A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations
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Publication:1651339
DOI10.1007/s10915-017-0603-8zbMath1422.65153OpenAlexW2770588781WikidataQ115603795 ScholiaQ115603795MaRDI QIDQ1651339
Jungho Yoon, Hyoseon Yang, Chang Ho Kim, Youngsoo Ha
Publication date: 12 July 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0603-8
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hamilton-Jacobi equations in mechanics (70H20) Hamilton-Jacobi equations (35F21)
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Cites Work
- Unnamed Item
- 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
- Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- An adaptive central-upwind weighted essentially non-oscillatory scheme
- A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes
- Fully multidimensional flux-corrected transport algorithms for fluids
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Discontinuous Galerkin method based on non-polynomial approximation spaces
- Fifth-order weighted power-ENO schemes for Hamilton-Jacobi equations
- WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations
- A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
- A systematic methodology for constructing high-order energy stable WENO schemes
- Very-high-order WENO schemes
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- 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
- A level set approach for computing solutions to incompressible two-phase flow
- High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
- Hermite WENO schemes for Hamilton-Jacobi equations
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- A second-order projection method for the incompressible Navier-Stokes 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
- WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces
- Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- 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
- User’s guide to viscosity solutions of second order partial differential equations
- Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes
- 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
- High-Resolution Nonoscillatory Central Schemes for Hamilton--Jacobi Equations
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
- Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems
- 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.
