𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stable schemes for partial differential equations: the one-dimensional reaction–diffusion equation

✍ Scribed by João Teixeira


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
174 KB
Volume
64
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Stable Schemes for Partial Differential
✍ João Teixeira 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Non-linear diffusion equations with numerical stability problems are common in many branches of science. An example is the k-diffusion parametrization for vertical turbulent mixing in atmospheric models that creates a system of non-linear diffusion equations with stability problems. In this paper a

Formulation of stable difference schemes
✍ G.L. Kusic; Keith Cooper 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 792 KB

A general system Of i?vitial-Value pUrtkAt d'@3Wltid eqUatiO'nS iS CkLSSified 'hat0 four categories based on the partial differential operators which defcne the equations. SpeciJc combinations of the operators are termed "&variants" since they are common to all jinite difference approximations to t

Asymptotically Stable Fourth-Order Accur
✍ Saul Abarbanel; Adi Ditkowski 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 419 KB

while constraining an energy norm of the error to be temporally bounded for all t Ͼ 0 by a constant proportional An algorithm which solves the multidimensional diffusion equation on complex shapes to fourth-order accuracy and is asymptoti-to the truncation error. cally stable in time is presented.