1549301742-The_Theory_of_Difference_Schemes__Samarskii

576 Econom.ical Diffe1·ence Schernes for Multidhnensional Problerns by the factorized operator p E+2rR= IT (E+2rRa)=E+2rR+4r^2 Q ...

Econo1nical factorized schemes 577 holds. In the case of a variable operator A= A(t) it is required, in addition, that A( t) is ...

578 Econo1nical Difference Schemes for Multidin1ensional Problems the following algorithm is recommended for the possible applic ...

Economical factorized schemes 579 In this direction, the intention is to construct in a similar inanner the factorized sche1ne r ...

580 Economical Difference Schemes for Multidimensional Problems on which the statement of the difference proble1n is (43) Ytt = ...

Economical factorized schernes 581 With this aim, the equation B1 B2 Ytt that Ay can be solved in such a way In so doing three s ...

582 Economical Difference Sche1nes for Multidiinensional Proble1ns Having replaced the operator E + r^2 ( R1 + R 2 ) by the fact ...

Economical factorized schemes where (u, v) = t ;· tts(x) v^8 (x) ell;, ell:= cfa: 1 ... clxp, s=l G P 82u L(^0 lu -- u "u -- L.. ...

584 Economical Difference Schemes for Multidimensional Problems On the strength of ( 46) the operator A is self-adjoint, meaning ...

Economical factorized schen1es 585 In what follows the computational algorithm capable of describing p (E+rR 1 )w(i) =Ay+i.p, p ...

586 Economical Difference Sche1nes fm· Multidimensional Problems whose canonical form is ( 58) y = f.-l for x E /h, t E W 7 , y( ...

Econmnical factorized schemes^587 e1Tor the following conditions: z=O forxE11i, tEw 7 , z(x,0)=0 forxEw1i, where (60) 1/1 0 is t ...

588 Econon1ical Difference Schemes for Multidimensional Problems which are put together with a priori estimates for equation (59 ...

Econornical factorized sche1nes 589 to hold with constants c 1 manipulations: . + 2jt, when providing current p p (^1) = 2= 2= ...

590 Economical Difference Schemes for Multidimensional Problems Observe that the primary scheme Ytt + r^2 RYrt under the restric ...

Economical factorized schemes 591 which includes as part the supplen1entary boundary conditions for the vector-functions w(a)· C ...

592 Economical Difference Sche1nes for Multidimensional Problems The quasilinear heat conduction equation reproduces the case wh ...

The su1n1narizecl approxiination inethocl^593 leading to additive schemes. The describing sche1nes of this type will be studied ...

594 Economical Difference Schemes for Multidilnensional Problems we find that z)+l/2 - zJ -----+ a1 zj = -u,i T • J , where 1tj ...

The summarized approxiination method 595 scheme on the odd layers and the implicit one on the even layers. The outco1ne of this ...