1549301742-The_Theory_of_Difference_Schemes__Samarskii
536 Difference Methods for Solving Nonlinear Equations Numerical solution of difference equations by Newton's 1nethod. As can r ...
Conservative difference schemes of nonstationary gas dynamics 537 k k k k k f 4 = E - a g 7] - a IJ v 8 , Ll A kl]+l = k+l r/ - ...
538 Difference Methods for Solving Nonlinear Equations one succeeds in showing that equation ( 4 7) becomes k k -(Jbr;bg - I ' s ...
Conservative difference schen1es of nonstationary gas dynamics 539 , , k+l k+l k+L k+l By insertmg now b vs = -cr 1 Tb gss and b ...
540 Difference Methods for Solving Nonlinear Equations The preceding is equivalent to the inequalities (58) thus causing, in fac ...
Conservative difference schemes of nonstationary gas dynamics 541 Equations of gas dynamics with heat conductivity. vVe are now ...
542 Difference Methods for Solving Nonlinear Equations II: "heat group" E = -g(a) vCO 5) - w(f3) t s s ' w=-kT^8 , E=E(r1,T), k ...
Economical Difference Schemes for Multidimensional Problems in Mathematical Physics One of the serious develop1nents in con1puta ...
544 Economical Difference Schemes for Multidimensional Problems imal execution time in g1vmg an approximate solution with a pres ...
The alternating direction method 545 which is stable for T < 0.5 h^2 / p. If equation ( 1) contains the variable coefficients ...
546 Economical Difference Schemes for Multidimensional Problerns Because of these facts, tlw number of the necessary operations ...
The alternating direction method 547 where the operator B = ( E+T A-)( E+T A+) is a product of two self-adjoint "triangle" opera ...
548 Economical Difference Schernes for Multidimensional Problerns boundary-value problem of the form (8) A;y;_ 1 - C,yi + Bn.J;+ ...
The alternating direction method^549 and the difference boundary conditions, for example, of the special type (12) (13) where (1 ...
550 Economical Difference Schemes for Multidimensional Problems Let a value y = y" be given. Starting from F, we tnove further a ...
The alternating direction n1ethod 551 On the other hand, a solution of problem (20)-(21) applies equally well to problem (9)-(14 ...
552 Economical Difference Schemes for Multidirnensional Problerns where B = (E + 0.5 T Ai) (E - 0.5 T A2), Aa = -Aa, A= Ai+ A2. ...
The alternating direction n1ethod 553 Theore111 1 Sche1ne (22) is stable with respect to the initial data and the right-hancl si ...
554 Economical Difference Schen1es for Multidimensional Problems A sche1ne for the governing equation with variable coefficient ...
The alternating direction inethocl 555 where and The value μ is put in correspondence with the expression (35) arising from the ...
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