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A Third-Order Scheme for Numerical Fluxes to Guarantee Non-Negative Coefficients for Advection-Diffusion Equations
Numerical Scheme, Numerical Analysis, Numerical Stability, Positivity Condition, Advection-Diffusion Equation, Advection Equation, High-Order Scheme, Godunov Theorem, Burgers’ Equation
2013/1/30
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes wi...
Extending Landau's Theorem on Dirichlet Series with Non-Negative Coefficients
Extending Landau's Theorem Non-Negative Coefficients
2010/11/26
A classical theorem of Landau states that, if an ordinary Dirichlet series has non-negative coefficients, then it has a singularity on the real line at its abscissae of absolute convergence.