Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence
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概要
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A new concept of "an imperfect singular solution" is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are also presented for illustration.
- 社団法人電子情報通信学会の論文
- 1999-06-25
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関連論文
- A Method of Proving the Existence of Simple Turning Points of Two-Point Boundary Value Problems Based on the Numerical computation with Guaranteed Accuracy (Special Section on Nonlinear Theory and Its Applications)
- Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence