Solution of boundary value and eigenvalue problems for second order elliptic operators in the plane using pseudoanalytic formal powers

@inproceedings{Prez2010SolutionOB,
  title={Solution of boundary value and eigenvalue problems for second order elliptic operators in the plane using pseudoanalytic formal powers},
  author={Ra{\'u}l Castillo P{\'e}rez and Vladislav V. Kravchenko and Rabindranath Resendiz Vazquez},
  year={2010}
}
We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D=divpgrad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q with the aid of pseudoanalytic function theory a complete system of null solutions of the operator can be constructed following a simple algorithm consisting in recursive integration. This system of solutions is used for solving boundary… CONTINUE READING

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On the numerical construction of formal powers and their application to the Electrical Impedance Equation

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HIGHLY INFLUENCED

A simplified method for numerically solving the Impedance Equation in the plane

VIEW 2 EXCERPTS
CITES BACKGROUND

References

Publications referenced by this paper.
SHOWING 1-10 OF 16 REFERENCES

Applied Pseudoanalytic Function Theory. Basel: Birkhäuser, Series: Frontiers in Mathematics

  • V VKravchenko
  • 2009
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

Recent developments in applied pseudoanalytic function theory. In “Some topics on value distribution and differentiability in complex and p-adic analysis

  • V VKravchenko
  • 2008
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Formal powers and power series

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Separable Laplace equation, magic Toeplitz matrix, and generalized Ohm's law

VIEW 1 EXCERPT