Existence of Gauss Interpolation Formulas for the One-Dimensional Heat Equation

DOI10.2307/2005426zbMath0346.65038OpenAlexW4255786053MaRDI QIDQ4116004

David L. Barrow

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2005426

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Gauss Interpolation Formulas and Totally Positive Kernels ⋮ An algorithm for Gauss harmonic formulas

Cites Work

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• Analytic solutions of the heat equation
• Nonnegative interpolation formulas for uniformly elliptic equations
• Expansions in Terms of Heat Polynomials and Associated Functions
• Gauss formulas for the Dirichlet problem
• Some Interpolation Formulas for the Neumann Problem for the n-Sphere
• Complete Families of Solutions for Parabolic Equations with Analytic Coefficients
• The approximation of solutions to initial boundary value problems for parabolic equations in one space variable
• Existence of Gauss Harmonic Interpolation Formulas
• Gauss harmonic interpolation formulas