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Special issue on state of the art in self-validating numerical computations
Volume 26, Number 2-3
Publication Date: October 2009
Theory of an interval algebra and its application to numerical analysis [Reprint of Res. Assoc. Appl. Geom. Mem. 2 (1958), 29–46]
Teruo Sunaga; 125-143
Application of the Krawczyk--Moore--Jones Algorithm to Electric Circuit Analysis and Its Further Development
Kohshi Okumura; 145-167
Fast Verified Solutions of Linear Systems
Takeshi Ogita and Shin'ichi Oishi; 169-190
Algorithms for Accurate, Validated and Fast Polynomial Evaluation
Stef Graillat, Philippe Langlois and Nicolas Louvet; 191-214
Adaptive and Efficient Algorithm for 2D Orientation Problem
Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump and Shin'ichi Oishi; 215-231
A Numerical Verification Method for Two-Coupled Elliptic Partial Differential Equations
Yoshitaka Watanabe; 233-247
Inversion of Extremely Ill-Conditioned Matrices in Floating-Point
Siegfried M. Rump; 249-277
Direct Methods for Linear Systems with Inexact Input Data
Günter Mayer; 279-296
Verified Numerical Computation for Nonlinear Equations
Goetz Alefeld; 297-315
Numerical Verification Methods for Spherical $t$-Designs
Xiaojun Chen; 317-325
Numerical Existence Proof of Five Solutions for Certain Two-Transistor Circuit Equations
Yusuke Nakaya, Tetsuo Nishi, Shin'ichi Oishi and Martin Claus; 327-336
On Verified Numerical Computations in Convex Programming
Christian Jansson; 337-363
An Application of Taylor Models to the Nakao Method on ODEs
Nobito Yamamoto and Takashi Komori; 365-392
Recent Development in Rigorous Computational Methods in Dynamical Systems
Zin Arai, Hiroshi Kokubu and Paweł Pilarczyk; 393-417
Computer-Assisted Proofs for Semilinear Elliptic Boundary Value Problems
Michael Plum; 419-442
Numerical Verification Method of Solutions for Elliptic Equations and Its Application to the Rayleigh--Bénard Problem
Yoshitaka Watanabe and Mitsuhiro T. Nakao; 443-463
Iterative Refinement for Ill-Conditioned Linear Systems
Shin'ichi Oishi, Takeshi Ogita and Siegfried M. Rump; 465-476
Numerical Verification Method for Infinite Dimensional Eigenvalue Problems
Kaori Nagatou; 477-491
A Constructive A Priori Error Estimation for Finite Element Discretizations in a Non-Convex Domain Using Singular Functions
Kenta Kobayashi; 493-516
Computer Algebra for Guaranteed Accuracy. How Does It Help?
Masaaki Kanno and Hirokazu Anai; 517-530
2013 © The Japan Society for Industrial and Applied Mathematics
Japan Journal of Industrial and Applied Mathematics
