Deleted residuals, the QR-factored Newton iteration, and other methods for formally overdetermined determinate discretizations of nonlinear eigenproblems for solitary, cnoidal, and shock waves (Q697711)

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scientific article; zbMATH DE number 1801829
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Deleted residuals, the QR-factored Newton iteration, and other methods for formally overdetermined determinate discretizations of nonlinear eigenproblems for solitary, cnoidal, and shock waves
scientific article; zbMATH DE number 1801829

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    Deleted residuals, the QR-factored Newton iteration, and other methods for formally overdetermined determinate discretizations of nonlinear eigenproblems for solitary, cnoidal, and shock waves (English)
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    17 September 2002
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    Fourier pseudospectral method
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    solitary waves
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    Burgers equation
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    cnoidal waves
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    shock waves
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    nonlinear eigenvalue problem
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    system of nonlinear algebraic equations
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    singular systems
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    pseudoinverse-Newton iteration
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    Korteweg-de Vries equation
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    nonlinear equatorial beta-plane equations
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    rational Chebyshev pseudospectral methods
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    spectrally upgraded finite differences
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    QR-factored Newton iteration
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