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April 1969 (vol. 18 no. 4)
pp. 384
ASCII Text  x  
D.T. Greenwood, "R698 Hybrid Computer Integration of Partial Differential Equations by Use of an Assumed Sum Separation of Variables," IEEE Transactions on Computers, vol. 18, no. 4, pp. 384, April, 1969.  
BibTex  x  
@article{ 10.1109/TC.1969.222672, author = {D.T. Greenwood}, title = {R698 Hybrid Computer Integration of Partial Differential Equations by Use of an Assumed Sum Separation of Variables}, journal ={IEEE Transactions on Computers}, volume = {18}, number = {4}, issn = {00189340}, year = {1969}, pages = {384}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1969.222672}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Computers TI  R698 Hybrid Computer Integration of Partial Differential Equations by Use of an Assumed Sum Separation of Variables IS  4 SN  00189340 SP EP EPD  384 A1  D.T. Greenwood, PY  1969 KW  null VL  18 JA  IEEE Transactions on Computers ER   
The problem posed in this paper is the solution of Laplace's equation using the cylindrical coordinates r and z in an axially symmetric region. The boundary for this region consists of the surface r=b(z) and two end planes at z=0 and z=a. Assuming that the potential is specified on this boundary, the solution for V(r, z) is desired for all interior points. An example of an application is the design of an electron gun in which the solution for the electrostatic potential is used in computing electron trajectories.
Citation:
D.T. Greenwood, "R698 Hybrid Computer Integration of Partial Differential Equations by Use of an Assumed Sum Separation of Variables," IEEE Transactions on Computers, vol. 18, no. 4, pp. 384, April 1969, doi:10.1109/TC.1969.222672
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