Computer Algebra in Scientific Computing

Symbolic computation involves the manipulation of mathematical expressions in symbolic form, allowing exact solutions to be obtained for a wide range of problems. Scientific computing, on the other hand, focuses on numerical methods and algorithms to solve complex scientific and engineering problems, often involving large-scale computations. The relationship between the two lies in their complementary strengths: symbolic computation provides precision and analytical insights, while scientific computing offers efficiency and scalability for handling extensive datasets and simulations. Together, they enable more robust and versatile solutions, integrating exact symbolic methods with powerful numeric techniques to address diverse challenges in science and engineering.

This collection contains revised and expanded versions of presentations at the annual conference series Computer Algebra in Scientific Computing (CASC). The primary goals and topics of the conference include the development and application of computer algebra in various scientific and engineering fields, advancements in algorithms and software for symbolic computation, and exploring hybrid approaches that combine symbolic and numeric methods to solve complex problems. The conference also showcases how computer algebra can be used in domains such as physics, chemistry, biology, and engineering, emphasizing its role in both theoretical and applied research. Overall, CASC serves as a platform for exchanging ideas, presenting new research, and discussing future directions in computer algebra as it applies to scientific computing.