Computational error and complexity in science and engineering

zbMath1076.65045MaRDI QIDQ1774498

Vangipuram Lakshmikantham, Syamal K. Sen

Publication date: 11 May 2005

Published in: Mathematics in Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/book/9780444518606

zbMATH Keywords

complexitylinear programmingTuring machinestextbookparallel computationnumerical differentiationfloating point numberssingular systemscomputational errorIEEE 754NP-problemeigenproblemsprobabilistic computationKarmarkar's algorithmP-problem

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Monte Carlo methods (65C05) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Research exposition (monographs, survey articles) pertaining to computer science (68-02) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Complexity and performance of numerical algorithms (65Y20) Numerical linear algebra (65Fxx) Theory of computing (68Qxx) Error analysis and interval analysis (65Gxx)

Related Items (13)

Best \(k\)-digit rational bounds for irrational numbers: pre- and super-computer era ⋮ A quasi-shrinking rectangle algorithm for complex zeros of a function ⋮ Best \(k\)-digit rational approximation of irrational numbers: pre-computer versus computer era ⋮ Heartfelt tribute to the person with an amazing legacy ⋮ Golden ratio versus pi as random sequence sources for Monte Carlo integration ⋮ Interpolation for nonlinear BVP in circular membrane with known upper and lower solutions ⋮ Chemical equation balancing: an integer programming approach ⋮ Zero-clusters of polynomials: best approach in supercomputing era ⋮ Solving linear program as linear system in polynomial time ⋮ Unnamed Item ⋮ Golden ratio in science, as random sequence source, its computation and beyond ⋮ How modeling can attract experimentalists to improve solar cell's efficiency: Divide-and-conquer approach ⋮ Gas flow problem: solving non-linear BVP with given lower-upper solutions interactively

Uses Software

• Matlab

This page was built for publication: Computational error and complexity in science and engineering