Details

Autor(en) / Beteiligte

• Samarskii, A.A.
• Matus, P.P.
• Mazhukin, V.I.
• Mozolevski, I.E.

Titel

Monotone difference schemes for equations with mixed derivatives

Ist Teil von

• Computers & mathematics with applications (1987), 2002-08, Vol.44 (3), p.501-510

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2002

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• There are considered elliptic and parabolic equations of arbitrary dimension with alternating coefficients at mixed derivatives. For such equations, monotone difference schemes of the second order of local approximation are constructed. Schemes suggested satisfy the principle of maximum. A priori estimates of stability in the norm C without limitation on the grid steps τ and hα, α = 1,2,…, p are obtained (unconditional stability).