Book Description:
Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic methods. Computation in the research is prominent. Computational mathematics emerged as a distinct part of applied mathematics by early 1950s. This new and important book gathers the latest research from around the globe in the study of this dynamic field and highlights such topics as: coherence-homotopies of higher order, Vandermonde Systems: theory and application, numerical conformal mappings for waveguides, computational study of 3D affine transformation, commutativity formulas for fundamental group entropy, the completion of fuzzy metric spaces, and others.

Table of Contents:
Preface

Analytical and Numerical Methods in the Linear Stability Study of Ideal Flows on a Sphere, pp. 1-34
(Yuri N. Skiba, Centro de Ciencias de la Atmósfera, Universidad Nacional Autónoma de México, Mexico)

Pure and Mixed Mathematics in the Work of Leonhard Euler, pp. 35-62
(Giovanni Ferraro, University of Molise, Campobasso, Italy)

Applications of Computational Geometry to Problems of Political Competition, pp. 63-84
(M. Dolores López, Javier Rodrigo, Sagrario Lantarón, Department of Applied Mathematical and Computer Science, Higher Technical School of Civil Engineering, Polytechnic University of Madrid, Madrid, Spain)

Coherence – Homotopies of Higher Order, pp. 85-116
(Nikita Shekutkovski, Institute of Mathematics, Faculty of Natural Sciences and Mathematics, UKIM, Skopje, Republic of Macedonia)

Stable MFS-Based Solution to Singular and Non-Singular Inverse Problems for Two-Dimensional Helmholtz-Type Equations, pp. 117-172
(Liviu Marin, Institute of Solid Mechanics, Romanian Academy, Bucharest, Romania)

Vandermonde Systems: Theory and Applications, pp. 173-200
(Giuseppe Fedele, Department of Electronics, Computer and System Science, University of Calabria, Rende, Italy)

A Comparative Study of Different Semilocal Convergence Results Applied to Kepler’s Equation, pp. 201-212
(M.A. Dilone, J.M. Gutierrez, Instituto Nacional de Actualizacion, Dominican Republic, and others)

Discrete Maximum Principles for FEM Solutions of Nonlinear Elliptic Systems, pp. 213-260
(Janos Karatson, Sergey Korotov, Department of Applied Analysis and Computational Mathematics, Eotvos Lorand University, Budapest, Hungary, and others)

Numerical Conformal Mappings for Waveguides, pp. 261-278
(Anders Andersson, International Centre for Mathematical Modelling, School of Engineering, Vaxjo University, Sweden)

Computational Study of the 3D Affine Transformation, pp. 279-312
(Béla Paláncz, Piroska Zaletnyik, Joseph L. Awange, Robert
H. Lewis, Department of Photogrammetry and Geoinformatics, Budapest University of Technology and Economics, Budapest, Hungary)

Distances Based on Neighborhood Sequences in the Triangular Grid, pp. 313-352
(Benedek Nagy, Faculty of Mathematics and Informatics, University of Debrecen, Hungary)

A Stream in the Study on Normality of Products, pp. 353-386
(Yukinobu Yajima, Department of Mathematics, Kanagawa University, Yokohama, Japan)

The Completion of Fuzzy Metric Spaces and of Other Related Structures, pp. 387-402
(Salvador Romaguera, Escuela de Caminos, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Spain)

Homotopies and the Instability of Economic Equilibria, pp. 405-434
(Debora Di Caprio, Francisco J. Santos-Arteaga, School of Economics and Management, Free University of Bozen, Bolzano, Italy)

MinggenCui(1942-)Biographical Article, pp. 435-438
(Fazhan Geng and Wei Jiang, Department of Mathematics, Harbin Institute of Technology, Shandong, P.R.China)

Index pp.439-443