A Discussion on Numerical Analysis of Partial Differential EquationsJames Hardy Wilkinson |
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Page 237
... flow problems are certainly among the most important . Meteorology and oceanography , engineering flows of liquids and gases , aerodynamics and plasma physics are but some of the fields in which they occur and are being successfully ...
... flow problems are certainly among the most important . Meteorology and oceanography , engineering flows of liquids and gases , aerodynamics and plasma physics are but some of the fields in which they occur and are being successfully ...
Page 243
... flow ( bounded fourth derivatives ) if the stability conditions are satisfied everywhere and At / ( Ax ) 2 is held constant as At → 0 . 4. SIMPLE ADVECTION In practical calculations general stability and convergence theorems as At , Ax ...
... flow ( bounded fourth derivatives ) if the stability conditions are satisfied everywhere and At / ( Ax ) 2 is held constant as At → 0 . 4. SIMPLE ADVECTION In practical calculations general stability and convergence theorems as At , Ax ...
Page 270
... flow field . In the ' marker - and - cell ' technique the particles are moved with the fluid velocity but apart from this are not involved in the integration . This approach has been used with a number of Eulerian finite - difference ...
... flow field . In the ' marker - and - cell ' technique the particles are moved with the fluid velocity but apart from this are not involved in the integration . This approach has been used with a number of Eulerian finite - difference ...
Contents
A DISCUSSION ON NUMERICAL ANALYSIS OF PARTIAL | 153 |
O B WIDLUND | 167 |
L | 179 |
11 other sections not shown
Common terms and phrases
accuracy accurate algorithms analysis applied approach approximation assume become bound boundary conditions boundary-value problems calculation characteristic coefficients Comput conservation consider considerably constant construct continuous convergence corresponding defined dependent derivatives described determined developed difference scheme difficulties dimensions direction discrete discussed elliptic energy error estimate example exists expansion figure finite finite-difference flow formula function give given grid important inequality initial instability integral equation interpolation introduce involving length limit linear Math mean mesh mesh-points method necessary nonlinear norm numerical numerical solution obtained operator partial differential equations particular physical points positive possible practical present problem procedure properties recent reduced REFERENCES region relations requires respectively satisfy shown similar simple singularities smooth solution solving space spline stability step sufficient techniques THEOREM unique values variables wave дх