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Question: maximum or minimum points ot multivariate fuction

Question:maximum or minimum points ot multivariate fuction

roya 0 Maple 13
multivariate
January 01 2012
0



A := 0.5e-1:

B := 0.5e-1:

tt := .1:

W := proc (x, y) options operator, arrow; 1-y^2/B^2-32*(sum((-1)^n*cosh((1/2)*(2*n+1)*Pi*x/B)*cos((1/2)*(2*n+1)*Pi*y/B)/((2*n+1)^3*cosh((1/2)*(2*n+1)*Pi*A/B)), n = 0 .. 8))/Pi^3-(sum(sum(128*(-1)^(p+q)*(1-B^2/(A^2*((2*q+1)^2/(2*p+1)^2+B^2/A^2)))*exp(-((1/4)*(2*p+1)^2*Pi^2/A^2+(1/4)*(2*q+1)^2*Pi^2/B^2)*tt)*cos((p+1/2)*Pi*x/A)*cos((q+1/2)*Pi*y/B)/((2*p+1)*(2*q+1)^3*Pi^4), q = 0 .. 8), p = 0 .. 8)) end proc:

DWX := (D[1](W))(x, y)

DEX := -W*DWX*B*(A+B)/(4*A*WSM)

WSM := 1-y^2/B^2-32*(sum((-1)^n/((2*n+1)^3*cosh((2*n+1)*Pi*A/(2*B))), n = 0 .. 10))/Pi^3

DWY := (D[2](W))(x, y)

DEY := -W*DWY*B*(A+B)/(4*A*WSM)

DE := sqrt(DEX^2+DEY^2):

 

 

NULL

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I want to define the coordinate of the maximum or minimum points of a multivariate function. my program is attached: it looks complicated but i just want to define maximum or minimum point of my "DE" function for (x=-0.05..0.05 and y=-0.05..0.05)

 
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