Jn + 'l/Jn+1) = 2 h (it - f)~ ...

472 Homogeneous Difference Schemes for Tirne-Dependent Equations arising from the representation 0 ( 36) 1/J = 7),r + 1/i* , tha ...

Homogeneous difference schemes for the heat conduction 473 By substituting estimates (30) and (31) into inequality (40) and, in ...

474 Homogeneous Difference Schernes for Tirne-Dependent Equations which in combination with ( 37) leads to 117)1]2 = h 7)~+1 + ( ...

Homogeneous difference schemes for the heat conduction 475 Homogeneous schemes on nonequidistant grids. There is no doubt that ...