Dr. Mehdi Dehghan stands as a preeminent figure in the field of computational mathematics, renowned for his exceptional contributions to numerical analysis and applied mathematics. He currently serves as a distinguished Professor in the Department of Mathematics and Computer Science at Amirkabir University of Technology (Tehran Polytechnic), where his academic leadership has significantly shaped the institution's research trajectory. With an impressive h-index of 88 according to Scopus and over 33,000 citations to his name, his scholarly impact extends across the global mathematical community. Dr. Dehghan's academic journey has been marked by consistent excellence, establishing him as one of Iran's most influential mathematical scientists with international recognition.
Professor Dehghan's groundbreaking research has fundamentally advanced the field of numerical methods for partial differential equations, particularly through his pioneering work on meshless techniques and computational approaches to complex mathematical problems. His development of the element-free Galerkin method and other innovative numerical frameworks has provided powerful tools for solving time-dependent partial differential equations with unprecedented accuracy and efficiency. The extensive application of his methodologies across engineering and scientific disciplines has been documented in numerous highly cited publications that continue to shape contemporary research directions. His scholarly output includes seminal contributions to the numerical solution of Stefan problems, eikonal equations, and ill-posed problems using wavelet-based approaches, demonstrating remarkable breadth within his core mathematical expertise.
Beyond his individual research achievements, Dr. Dehghan has cultivated a thriving academic ecosystem through the supervision of more than twenty-five PhD theses, mentoring the next generation of mathematical scientists who have gone on to make significant contributions in their own right. His leadership extends to editorial roles and collaborative research initiatives that have strengthened international connections within the computational mathematics community. The practical impact of his theoretical work is evident in its widespread adoption across various scientific and engineering applications requiring sophisticated numerical solutions. Professor Dehghan continues to push the boundaries of computational mathematics, with ongoing research exploring the frontiers of meshfree methods and their applications to increasingly complex real-world problems, ensuring his lasting influence on the field.
