The Application of Implicit Runge-Kutta and Collocation Methods to Boundary-Value Problems
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Publication:4772115
DOI10.2307/2005918zbMath0284.65067OpenAlexW4247675975MaRDI QIDQ4772115
Publication date: 1974
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2005918
Related Items (27)
Efficient classes of Runge-Kutta methods for two-point boundary value problems ⋮ The Method of Envelopes ⋮ New interpolants for asymptotically correct defect control of BVODEs ⋮ Validation of results of collocation methods for ODEs with CADNA library ⋮ Higher order methods for a singularly perturbed problem ⋮ Nichtäquidistante Diskretisierungen von Randwertaufgaben ⋮ Collocation and residual correction ⋮ High order methods for the numerical solution of two-point boundary value problems ⋮ A modified Lobatto collocation for linear boundary value problems of differential-algebraic equations ⋮ Estimating conditioning of BVPs for ODEs ⋮ Collocation method and residual correction using Chebyshev series ⋮ Collocation method via Jacobi polynomials for solving nonlinear ordinary differential equations ⋮ A refinement process for collocation approximations ⋮ A note on partial pivoting and Gaussian elimination ⋮ Runge-Kutta methods for the solution of stiff two-point boundary value problems ⋮ A high order method for the numerical solution of two-point boundary value problems ⋮ Numerical solution of Hopf bifurcation problems ⋮ Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems ⋮ Gaussian collocation via defect correction ⋮ Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I ⋮ Collocation for systems of boundary value problems ⋮ On some difference schemes for singular singularly-perturbed boundary value problems ⋮ Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems ⋮ Multiderivative Runge-Kutta processes for two-point boundary value problems ⋮ A Newton-Picard collocation method for periodic solutions of delay differential equations ⋮ Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers ⋮ Comparison of time and spatial collocation methods for the heat equation
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