scientific article; zbMATH DE number 3493812

zbMath0315.65050MaRDI QIDQ4076701

F. de Schutter, Robert Vichnevetsky

Publication date: 1975

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Unnamed Item, Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport, Group velocity and reflection phenomena in numerical approximations of hyperbolic equations, Propagation properties of semi-discretizations of hyperbolic equations, On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations, New optimized fourth-order compact finite difference schemes for wave propagation phenomena, The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation, Optimized finite-difference (DRP) schemes perform poorly for decaying or growing oscillations, Discretization error associated with reproducing kernel methods: One-dimensional domains, Energy and group velocity in semi discretizations of hyperbolic equations, Finite difference approximations of first derivatives for two-dimensional grid singularities, Mean squared accuracy of numerical approximations of partial differential equations, Computer generation of difference approximations, Unnamed Item

Cites Work

• Hyperbolic systems of conservation laws II
• On Centered Difference Equations for Hyperbolic Systems
• Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems
• Optimal Few-Point Discretizations of Linear Source Problems
• The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
• Systems of conservation laws
• Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory
• Difference schemes for hyperbolic equations with high order of accuracy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item