अभिकलनात्मक गणित

अभिकलनात्मक गणित (Computational mathematics) ज्ञान के उन क्षेत्रों से संबन्धित है जहाँ अभिकलन की भूमिका बहुत महत्त्व की है। १९५० के दशक तक अभिकलनात्मक गणित, अनुप्रयुक्त गणित का अलग प्रभाग बन चुका था। इसमें अल्गोरिद्म, आंकिक विधियों (numerical methods) तथा प्रतीकात्मक विधियों (symbolic methods) का अध्ययन किया जाता है।

सम्प्रति, अभिकलनात्मक गणित में निम्नांकित विषय शामिल हैं-

• अभिकलनात्मक विज्ञान (computational science), also known as scientific computation or computational engineering
• solving mathematical problems by संगणक सिमुलेशन (computer simulation) as opposed to analytic methods of अनुप्रयुक्त गणित (applied mathematics)
• numerical methods used in scientific computation, for example numerical linear algebra and numerical solution of partial differential equations
• stochastic methods, such as Monte Carlo methods and other representations of uncertainty in scientific computation, for example stochastic finite elements
• the mathematics of scientific computation (the theoretical side involving mathematical proofs), in particular numerical analysis, the theory of numerical methods (but theory of computation and complexity of algorithms belong to theoretical computer science)
• symbolic computation and computer algebra systems
• computer-assisted research in various areas of mathematics, such as logic (automated theorem proving), discrete mathematics (search for mathematical structures such as groups), number theory (primality testing and factorization), cryptography, and computational algebraic topology
• computational linguistics, the use of mathematical and computer techniques in natural languages
• अभिकलनात्मक ज्यामिति (Computational geometry)
• Computational topology
• Computational number theory
• Algorithmic information theory
• Algorithmic game theory

बाहरी कड़ियाँ

• Foundations of Computational Mathematics: a non-profit organization