An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
From MaRDI portal
Publication:4130902
DOI10.1137/0714006zbMath0358.65069OpenAlexW2036279989MaRDI QIDQ4130902
No author found.
Publication date: 1977
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://escholarship.org/uc/item/569825w9
Related Items
Efficient classes of Runge-Kutta methods for two-point boundary value problems, Application of a solution-adaptive method to fluid flow: Line and arclength approach, Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm, Multi-Level Adaptive Solutions to Boundary-Value Problems, A new tool for solving industrial continuous optimization problems, On the solution of nonlinear two-point boundary value problems on successively refined grids, On a fourth-order finite-difference method for singularly perturbed boundary value problems, Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem, A new mesh selection strategy for ODEs, The ideal MHD stability of line-tied coronal loops: A truncated Fourier series approach, Effect of suction on the subharmonic instability of compressible boundary layers, Uniform fourth order difference scheme for a singular perturbation problem, Exponentially fitted spline in compression for the numerical solution of singular perturbation problems, A Collocation Solver for Mixed Order Systems of Boundary Value Problems, Adaptive continuation algorithms with application to combustion problems, Asymptotic and numerical analysis of singular perturbation problems: A survey, Shooting Methods for Two‐Point BVPs with Partially Separated Endconditions, Nichtäquidistante Diskretisierungen von Randwertaufgaben, A stepsize control for continuation methods and its special application to multiple shooting techniques, Ideally plastic states of minimal-weight three-dimensional shells of revolution, Deferred corrections using uncentered end formulas, Shooting Methods for Two‐Point BVPs with Partially Separated Endconditions, On the use of Simpson's rule in renal models, A pseudospectral method for two-point boundary value problems, Solution of burner-stabilized premixed laminar flames by boundary value methods, Computation of steady laminar flow over a circular cylinder with third- order boundary conditions, Numerical methods for three-dimensional models of the urine concentrating mechanism, Grid adaptation and non-iterative defect correction for improved accuracy of numerical solutions of PDEs, Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs, Linear system solvers for boundary value ODEs, Parallel solution of almost block diagonal systems on the CRAY Y-MP using level 3 BLAS, Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals, Defect Correction for Two-Point Boundary Value Problems on Nonequidistant Meshes, On solving almost block diagonal (staircase) linear systems, Exponentially fitted variable two-step BDF algorithm for first order ODEs, Mesh selection for discrete solution of boundary problems in ordinary differential equations, Minimization of the truncation error by grid adaptation, Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems, High-order interpolants for solutionsof two-point boundary value problems using MIRK methods, Numerical solution of two-point boundary value problems, Limit equilibrium of reinforced shells of zero gaussian curvature, Runge-Kutta methods for the solution of stiff two-point boundary value problems, Campylotropic coordinates, Bibliography on the evaluation of numerical software, Continuous finite difference approximations for solving differential equations, Almost block diagonal linear systems: sequential and parallel solution techniques, and applications, A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems, Gaussian collocation via defect correction, A posteriori improvement of cubic spline approximate solution of two- point boundary value problem, Error estimation and iterative improvement for discretization algorithms, A free boundary approach and keller's box scheme for BVPs on infinite intervals, Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I, The Steady Viscous Flow of Two Differentially Rotating Immiscible Fluids, Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems, On improving the absolute stability of local extrapolation, Symbolic-numeric efficient solution of optimal control problems for multibody systems, Algorithms and data structures for adaptive multigrid elliptic solvers, A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems, Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems, A finite difference algorithm for coupled nonlinear ordinary differential equations, A survey of dynamically-adaptive grids in the numerical solution of partial differential equations, Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers, A-posteriori error estimation for finite element modifications of line methods applied to singularly perturbed partial differential equations, On the stability of mesh equidistribution strategies for time-dependent partial differential equations