Special Issue on Finite Difference Methods: Recent Developments and Applications in Computational Science

Computational Science is a rapidly growing interdisciplinary field concerned with constructing mathematical models, numerical approximations of forward and inverse problems, quantitative analysis techniques, and using advanced computing capabilities to analyze, investigate and solve a wide range of complex problems in the natural and social sciences, medicine, and engineering, among others.

Finite difference approximations of differential equations are one of the oldest and simplest methods which are frequently used for computing approximate solutions of the underlying equations modeling complex phenomenon. With the availability of ever more powerful computational resources, the large but finite algebraic system of equations arising from finite difference approximations can be easily solved on present day computers, and the resulting efficient algorithms provide gold standards to beat for other approximation techniques.

Modeling and simulation tools based on Finite Difference techniques find increasing applications not only in fundamental research, but also in several real-world applications. However, the simplicity and efficiency of Finite Difference Methods comes at the cost of reduced accuracy and stability in the approximation of problems involving heterogenieties and nonsmooth interfaces.

The objective of this special issue is to present recent important developments in the construction, analysis and simulation of approximation techniques based on the Finite Difference Method (FDM) that address these and other limitations of the FDMs and provide efficient solutions to advance research in this area. High-quality original contributions to this special issue are invited from researchers working in this area.

TOPICS

Potential topics include but are not limited to the following:

· (High order) FDMs for Elliptic, Parabolic and Hyperbolic Problems

· (High order) FDMs for Initial and Boundary Value Problems

· Alternating Direction Implicit FDMs

· Compact and Symplectic FDMs

· Nonstandard FDMs, positivity-preserving, convexity preserving schemes

· High Order Operator Splitting based FDMs; Mimetic FDMs

· Adaptive Mesh Refinement in FDMs

· Multiscale Methods based on FDMs

· FDMs on unbounded domains and on domains with irregular geometry

· Irregular Grid FDMs

· Element-free and Meshless FDMs

· Parallel FD methods, FDMs on GPUs

· Applications of FDMs in Physics, Chemistry, Biology, Finance andEngineering.

IMPORTANT DATES

· Sept 16, 2018: Call for papers.

· April 1, 2019: Deadline for Initial Paper Submission.

· June 30, 2019: Notification of First Round Decision.

· July 30, 2019: Deadline for Revised Paper Submission.

· August 30, 2019: Deadline 2nd review decision.

· September 30, 2019: Deadline for 2nd revision.

· October 30 , 2019: Deadline for final decision.

· December 15, 2019: Target publication date.

GUEST EDITORS

Prof. Dr. Bhaskar Chaudhury ( bhaskar_chaudhury@daiict.ac.in )

DA-IICT, Gandhinagar, India

Prof. Dr. Matthias Ehrhardt ( ehrhardt@uni-wuppertal.de )

University of Wuppertal, Wuppertal, Germany

Prof. Dr. Vrushali Bokil ( bokilv@math.oregonstate.edu )

Oregon State University, Corvallis, Oregon, USA

SUBMISSION AND REVIEW OF PAPERS

Submitted papers should be original and are not be under consideration elsewhere for publication. The authors should follow the journal guidelines, regarding the manuscript content and its format when preparing their manuscripts. All papers will be reviewed by at least two independent reviewers for their suitability in terms of technical novelty, scientific rigor, scope, and relevance to this special issue. Once your manuscript is accepted, it will go into production, and will be simultaneously published in the current regular issue and pulled into the online Special Issue. Articles from this Special Issue will appear in different regular issues of the journal, though they will be clearly marked and branded as Special Issue articles.

Please select article type name of “VSI: FDM-Computational Science ” during submission process.

https://www.journals.elsevier.com/journal-of-computational-science/call-for-...