Numerical solution of two-point boundary value problems

DOI10.1016/0021-9991(90)90104-9zbMath0692.65040OpenAlexW2068926532MaRDI QIDQ583854

Stefano Rebay, Luigi Quartapelle

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90104-9

zbMATH Keywords

hydrodynamic stabilityeigenvaluestiff problemstwo-point boundary value problemsintegral conditionsiterative refinementlinear multipoint schemesOrr-Sommerfeld eigenproblemsystem of first order equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items

A shooting method for nonlinear heat transfer using automatic differentiation, A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics, An introduction to finite element methods for transient advection problems, The Blasius problem formulated as a free boundary value problem, Solving the boundary value problem for finite Kirchhoff rods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978
• A Chebyshev method for the solution of boundary value problems
• An automatic orthonormalization method for solving stiff boundary-value problems
• The compound matrix method for ordinary differential systems
• Spectral algorithms for vector elliptic equations in a spherical gap
• Continuous orthonormalization for boundary value problems
• Computational methods in engineering boundary value problems
• A numerical method for linear two-point boundary-value problems using compound matrices
• An initial value method for eigenvalue problems using compound matrices
• On one-dimensional stretching functions for finite-difference calculations
• The evaluation of the zeros of ill-conditioned polynomials. I, II
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• The Close Relationships between Methods for Solving Two-Point Boundary Value Problems
• Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder
• Decoupling and Stability of Algorithms for Boundary Value Problems
• The Stabilized March is Stable
• Projection conditions on the vorticity in viscous incompressible flows
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• Accurate solution of the Orr–Sommerfeld stability equation
• On the stability of plane Couette flow to infinitesimal disturbances
• Calculation of the steady flow past a sphere at low and moderate Reynolds numbers
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations