The Numerical Solution of Linear Boundary Value Problems

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Previous article Next article The Numerical Solution of Linear Boundary Value ProblemsS. D. ConteS. D. Contehttps://doi.org/10.1137/1008063PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Leslie Fox, Some numerical experiments with eigenvalue problems in ordinary differential equations, Boundary problems in differential equations, Univ. of Wisconsin Press, Madison, 1960, 243–255 MR0114302 0100.12602 Google Scholar[2] S. K. Godunov, Numerical solution of boundary-value problems for systems of linear ordinary differential equations, Uspehi Mat. Nauk, 16 (1961), 171–174 MR0141230 Google Scholar[3] David E. Muller, A method for solving algebraic equations using an automatic computer, Math. Tables Aids Comput., 10 (1956), 208–215 MR0083822 0072.34002 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Response of NLF Airfoils to Small Scale Turbulence31 July 2021 Cross Ref Porosity effect on the linear stability of flow overlying a porous medium10 June 2020 | The European Physical Journal E, Vol. 43, No. 6 Cross Ref , Vol. 142 Cross Ref Effect of viscous dissipation on finding dual solutions for mixed convection boundary layer flow for nanofluid18 July 2019 | Heat Transfer-Asian Research, Vol. 48, No. 6 Cross Ref Physics of Fluids, Vol. 31, No. 10 Cross Ref Numerical study for the BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field16 May 2018 | Boundary Value Problems, Vol. 2018, No. 1 Cross Ref Oscillatory instability in a weakly non-Boussinesq fluid layer with a deformable surfacePhysics of Fluids, Vol. 30, No. 7 Cross Ref Fluid flow in a spiral microfluidic ductPhysics of Fluids, Vol. 30, No. 4 Cross Ref Effect of Inertial Terms on Fluid–Porous Medium Flow Coupling1 November 2017 | Transport in Porous Media, Vol. 121, No. 1 Cross Ref Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh4 November 2014 | Computational and Applied Mathematics, Vol. 35, No. 2 Cross Ref Instability of plane-parallel flow of incompressible liquid over a saturated porous medium7 July 2016 | Physical Review E, Vol. 94, No. 1 Cross Ref Verification of the boundary condition at the porous medium–fluid interface28 March 2016 | EPJ Web of Conferences, Vol. 114 Cross Ref Injection into Supersonic Boundary LayersAIAA Journal, Vol. 54, No. 1 Cross Ref Stability of highly cooled hypervelocity boundary layers5 August 2015 | Journal of Fluid Mechanics, Vol. 778 Cross Ref Linear stability of a horizontal phase boundary subjected to shear motion16 July 2015 | The European Physical Journal E, Vol. 38, No. 7 Cross Ref Centrifugal instability of stratified two-phase flow in a curved channelPhysics of Fluids, Vol. 27, No. 5 Cross Ref Bifurcations of nonlinear normal modes via the configuration domain and the time domain shooting methodsCommunications in Nonlinear Science and Numerical Simulation, Vol. 20, No. 2 Cross Ref Absolute/convective instability of planar viscoelastic jetsPhysics of Fluids, Vol. 27, No. 1 Cross Ref On the disturbance evolution downstream of a cylindrical roughness element8 October 2014 | Journal of Fluid Mechanics, Vol. 758 Cross Ref Experimental Investigation of Gas Injection into the Boundary Layer on a Slender Body in Supersonic Flow13 June 2014 Cross Ref On the oscillatory Marangoni instability in a thin film heated from belowPhysics of Fluids, Vol. 26, No. 6 Cross Ref Revision of Engesser’s Approach to the Problem of Euler Stability for Built-Up Columns with Batten PlatesJournal of Engineering Mechanics, Vol. 140, No. 3 Cross Ref Flexural buckling of laced column with fir-shaped latticeJournal of Constructional Steel Research, Vol. 93 Cross Ref Shooting Methods for Linear Boundary Value Problems19 March 2014 Cross Ref Absolute instability in viscoelastic mixing layersPhysics of Fluids, Vol. 26, No. 1 Cross Ref The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value ProblemsInternational Journal of Computational Mathematics, Vol. 2014 Cross Ref Weakly nonlinear stages of boundary-layer transition initiated by modulated Tollmien–Schlichting waves12 September 2013 | Journal of Fluid Mechanics, Vol. 732 Cross Ref Linear stability analysis of a horizontal phase boundary separating two miscible liquids1 August 2013 | Physical Review E, Vol. 88, No. 2 Cross Ref A new superconvergent method for systems of nonlinear singular boundary value problems22 November 2012 | International Journal of Computer Mathematics, Vol. 90, No. 5 Cross Ref Analysis of the effects of a pulsed electromagnetic field on the dynamic response of electrically conductive compositesApplied Mathematical Modelling, Vol. 36, No. 12 Cross Ref Nonlinear instabilities of a non-self-similar boundary layer on an airfoil: Experiments, DNS, and theoryEuropean Journal of Mechanics - 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