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The Solution of Nonlinear Elliptic Dirichlet Problems on Rectangles by Almost Globally Convergent Interval Methods

https://doi.org/10.1137/0906043
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-7091-8471-4_2openalex-snapshot
Über die Durchführbarkeit des Gaußschen Algorithmus bei Gleichungen mit Intervallen als Koeffizienten
inferredcites →https://doi.org/10.1007/bf02240186openalex-snapshot
A symmetric iterative interval method for systems of nonlinear equations
inferredcites →https://doi.org/10.1007/bf02252030openalex-snapshot
Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
inferredcites →https://doi.org/10.1137/0712026openalex-snapshot
Aspects of Nonlinear Block Successive Overrelaxation
inferredcites →https://doi.org/10.1137/0905032openalex-snapshot
An Interval Arithmetic Approach for the Construction of an Almost Globally Convergent Method for the Solution of the Nonlinear Poisson Equation on the Unit Square
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.2307/2004942openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-16811-7_159openalex-snapshot
Multitasking algorithms on CRAY computers for interval arithmetic Newton-like methods for a class of systems of nonlinear equations
inferred← citeshttps://doi.org/10.1007/978-3-540-74484-9_25openalex-snapshot
Two-Stage Interval Krawczyk-Schwarz Methods with Applications to Nonlinear Parabolic PDE
inferred← citeshttps://doi.org/10.1007/bf02240179openalex-snapshot
Iterative methods for systems of equations with interval coefficients and linear form
inferred← citeshttps://doi.org/10.1007/bf03167759openalex-snapshot
Interval arithmetic multistep methods for nonlinear systems of equations
inferred← citeshttps://doi.org/10.1016/0167-8191(87)90030-5openalex-snapshot
An interval arithmetic method for the solution of nonlinear systems of equations on a vector computer
inferred← citeshttps://doi.org/10.1016/0168-9274(87)90052-3openalex-snapshot
Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations
inferred← citeshttps://doi.org/10.1016/0168-9274(89)90047-0openalex-snapshot
Truncated interval arithmetic block cyclic reduction
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00083-dopenalex-snapshot
Asynchronous parallel methods for enclosing solutions of nonlinear equations
inferred← citeshttps://doi.org/10.1016/0377-0427(94)90324-7openalex-snapshot
An interval arithmetic domain decomposition method for a class of elliptic PDEs on nonrectangular domains
inferred← citeshttps://doi.org/10.1016/0743-7315(87)90019-0openalex-snapshot
Interval arithmetic block cyclic reduction on vector computers
inferred← citeshttps://doi.org/10.1016/j.cam.2005.07.042openalex-snapshot
Parallel interval Newton-like Schwarz methods for almost linear parabolic problems
inferred← citeshttps://doi.org/10.1016/s0168-9274(01)00028-9openalex-snapshot
Stability analysis of segregated solution methods for compressible flow
inferred← citeshttps://doi.org/10.1023/a:1011407223334openalex-snapshot
Synchronous and Asynchronous Interval Newton-Schwarz Methods for a Class of Large Systems of Nonlinear Equations
inferred← citeshttps://doi.org/10.1109/scan.2006.34openalex-snapshot
On the interval Gaussian algorithm
inferred← citeshttps://doi.org/10.1137/0611006openalex-snapshot
Block Methods for the Solution of Linear Interval Equations
inferred← citeshttps://doi.org/10.1137/0723022openalex-snapshot
Almost Globally Convergent Interval Methods for Discretizations of Nonlinear Elliptic Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/0727047openalex-snapshot
Preconditioners for the Interval Gauss–Seidel Method
inferred← citeshttps://doi.org/10.12921/cmst.2016.0000048openalex-snapshot
Solving the Generalized Poisson Equation in Proper and Directed Interval Arithmetic
inferred← citeshttps://doi.org/10.2478/fcds-2013-0009openalex-snapshot
Interval Versions of Central-Difference Method for Solving the Poisson Equation in Proper and Directed Interval Arithmetic
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