Singular Manual: difpoly2tex

| #### D.11.4.3 difpoly2tex Procedure from library `findifs.lib` (see findifs_lib). Usage: difpoly2tex(S,P[,Q]); S an ideal, P and optional Q are lists Return: string Purpose: present the difference scheme in the nodal form Assume: ideal S is the result of `decoef` procedure Note: a list P may be empty or may contain parameters, which will not appear in denominators an optional list Q represents the part of the scheme, depending on other function, than the major part Example:
    LIB "findifs.lib";
    ring r = (0,dh,dt,V),(Tx,Tt),dp;
    poly M = (4*dh*Tx+dt)^2*(Tt-1) + V*Tt*Tx;
    ideal I = decoef(M,dt);
    list L; L[1] = V;
    difpoly2tex(I,L);
    ==> \frac{1}{8\tri t}\cdot (u^{n+1}_{j+2}-u^{n}_{j+2}+\frac{\nu}{16\tri h^{2}\
       } u^{n+1}_{j+1})+ \frac{1}{16\tri h}\cdot (u^{n+1}_{j+1}-u^{n}_{j+1}+\fra\
       c{\tri t}{8\tri h} u^{n+1}_{j}+\frac{-\tri t}{8\tri h} u^{n}_{j})
    poly G = V*dh^2*(Tt-Tx)^2;
    difpoly2tex(I,L,G);
    ==> \frac{1}{8\tri t}\cdot (u^{n+1}_{j+2}-u^{n}_{j+2}+\frac{\nu}{16\tri h^{2}\
       } u^{n+1}_{j+1})+ \frac{1}{16\tri h}\cdot (u^{n+1}_{j+1}-u^{n}_{j+1}+\fra\
       c{\tri t}{8\tri h} u^{n+1}_{j}+\frac{-\tri t}{8\tri h} u^{n}_{j})+ \frac{\
       \nu}{128\tri t}\cdot (p^{n}_{j+2}+(-2) p^{n+1}_{j+1}+p^{n+2}_{j})

User manual for Singular version 4.3.2, 2023, generated by texi2html.