High-order transverse schemes for the numerical solution of PDEs
DOI10.1016/S0377-0427(97)00090-3zbMath0899.65055MaRDI QIDQ1372044
Annamaria Mazzia, Francesca Mazzia
Publication date: 27 October 1998
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear boundary value problems for ordinary differential equations (34B05)
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Cites Work
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- Parallel implementation of block boundary value methods for ODEs
- Boundary value methods and BV-stability in the solution of initial value problems
- Convergence of method of lines approximations to partial differential equations
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
- General framework, stability and error analysis for numerical stiff boundary value methods
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- A new mesh selection strategy for ODEs
- Fourth-order difference methods for hyperbolic IBVPs
- The NUMOL solution of time-dependent PDEs using DESI Runge-Kutta formulae
- High-order multistep methods for boundary value problems
- Convergence and stability of boundary value methods for ordinary differential equations
- Parallel solution of almost block diagonal systems on a hypercube
- Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems
- The Asymptotic Spectra of Banded Toeplitz and Quasi-Toeplitz Matrices
- Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations
- Stable Parallel Algorithms for Two-Point Boundary Value Problems
- ODE solvers and the method of lines
- Stability and convergence of boundary value methods for solving ODE
- A biplicit spectral‐collocation‐type ansatz for the numerical integration of partial differential equations with the transversal method of lines
- A boundary value approach to the numerical solution of initial value problems by multistep methos†
- Numerical solution of second-order linear difference equations
- On the Stability of Differential Equations