1549301742-The_Theory_of_Difference_Schemes__Samarskii

616 Econmnical Difference Sche1nes for Multidiinensional Proble1ns since the quantity T/(o:) is recovered from equation (38) eve ...

The summarized approxiination method allowing Theorems 1-2 to hold. 2) A quasilinear equation of parabolic type. The complete po ...

618 Econmnical Difference Schemes for Multidimensional Problems where C13 are linear operators acting in a vector normed space H ...

The s1unmarized approxiination 1nethod 619 A two-layer additive sche1ne can a.lways be written in the canonical fonn yj+o:/m _ y ...

620 Economical Difference Sche1nes for Multidimensional Proble1ns If (Co:μ) = c- is a lower triangle matrix and all the operator ...

The su1nmarized approximation rnethod 621 that a solution of the relevant difference proble1n supplied by the zero initial condi ...

622 Econo1nical Difference Schemes for Multidimensional Problems where II · 11(1 1 and II · l!r 31 are some suitable norms on th ...

The summarized approximation method 623 The second con di ti on is ensured if 0 l!Aa μ B-^1 1/1 ~II = 0(1) as T ----> 0 , !hi ...

624 Eco1101nical Differeuce Schemes for Multidimensional Problems Also, the operator A will be taken to be (52) where linear ope ...

The sum1narized approxiinatiou rnethod 625 The second reduction of the Cauchy proble1n. On the whole segment tj < t < tj+l ...

626 Econmnical Difference Schemes for Multidimensional Problems will be given special investigation, where u(t) is a solution of ...

The sum1narized approximation 1nethod 627 This means that the systen1 of differential equations (55)-(56) generates an approxima ...

628 Eco1101nical Differeuce Schernes for Multidin1ensio11al Proble111s This chain can be associated with the representation of t ...

The surnmarized approximation n1ethod^629 Alternating direction methods as additive sche1nes. The starting point for special in ...

630 Economical Difference Schemes for Multidimensional Problems where 1t = 'Uj and 1! = 11-j+l, Frmn here another conclusion can ...

The su1n1narized approximation method 631 grid in T on the segment 0 < t < T and a grid wh in G remains unchanged (for mor ...

632 Econmnical Difference Sche1nes for Multidhnensional Proble1ns "Locally one-dimensional" schemes for hyperbolic equations acq ...

The summarized approximation method 633 if p = 2 or 0 ( E - :~ A2) (y2/3 + lta) = 2 yi/3 + F'2' Fi = u 0 + T 3 u_ 0 + T^2 Ai U 0 ...

634 Economical Difference Schemes for Multidhnensional Problems With the basic tools in hand, we proceed to carry out the accura ...

The summarized approximation 1nethod 635 and { O(h^2 + r^2 ) 1/J* = °' °' O(h°' + r^2 ) for for Whence it follows that 0 0 ,1.i ...