Numerical Methods for Chemical Engineering: Solving DAE Systems

Chemical engineering processes often involve complex, interconnected systems that cannot be solved by hand. To design and optimize reactors, separation columns, and transport systems, engineers rely on robust numerical methods to solve differential-algebraic equations (DAEs). This text-only course equips you with the fundamental skills to formulate, analyze, and solve DAE systems. You will transition from understanding basic mathematical concepts to implementing practical numerical solutions for real-world chemical engineering problems. What you'll learn: - Understand the fundamental theory of Differential-Algebraic Equations (DAEs) and how they model physical chemical systems. - Formulate residual vectors and construct Jacobian matrices to solve non-linear algebraic and dynamic equations. - Apply modern numerical solvers and algorithms to handle stiff chemical engineering systems efficiently. - Analyze convergence behavior, error bounds, and numerical stability to ensure simulation accuracy. - Practice translating chemical process models into clean, structured code for numerical computation. The course begins with essential mathematical definitions and foundational numerical concepts. From there, you will progress through structured text-based lessons detailing Jacobian formulation, system linearization, and step-by-step solver implementation. This program is designed for chemical engineering students, researchers, and practicing engineers who are new to numerical modeling and want to build a solid foundation without needing advanced prior programming experience. Start reading today to master the mathematical tools driving modern chemical process simulation.