Linear hybrid-variable methods for advection equations

DOI10.1007/s10444-018-9647-zzbMath1415.65212OpenAlexW2900235489MaRDI QIDQ2000505

Zeng, Xianyi

Publication date: 28 June 2019

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-018-9647-z

zbMATH Keywords

linear stabilitysuperconvergencehigh-order accuracyHermite interpolation polynomialslinear advection equationshybrid-variable interpolation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical differentiation (65D25) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

A central compact hybrid-variable method with spectral-like resolution: one-dimensional case

Uses Software

• HE-E1GODF

Cites Work

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• Compact accurately boundary-adjusting high-resolution technique for fluid dynamics
• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
• High resolution schemes for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• High resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Weighted essentially non-oscillatory schemes
• Efficient implementation of weighted ENO schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics
• Uniform Asymptotic Stability of Strang's Explicit Compact Schemes for Linear Advection
• Solving Ordinary Differential Equations I
• Hermite methods for hyperbolic initial-boundary value problems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• The Optimal Accuracy of Difference Schemes
• Generalized Leapfrog Methods
• Trigonometric Polynomials and Difference Methods of Maximum Accuracy
• Order Stars and a Saturation Theorem for First-order Hyperbolics
• Total variation diminishing Runge-Kutta schemes
• High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
• Finite Volume Methods for Hyperbolic Problems
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
• High Order Difference Methods for Time Dependent PDE
• Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
• Further Explicit Fifth-Order Runge-Kutta Formulas
• A space-time conservation element and solution element method for solving the two- and three-dimensional unsteady Euler equations using quadilateral and hexahedral meshes.

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