Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations

Author:

Schwandt Hartmut

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference17 articles.

1. Introduction to Interval Computations;Alefeld,1983

2. Numerical Methods for Partial Differential Equations;Ames,1977

3. Applications of fast Poisson solvers to the numerical approximation of parabolic problems;Buzbee,1972

4. Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method;Concus;Computing,1978

5. The acceleration of an interval-arithmetic iterative method;Cornelius;SIAM J. Numer. Math.,1983

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Asynchronous parallel methods for enclosing solutions of nonlinear equations;Journal of Computational and Applied Mathematics;1995-06

2. An interval arithmetic domain decomposition method for a class of elliptic PDEs on nonrectangular domains;Journal of Computational and Applied Mathematics;1994-05

3. Interval Analysis;Handbook of Differential Equations;1992

4. Memory access problems in block cyclic reduction on vector computers;Parallel Computing;1991-06

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