<p><span style=color: rgba(23 43 77 1)>Computational modeling has become essential in the engineering field in recent years providing necessary analyses for real-life problems. Alongside this optimization techniques have evolved to enhance solutions across diverse problems. Recent advances including mesh-free methodologies and innovative finite element approaches have emerged to complete a powerful range of tools for accurately reproducing engineering mechanical problems. This reprint compiles the accepted articles from the Special Issue of&nbsp;</span><em style=color: rgba(23 43 77 1)>Mathematics</em><span style=color: rgba(23 43 77 1)>&nbsp;(MDPI) titled New Trends in Mathematical Modeling Analysis and Optimization for Engineering and Mechanics. It serves as a valuable resource for researchers working on advanced mathematical modeling numerical methods and optimization techniques in engineering and mechanics.</span></p>
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