Conformal Mapping

Related BrainMass Solutions

• Conformal mapping

  185602 Bijective Conformal Mapping A) find a bijective conformal mapping that takes a bounded region to an unbounded region b) prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.

• Finding a conformal map to fit certain restrictions.

  w(z)=e^(ib)(z-a)/(z-a') is the desired mapping. A conformal map is found. A conformal map to fit certain restrictions are determined.

• Conformal Mappings

  100397 Conformal Mappings Let O be the upper half of the unit disc D. Find a conformal mapping f: O->D that maps {-1,0,1} to {-1,-i,1}. Find z in O with f(z)=0 We consider the mobius transformation f(z)=(az+b)/(cz+d).

• Mobius Transformations and Conformal Maps

  (c) Use the preceding results to find a conformal mapping of G onto the open unit disk D = {z : abs(z) < 1}. (2) Prove the orientation principle: Let R_1 and R_2 be 2 circles in C_oo, and let T be the mobius transformation such that T(R_1)=R_2.

• Conformal Mapping : Semi-Infinite Strip

  46694 Conformal Mapping : Semi-Infinite Strip Please see the attached file for the fully formatted problems. Please see the attached file for the full solution. Thanks for using BrainMass. A semi-infinite strip is investigated.

• Transformation and Mapping

  Since a conformal mapping keeps the orientation, the mapped domain of "out of circle" is the complex plane, excepting the segment [-2, 2], which is a "cutting" in this plane.

• Fractional Transformations, Cross Ratios and Conformal Mapping

  99894 Fractional Transformations, Cross Ratios and Conformal Mapping 1. a) Let z1,z2,z3,z4 lie on a circle.

• Summation of Divergent Series

  The conformal mapping thus depends on the order of the series, the method is accordingly known as the "order dependent mapping method", the convergence of the method in case of mapping like in (2) can be justified rigorously as pointed out in [1].

• Potential Flow Theory : Conformal Transformation and Velocity on the Surface of an Ellipse

  54799 Potential Flow Theory : Conformal Transformation and Velocity on the Surface of an Ellipse A) Show that if bconformal transformation....maps a circle of radius 'a' in the plane into an ellipse in the ...plane.