A one-sweep numerical method for vector-matrix difference equations with two-point boundary conditions

DOI10.1007/BF00932581zbMath0193.12801OpenAlexW2080008729MaRDI QIDQ2538450

Yanyan Li

Publication date: 1970

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00932581

zbMATH Keywords

numerical analysis

Related Items (14)

Computational methods for discrete boundary value problems ⋮ Monotone iterative methods for a general class of discrete boundary value problem ⋮ On the numerical solution of two point discrete boundary value problems ⋮ System concepts in Kron's polyhedron model and the scattering problem ⋮ A method of orthogonal directions. III: Estimation algorithms of Chandrasekhar and Cholesky types for discrete-time, nonconstant models ⋮ A method of characteristics and invariant imbedding for distributed control problems ⋮ The formulation of invariant imbedding method to solve multipoint discrete boundary value problems ⋮ On nonlinear discrete boundary value problems ⋮ Initial-value problems in potential theory ⋮ On multipoint boundary value problems for discrete equations ⋮ Initial-value methods for discrete boundary value problems ⋮ Fast elliptic solvers - an overview ⋮ On discrete boundary value problems arising in transport phenomena ⋮ A new shooting method for multi-point discrete boundary value problems

Cites Work

• A building block technique for elliptic boundary-value problems over irregular regions
• Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems
• The diagonal decomposition technique applied to the dynamic programming solution of elliptic partial differential equations
• Tensor product analysis of partial difference equations
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations
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