Existence and enclosure results for continua of solutions of parameter- dependent nonlinear boundary value problems
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Publication:1900760
DOI10.1016/0377-0427(94)00091-EzbMath0834.65119MaRDI QIDQ1900760
Publication date: 23 October 1995
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Interval and finite arithmetic (65G30) Parallel numerical computation (65Y05) Applications to the sciences (65Z05)
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Cites Work
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- On the monotone convergence of Newton's method
- Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
- Bounds for eigenvalues of second-order elliptic differential operators
- Explicit \(H_ 2\)-estimates and pointwise bounds for solutions of second- order elliptic boundary value problems
- Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems
- Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points
- Optimale Eigenwerteinschließungen
- A numerical approach to the proof of existence of solutions for elliptic problems II
- An Existence and Inclusion Method for Two‐Point Boundary Value Problems with Turning Points
- Equivalent Norms for Sobolev Spaces
- Approximate Solutions of Transport Problems. II. Convergence and Applications of the Discrete Ordinate Method