hilbert space methods for partial differential equations - r showalter

Ngày tải lên: 31/03/2014, 15:56

Ngày tải lên: 31/03/2014, 15:56

... u  (x) = sin(x). (1.1) Here (a), (b) and (c) are “first order” equations, (d) is second order, and (e) is fourth order. So the order of an equation refers to the highest order derivative involved in ... the simple problem we considered above, we note that convergence is obtained as ∆t is reduced. Some further discussion concerning numerical methods for ordinary dif- ferential equatio...

Ngày tải lên: 31/03/2014, 15:56

... Cambridge University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, ... (outside North America). Chapter 19. Partial Differential Equations 19.0 Introduction The numerical treatment of partial differential equations is, by itself, a vas...

Ngày tải lên: 28/10/2013, 22:15

... importantwhendealing withhighlyirregular geome- tries. Spectral methods [1 3-1 5] are preferred for very regular geometries and smooth functions; they converge more rapidly than finite-difference methods ... dynamics, below. For wave equations, propagation errors (amplitude or phase) are usually most worrisome. For advective equations, on the other hand, transport errors are usua...

Ngày tải lên: 07/11/2013, 19:15

... Cambridge University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, ... Cambridge University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their o...

Ngày tải lên: 15/12/2013, 04:15

... not recommend anything higher than second-order in time (for sets of first-order equations) . For spatial differencing, we recommend the order of the underlying PDEs, perhaps allowing second-order spatial ... differencing for first-order-in -space PDEs. When you increase the order of a differencing method to greater than the order of the original PDEs, you introduce spurious solutions to...

Ngày tải lên: 15/12/2013, 04:15

... (19.4.1) either once, for boundary value equations that are linear, or iteratively, for boundary value equations that are nonlinear. 858 Chapter 19. Partial Differential Equations Sample page from NUMERICAL ... Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use...

Ngày tải lên: 15/12/2013, 04:15

... University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any ... University Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal u...

Ngày tải lên: 15/12/2013, 04:15

... Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any ... Press.Programs Copyright (C) 198 8-1 992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproducti...

Ngày tải lên: 24/12/2013, 12:16