It is undoubted that mathematical problems in the last decade grew remarkably larger due to both the advances in the technology as well as the ability to generate and collect data. This has allowed us to obtain highly realistic empirical models. As a consequence, the vast availability of the data reveals several difficulties in solving the problems caused by the high nonlinearity, dimensionality and complexity. This challenges several researchers to develop new computational methods that are capable of handling such complication. This Special Issue is calling for the novel contributions in Computational Methods for Large-Scale Nonlinear Problems which includes almost any methods of HPC as well as interesting applications to computer science, data science and machine learning, economics, finance, physical and life sciences, engineerings and medicine.

Please find the full Call for Papers here

The theory of fractional-order integro-differential operators (fractional calculus, for short) has been one of those areas in mathematics which has undergone a tremendous development in the last decades. Indeed, various fractional derivatives have been introduced in the literature to extend the traditional calculus and to provide more accurate descriptions of processes in physics, chemistry and biology. From the analytic point of view, the theory of fractional-order integro-differential operators has contributed decisively to the development of other areas in mathematics, including ordinary and partial differential equations, numerical analysis, calculus of variations, optimization theory. From a more pragmatic point of view, some important applications of fractional calculus have been found in physics, biology, chemistry and engineering, and new applications are frequently proposed to other areas of the sciences and to the development of new technology. Needless to mention that the speed at which this area expands is vertiginous.

Please find the full Call for Papers here

Mathematical modelling of problems arising in engineering, physics, mechanics, etc. leads in many cases, directly or after a discretization process to solving systems of linear equations of finite dimension. Besides, other problems of Numerical Analysis, such as approximation, interpolation, nonlinear systems, computation of eigenvalues, etc., lead to the resolution of large systems. Thus, it is essential to develop efficient numerical Linear Algebra methods, in both sequential and parallel environments, to solve them. The main purpose of this Special Issue is to collect the most recent methods for solving such problems and applications from a multidisciplinary approach.

Please find the full Call for Papers here

Deadline for submissions: June 30, 2021
For more information, contact the Guest Editors: Luca Bergamaschi, Fernando de Teran or Pedro Alonso

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Recent Advances in Computing Techniques in Applied Science
Guest Editors: J. K. Mandal, Subarna Shakya, Sumanta Bhattacharyya & Rajesh De

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Selected Papers from on Advances in Differential Equations and Numerical Analysis
Guest Editors: S. Natesan & J. Vigo-Aguiar