Computational Mathematics for Scientific Discovery and Problem-Solving

Abstract

This article explores about computational mathematics, which integrates numerical analysis, computer science, and mathematics to solve challenging scientific problems. To enable precise simulations, data analysis, optimisation, and mathematical modelling, computational mathematics makes use of cutting-edge algorithms, numerical techniques, and high-performance computing. In order to demonstrate the importance of computational mathematics for decision-making, scientific discovery, and engineering design, this study examines its key ideas, applications, and approaches. This article tries to demonstrate the transformative potential of computational mathematics in solving complicated issues and stimulating creativity by looking at real-world instances and developments, the use of algorithms, numerical analysis, mathematical modelling, and scientific computing in computational mathematics.

Keywords

• computational mathematics
• numerical analysis
• algorithms
• mathematical modelling
• scientific computing