This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. 

The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.

Preface: Modern Challenges in Applied Mathematics, Modeling and Computational Science (R. Melnik, R. Makarov, J. Belair).- Simplified geometric minimum action method for the estimation of the pathway and rate of infrequent transition events (T. Grafke, T. Schafer, E. Vanden-Eijnden).- About non linear stabilization for scalar hyperbolic problems (R. Abgrall).- Adaptive simulation selection for the discovery of the ground state line of binary alloys with a limited computational budget (J. Kristensen, I. Bilionis, N. Zabaras).- Recent developments in spectral element simulations of moving-domain problems (P. Fischer, M. Schmitt, A. Tomboulides).- Calculation of exposure profiles and sensitivities of options under the Heston and Heston Hull-White models (Q. Feng, C.W. Oosterlee).- A note on independence copula for conditional Markov chains (T. Biel