Cauchy-characteristic evolution and waveforms

DOI10.1006/jcph.1997.5754zbMath0896.65062OpenAlexW2107397561MaRDI QIDQ1368173

Jeffrey Winicour, Roberto Gómez, Paulo R. Holvorcem, Philippos Papadopoulos, Nigel T. Bishop, Richard A. Matzner

Publication date: 28 September 1997

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5754

zbMATH Keywords

wavesstabilityconvergencemethod of characteristicsgrid refinementartificial boundariesCauchy initial value problem

Mathematics Subject Classification ID

Wave equation (35L05) First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Extraction of gravitational waves in numerical relativity, Well-posed initial-boundary evolution in general relativity, Characteristic evolution and matching, Characteristic evolution and matching, Characteristic evolution and matching, Characteristic evolution and matching, Characteristic evolution and matching, A dissipative algorithm for wave-like equations in the characteristic formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• ``Free-space boundary conditions for the time dependent wave equation
• Non-reflecting boundary conditions
• Absorbing boundary conditions for second-order hyperbolic equations
• Time dependent boundary conditions for hyperbolic systems
• A comparative study of absorbing boundary conditions
• Approximation of radiation boundary conditions
• Evolution of scalar fields from characteristic data
• Absorbing boundary conditions, difference operators, and stability
• Nonreflecting boundary conditions for nonlinear hyperbolic systems
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• The parameter \(R^ 2\) in multiquadric interpolation
• Accurate Boundary Conditions for Exterior Problems in Gas Dynamics
• Characteristic initial data and wavefront singularities in general relativity
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Numerical relativity: combining the Cauchy and characteristic initial value problems
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• The eth formalism in numerical relativity
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions