Multipoint approach to the two-point boundary value problem

DOI10.1016/0022-247X(73)90006-1zbMath0266.34020MaRDI QIDQ2562431

K. H. Well, J. L. Tietze, Angelo Miele

Publication date: 1973

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Recent advances in gradient algorithms for optimal control problems, Solution of two-point boundary-value problems with Jacobian matrix characterized by large positive eigenvalues, Discrete weighted residual methods: A sensitive nonlinear boundary-value problem, A time-decomposition algorithm for a stiff linear two-point boundary- value problem and its application to a nonlinear optimal control problem, Parallel algorithms for solving nonlinear two-point boundary-value problems which arise in optimal control, Direct method for forming the optimal open loop control of aerial vehicles, On a method of solving sensitive boundary value problems, Optimal control, Parallel computation of two-point boundary-value problems via particular solutions

Cites Work

• Method of particular solutions for linear, two-point boundary-value problems
• On shooting methods for boundary value problems
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Quasilinearization and the methods of finite difference and initial values
• Multipoint solution of two-point boundary-value problems
• Modified quasilinearization method for solving nonlinear, two-point boundary-value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Multiple shooting method for two-point boundary value problems
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