# Numerical Analysis: Mathematics of Scientific Computing

@inproceedings{Kincaid1991NumericalAM, title={Numerical Analysis: Mathematics of Scientific Computing}, author={David R. Kincaid and Ward Cheney}, year={1991} }

This work treats numerical analysis from a mathematical point of view, demonstrating that the many computational algorithms and intriguing questions of computer science arise from theorems and proofs. Algorithms are developed in pseudocode, with the intention of making it easy for students to write computer routines in a number of standard programming languages, including BASIC, Fortran, C and Pascal.

## 851 Citations

Numerical continuation in classical mechanics and thermodynamics

- Physics
- 2015

In this paper, modern numerical continuation methodologies are presented as a way of understanding and computing multiplicity of solutions in undergraduate physics problems. Mechanical and…

A note on a family of quadrature formulas and some applications

- Mathematics
- 2008

In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss…

A construction procedure of iterative methods with cubical convergence II: Another convergence approach

- MathematicsAppl. Math. Comput.
- 1998

of Mathematics And its Applications OpenType Quadrature Methods with Equispaced Nodes and a Maximal Polynomial Degree of Exactness Research

- Mathematics
- 2017

In this paper we develop Open-Type Quadrature Method. If the interval of definite integral can divided a number of equal subinterval then We are using the nodes of Quadrature Method as mid-point of…

Solving a nonlinear equation by a uniparametric family of iterative processes

- MathematicsInt. J. Comput. Math.
- 1998

A convergence analysis for a real function depending of one real parameter α ∊ and it is proved that the authors can always apply a method of this family to solve f(x) = 0.

Algorithms and Complexity for some Multivariate Problems

- Computer Science, Mathematics
- 2019

This work studies multivariate problems like function approximation, numerical integration, global optimization and dispersion, and presents optimal algorithms for some of these problems on the information complexity $n(\varepsilon,d)$ ofThese problems.

Graphic and numerical comparison between iterative methods

- Mathematics
- 2002

generates a sequence {xn}n=0 that converges to ζ. In fact, Newton’s original ideas on the subject, around 1669, were considerably more complicated. A systematic study and a simplified version of the…

Iterative numerical methods for nonlinear systems

- Computer ScienceXRDS
- 2012

Some valuable techniques in mathematical modeling are presented by outlining basic, iterative numerical methods for solving nonlinear systems of equations.

Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations

- Mathematics
- 2017

Solution for Partial Differential Equations Involving Logarithmic Nonlinearities

- Mathematics
- 2011

In this paper, a modification of He's variational iteration method by using r terms of Taylor's series is applied for finding the solution of Kolmogorov-Petrovskii-Piskunov and Klein- Gordon…