A catalogue of the extra boundary conditions for the difference schemes approximating the hyperbolic equations

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Computer aided analysis of 1-D compressible flow problems in a Lagrangian particle description using the \(\alpha\) method

Cites Work

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Classification of difference schemes of gas dynamics by the method of differential approximation. II. Two-dimensional case
On the practical use of high-order methods for hyperbolic systems
On boundary conditions for hyperbolic difference schemes
Boundary conditions for multistep finite-difference methods for time- dependent equations
Classification of difference schemes of gas dynamics by the method of differential approximation. I. One-dimensional case
Boundary conditions in finite difference fluid dynamic codes
On boundary conditions for the numerical solution of hyperbolic differential equations
On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods
Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
Dissipative Two-Four Methods for Time-Dependent Problems
On a Boundary Extrapolation Theorem by Kreiss
An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries
Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. I
Fourth Order Difference Methods for the Initial Boundary-Value Problem for Hyperbolic Equations
Systems of Difference Equations with General Homogeneous Boundary Conditions
Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I

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