Recent advances in computational and applied mathematics

✍ Scribed by Luigi Brugnano, Francesca Mazzia (auth.), Theodore E. Simos (eds.)

• Publisher: Springer Netherlands
• Year: 2011
• Tongue: English
• Leaves: 323
• Edition: 1
• Category: Library

✦ Synopsis

This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics.

The book gives a comprehensive account of a variety of topics including – Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two point Boundary Value Problems; Advances on collocation based numerical methods for Ordinary Differential Equations and Volterra Integral Equations; Basic Methods for Computing Special Functions, Melt Spinning: Optimal Control and Stability Issues; Brief survey on the CP methods for the Schrödinger equation; Symplectic Partitioned Runge-Kutta methods for the numerical integration of periodic and oscillatory problems.

Recent Advances in Computational and Applied Mathematics is aimed at advanced undergraduates and researchers who are working in these fast moving fields.

✦ Table of Contents

Front Matter....Pages I-XII
Fifty Years of Stiffness....Pages 1-21
Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two Point Boundary Value Problems....Pages 23-39
Advances on Collocation Based Numerical Methods for Ordinary Differential Equations and Volterra Integral Equations....Pages 41-66
Basic Methods for Computing Special Functions....Pages 67-121
Melt Spinning: Optimal Control and Stability Issues....Pages 123-141
On Orthonormal Polynomial Solutions of the Riesz System in ℝ 3 ....Pages 143-158
Brief Survey on the CP Methods for the Schrödinger Equation....Pages 159-168
Symplectic Partitioned Runge-Kutta Methods for the Numerical Integration of Periodic and Oscillatory Problems....Pages 169-208
On the Klein-Gordon Equation on Some Examples of Conformally Flat Spin 3-Manifolds....Pages 209-226
A Survey of hp -Adaptive Strategies for Elliptic Partial Differential Equations....Pages 227-258
Vectorized Solution of ODEs in Matlab with Control of Residual and Error....Pages 259-271
Forecasting Equations in Complex-Quaternionic Setting....Pages 273-287
Symplectic Exponentially-Fitted Modified Runge-Kutta Methods of the Gauss Type: Revisited....Pages 289-306
Back Matter....Pages 307-310

✦ Subjects

Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Applications of Mathematics; Math Applications in Computer Science