Algorithm 1041: HiPPIS -- a high-order positivity-preserving mapping software for structured meshes

Cites Work

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Positivity-preserving method for high-order conservative schemes solving compressible Euler equations
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
Numerical experiments on the accuracy of ENO and modified ENO schemes
A numerical study of the convergence properties of ENO schemes
Positivity-preserving interpolation of positive data by rational cubics
Positivity of cubic polynomials on intervals and positive spline interpolation
Positive interpolation with rational quadratic splines
On spatial adaptivity and interpolation when using the method of lines
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
Scalar conservation and boundedness in simulations of compressible flow
On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions
Nonlinear data-bounded polynomial approximations and their applications in ENO methods
Numerical study of combustion effects on the development of supersonic turbulent mixing layer flows with WENO schemes
Positivity preserving interpolation using rational bicubic spline
On choosing ``optimal shape parameters for RBF approximation
ENO-based high-order data-bounded and constrained positivity-preserving interpolation
High Degree Polynomial Interpolation in Newton Form
Monotone Piecewise Cubic Interpolation
Positivity Conditions for Quartic Polynomials
Algorithm 770: BVSPIS—a package for computing boundary-valued shape-preserving interpolating splines
High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
Balancing Space and Time Errors in the Method of Lines for Parabolic Equations
Direct Function Evaluation versus Lookup Tables: When to Use Which?
Mathematics of Surfaces XI
Adaptive Polynomial Interpolation on Evenly Spaced Meshes
Adaptive Timestepping for Elastohydrodynamic Lubrication Solvers
Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation
Range restricted scattered data interpolation using convex combination of cubic Bézier triangles
Algorithm 1031: MQSI -- monotone quintic spline interpolation

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