Interval arithmetic multistep methods for nonlinear systems of equations
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Publication:3809135
DOI10.1007/BF03167759zbMath0659.65057MaRDI QIDQ3809135
Publication date: 1987
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
iterative methodsConvergenceinterval arithmeticNewton methodasynchronous computationNumerical examplesKrawczyk methodmultistep interval methodssinglestep interval methods
Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)
Related Items (3)
Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations ⋮ Asynchronous parallel methods for enclosing solutions of nonlinear equations ⋮ Efficient methods for enclosing solutions of systems of nonlinear equations
Cites Work
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- An interval arithmetic method for the solution of nonlinear systems of equations on a vector computer
- Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
- 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
- On the Acceleration of an Interval-Arithmetic Iteration Method
- Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
- The Solution of Nonlinear Elliptic Dirichlet Problems on Rectangles by Almost Globally Convergent Interval Methods
- Almost Globally Convergent Interval Methods for Discretizations of Nonlinear Elliptic Partial Differential Equations
- Cyclic Reduction for Tridiagonal Systems of Equations with Interval Coefficients on Vector Computers
- Aspects of Nonlinear Block Successive Overrelaxation
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