A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations

DOI10.1016/j.apnum.2021.01.020zbMath1475.65073OpenAlexW3127942350WikidataQ115586227 ScholiaQ115586227MaRDI QIDQ2029116

Youngsoo Ha, Chang Ho Kim, Hyoseon Yang, Jungho Yoon

Publication date: 3 June 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.01.020

zbMATH Keywords

Hamilton-Jacobi equationapproximation orderexponential polynomialsWENO schemesmoothness indicatorsexponential vanishing moment

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Hamilton-Jacobi equations (35F21)

Related Items (4)

Hamilton-Jacobi-Bellman-Isaacs equation for rational inattention in the long-run management of river environments under uncertainty ⋮ A smoothness indicators free third-order weighted ENO scheme for gas-dynamic Euler equations ⋮ Physics-informed neural networks based on adaptive weighted loss functions for Hamilton-Jacobi equations ⋮ High-order weighted compact nonlinear scheme for one- and two-dimensional Hamilton-Jacobi equations

Cites Work

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• Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
• Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
• A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
• Mapped WENO schemes based on a new smoothness indicator for Hamilton-Jacobi equations
• Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
• Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes
• A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
• High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
• A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations
• An improved third-order WENO-Z scheme
• Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations
• Improvement of third-order WENO-Z scheme at critical points
• Hermite WENO schemes for Hamilton-Jacobi equations
• High-order schemes for Hamilton--Jacobi equations on triangular meshes
• High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations
• Efficient implementation of weighted ENO schemes
• Construction of an improved third-order WENO scheme with a new smoothness indicator
• Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations. II: Unstructured meshes
• Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations
• Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton-Jacobi equations
• Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• A Viscosity Solutions Approach to Shape-From-Shading
• User’s guide to viscosity solutions of second order partial differential equations
• High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
• High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
• Finite Volume Hermite WENO Schemes for Solving the Hamilton-Jacobi Equation
• Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes
• Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials
• High order numerical discretization for Hamilton-Jacobi equations on triangular meshes.

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