1549301742-The_Theory_of_Difference_Schemes__Samarskii

476 Hmnogeneous Difference Schemes for Time-Dependent Equations where fi±o = f(xi±o' t), or Xi+O 5 ( 48) 0 1 'Pi ='Pi = r; z j f ...

Ho1nogeneous difference schen1es for the heat conduction 477 u(x, t) is a solution of the preceding difference problem. Upon sub ...

478 Homogeneous Difference Sche1nes for Tiine-Dependent Equations with i1^1 = EPu/ at ax and f' = [} f I ax incorporated, we arr ...

Homogeneous difference schemes for the heat conduction 479 0 A space SL H of all grid functions given on the grid wh and vanishi ...

480 Homogeneous Difference Schemes for Time-Dependent Equations where lliJJI = J(l,17^2 ] and llzll < llvll + llwll, we get f ...

Ho1noge11eous difference schemes for the heat conduction 481 This fact follows in1111ediately from a priori esti1nate ( 42): Rem ...

482 Homogeneous Difference Sche1nes for Thne-Dependent Equations vve arrive at xn+I/2 ) J o'll 11 _ _ _ a (59 Dt(x, t! dx = w(xn ...

Hon1ogeneous difference sche1nes for the heat conduction 483 By analogy with the case of discontinuous coefficients we find that ...

484 Homogeneous Difference Schemes for Time-Dependent Equations thereby completing the staten1ent of the problem under considera ...

Ho1nogeneous difference schen1es for the heat couduction 485 In this way, the difference scheme C, Yt,o -- al Yx,o (a) +^0 ·^5 h ...

486 Homogeneous Difference Sche1nes for Time-Dependent Equations as required. For the error z = y - u we may set up the related ...

Homogeneous difference schemes for the heat conduction 487 The case when the coefficient of conductivity k depends on t, k = k( ...

488 Hom.ogeneous Difference Schemes for Time-Dependent Equations with c(x, t) > c 1 > 0 and 0 < c 1 < k(x, t) < c ...

Homogeneous difference schernes for the heat conduction 489 Let yh 71 (x;, t 1 ) and Yh 72 (x;, t 1 ) be solutions of the same d ...

490 Homogeneous Difference Schemes for Tirne-Dependent Equations specifying the difference conditions approximating the boundary ...

Hornogeneous difference schemes for the heat conduction 491 of the general form in the rectangle Dr = { 0 < x < 1, 0 < ...

492 Hornogeneous Difference Schernes for Time-Dependent Equations To equation (79) there corresponds the purely i1nplicit (four- ...

Homogeneous difference schemes for the heat conduction 493 Cylindrically symmetric and spherically symmetric heat conduction pr ...

494 Homogeneous Difference Schemes for Tirne-Dependent Equations and a time grid w 7 = {tj = jr, j = 0, 1, ... } on the segment ...

Hornogeneous difference schernes for the heat conduction 495 If CJ # 0, then the difference equation related to Yi can be solved ...