Application of Method of Collocation on Lines for Solving Nonlinear Hyperbolic Problems

DOI10.2307/2006425zbMath0358.65099OpenAlexW4254189226MaRDI QIDQ4130932

Elias N. Houstis

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2006425

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) First-order nonlinear hyperbolic equations (35L60)

Related Items

A Collocation Method for Fredholm Integral Equations of the Second Kind ⋮ On the ``inertial time in instability of materials with non-monotone yield stress ⋮ Finite element collocation approximation of the characteristic exponent in BVPs with periodic coefficients ⋮ A \(C^ 1\) finite element collocation method for the equations of one- dimensional nonlinear thermoviscoelasticity ⋮ Stability of radial basis collocation method for transient dynamics ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Dispersion and stability properties of radial basis collocation method for elastodynamics ⋮ Iterative solution of elliptic collocation systems on a cognitive parallel computer ⋮ On superconvergence techniques ⋮ Superconvergence phenomenon in the finite element method arising from averaging gradients ⋮ A collocation finite element method for integration of the boundary layer equations

Cites Work

• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
• A Finite Element Collocation Method for Quasilinear Parabolic Equations
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