Kernel optimum nearly-analytical discretization (KOND) algorithm applied to parabolic and hyperbolic equations

DOI10.1016/0898-1221(94)90047-7zbMath0796.65101OpenAlexW2073794775MaRDI QIDQ1324424

V. Pereyra

Publication date: 23 June 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90047-7

zbMATH Keywords

stabilitykernel optimum nearly-analytical discretization algorithmnonlinear wave propagations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• Unnamed Item
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A finite difference scheme for the heat conduction equation
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
• Flux-corrected transport. II: Generalizations of the method
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
• A method for reducing dispersion in convective difference schemes
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Multilevel Adaptive Computations in Fluid Dynamics
• Systems of conservation laws