numerical solution of differential equations
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1: 3.7 Ordinary Differential Equations
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§3.7(ii) Taylor-Series Method: Initial-Value Problems
… ► … ►§3.7(iii) Taylor-Series Method: Boundary-Value Problems
… ►The eigenvalues are simple, that is, there is only one corresponding eigenfunction (apart from a normalization factor), and when ordered increasingly the eigenvalues satisfy … ►§3.7(v) Runge–Kutta Method
…2: 16.25 Methods of Computation
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►There is, however, an added feature in the numerical solution of differential equations and difference equations (recurrence relations).
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3: Ronald F. Boisvert
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►His research interests include numerical solution of partial differential equations, mathematical software, and information services that support computational science.
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4: Bonita V. Saunders
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►Her research interests include numerical grid generation, numerical solution of partial differential equations, and visualization of special functions.
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5: 2.7 Differential Equations
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§2.7(iv) Numerically Satisfactory Solutions
… ►In consequence, if a differential equation has more than one singularity in the extended plane, then usually more than two standard solutions need to be chosen in order to have numerically satisfactory representations everywhere. ►In oscillatory intervals, and again following Miller (1950), we call a pair of solutions numerically satisfactory if asymptotically they have the same amplitude and are out of phase.6: 18.38 Mathematical Applications
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Differential Equations: Spectral Methods
… ►Quadrature “Extended” to Pseudo-Spectral (DVR) Representations of Operators in One and Many Dimensions
…7: 36.15 Methods of Computation
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►For numerical solution of partial differential equations satisfied by the canonical integrals see Connor et al. (1983).
8: 11.2 Definitions
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§11.2(iii) Numerically Satisfactory Solutions
… ►(11.2.17) applies when with bounded away from the origin.9: 9.2 Differential Equation
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§9.2(iii) Numerically Satisfactory Pairs of Solutions
…10: 12.2 Differential Equations
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►All solutions are entire functions of and entire functions of or .
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