Symmetric hyperbolic difference schemes and matrix problems

DOI10.1016/0024-3795(77)90025-8zbMath0382.65046OpenAlexW2072073816MaRDI QIDQ1247733

Eli Turkel

Publication date: 1977

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90025-8

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Higher-order hyperbolic systems (35L55)

Related Items

The stability of MacCormack's method for the scalar advection equation, The exact region of stability for MacCormack scheme, On the numerical radius and its applications, Effect of boundary vorticity discretization on explicit stream-function vorticity calculations, On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions, The exact stability region of the MacCormack scheme for the scalar advection equation, Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems, Classification of difference schemes of gas dynamics by the method of differential approximation. II. Two-dimensional case, Dissipative Two-Four Methods for Time-Dependent Problems, Complex symmetric matrices with strongly stable iterates

Cites Work

• Unnamed Item
• On proving stability of multidimensional difference schemes
• Multidimensional difference schemes with fourth-order accuracy
• Numerical stabilizers and computing time for second-order accurate schemes
• On two step Lax-Wendroff methods in several dimensions
• Seven-Point Difference Schemes for Hyperbolic Equations
• On difference approximations of the dissipative type for hyperbolic differential equations
• A difference method for plane problems in dymanic elasticity
• Some Remarks on the Lax-Wendroff Finite-Difference Scheme for Nonsymmetric Hyperbolic Systems
• Difference schemes for hyperbolic equations with high order of accuracy
• Symmetric hyperbolic linear differential equations