The annihilator method for computing particular solutions to partial differential equations (Q1961562)

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scientific article; zbMATH DE number 1389955
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The annihilator method for computing particular solutions to partial differential equations
scientific article; zbMATH DE number 1389955

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    The annihilator method for computing particular solutions to partial differential equations (English)
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    24 September 2000
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    The well-known annihilator method for finding particular solutions of ordinary differential equations is generalized to solve partial differential equations of Helmholtz-type when the right hand side is a linear combination of thin plate and higher order splines. These particular solutions are useful in numerical algorithms for solving boundary value problems for a variety of elliptic and parabolic equations.
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    annihilator method
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    particular solution
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    Helmholtz equation
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    thin plate spline
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