Fast adaptive summation of point forces in the two-dimensional Poisson equation. Journal of Computational Physics 1989; 83: 126- 147.L. van Dommelen and E. A. Rundensteiner, Fast adaptive summation of point forces in the two-dimensional Poisson equation, J. Comput. Phys., 83 (1989), pp....
The torque due to the mass of the sign and the mass of the beam should be in the same direction/same polarity so the equation should be.. Ʃt = Tr1 - (Mbr2 +Msgr3) = 0 The OP then states.. r1 = 4tan(65) 4 is in meters it is the length of the beam. Tan(65) is to...
Thus, xi'=aimxm is shorthand for three equations, each having a sum of three terms on its right-hand side. Another simple example of a free index is the following equation defining the components of a vector a in terms of a dot product with each of the base vectors ei, (2.2.4)ai=...
We discuss renormalization of the nonrelativistic three-body problem with short-range forces. The problem becomes nonperturbative at momenta of the order o... P.,F.,Bedaque,... - 《Physical Review Letters》 被引量: 479发表: 1999年 Solution of the pair equation using a finite discrete spectru...
Variational method for solving the contracted Schrdinger equation through a projection of the N-particle power method onto the two-particle space The power method for solvingN-particle eigenvalue equations is contracted onto the two-particle space to produce a reduced "variational" method for solving...
40, No. I, 1999 SUMMATION OF THE WITTING SERIES IN THE SOLITARY-WAVE PROBLEM E. A. Karabut UDC 532.59 Some exact solutions of the Euler equations with a free surface in the presence of gravitation forces are found. They are obtained by summing Witting series applied in the theory of ...
Yes, delta functions are used in a variety of scientific fields, including physics, engineering, and signal processing. They can be used to model real-world phenomena such as impulse forces, point charges, or point masses. Post reply Similar...
13 When applied to quasi-one dimensional systems, Lekner summations method is an eigen- function expansion of the Green function of Laplace equation with periodicity in only one direction (see for instance Eq.(3.10) in ref.[37]). Following the derivations done in refs.[13,15,37], an ...
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(when the mirror transistor is equal in size with the reference transistor) with high accuracy, and to reduce to minimum the VDSm/VDSrvariations due to factors such as load, temperature, and power supply variations. The indices m and r in equation (1) refer to the mirror transistor and ...