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- Germund Dahlquist Prize: The Germund Dahlquist Prize, established in 1995, is awarded every two years to a young scientist (normally under 45) for original contributions to fields associated with Germund Dahlquist, especially the numerical solution of differential equations and numerical methods for scientific computing. As part of the award, the recipient is requested to give a lecture at the meeting where the prize is awarded.
- Richard C. DiPrima Prize: The Richard C. DiPrima Prize, established in 1986, is awarded every two years to a junior scientist who has done outstanding research in applied mathematics and who has completed his/her doctoral dissertation and completed all other requirements for his/her doctorate during the period running from three years prior to the award date to one year prior to the award date. Selection is based on the candidates' dissertations.
- Ralph E. Kleinman Prize: The Ralph E. Kleinman Prize, established in 1998, is awarded every two years to one individual for outstanding research, or other contributions, that bridge the gap between mathematics and applications. Work that uses high-level mathematics and/or invents new mathematical tools to solve applied problems from engineering, science, and technology is particularly appropriate. Nominations are sought seven months prior to the awarding of the prize. Nominations will be solicited in SIAM publications and various relevant electronic newsletters.
- George Polya Prize: The George Polya Prize, established in 1969, is given every two years, alternately in two categories: (1) for a notable application of combinatorial theory; (2) for a notable contribution in another area of interest to George Polya such as approximation theory, complex analysis, number theory, orthogonal polynomials, probability theory, or mathematical discovery and learning. The prize is broadly intended to recognize specific recent work.
- W.T. and Idalia Reid Prize in Mathematics: The W.T. and Idalia Reid Prize in Mathematics is awarded annually for research in, or other contributions to, the broadly defined areas of differential equations and control theory. Each prize may be given either for a single notable achievement or a collection of such achievements. As part of the award, the recipient is requested to give a lecture at the meeting where the prize is awarded. A call for nominations shall appear in SIAM News and other similar scientific periodicals. The prize is given annually at the SIAM meeting.
- SIAM Outstanding Paper Prizes: Since 1999, SIAM Outstanding Paper Prizes are awarded annually to the authors of three outstanding papers published in SIAM journals in the preceding three calendar years. The prize selection committee seeks papers that exhibit originality, for example, papers that bring a fresh look at an existing field or that open up new areas of applied mathematics. The committee is urged to give special consideration to junior authors.
- Theodore von Karman Prize: The Theodore von Karman Prize, established in 1968, is awarded every five years for a notable application of mathematics to mechanics and/or the engineering sciences made during the five to ten years preceding the award. The award may be given either for a single notable achievement or for a collection of such achievements. As part of the award, the recipient is requested to give a lecture at the meeting where the prize is awarded.
- George David Birkhoff Prize (with AMS): The George David Birkhoff Prize, established in 1967, is awarded jointly by the Society for Industrial and Applied Mathematics (SIAM) and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics in the highest and broadest sense.
- Norbert Wiener Prize (with AMS): The Norbert Wiener Prize, established in 1967, is awarded jointly by the Society for Industrial and Applied Mathematics (SIAM) and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics in the highest and broadest sense. It is awarded every 3 years. For further information, visit Wiener Prize
- James H. Wilkinson Prize in Numerical Analysis and Scientific Computing: The James H. Wilkinson Prize in Numerical Analysis and Scientific Computing, established in 1979, is awarded every four years for research in, or other contributions to, numerical analysis and scientific computing during the six years preceding the award. The purpose of the prize is to stimulate junior contributors and to help them in their careers.
- Peter Henrici Prize (with ETHZ): The Peter Henrici Prize is awarded jointly by Eidgenossische Technische Hochschule-Zurich (ETHZ) and the Society for Industrial and Applied Mathematics (SIAM). The prize is awarded for original contributions to applied analysis and numerical analysis and/or for exposition appropriate for applied mathematics and scientific computing. The prize is intended to recognize broad and extended contributions to these subjects, more than a single outstanding work. It is awarded at the quadrennial ICIAM Congress.
- The John von Neumann Lecture: The John von Neumann Lecture, SIAM's flagship lecture, was established in 1959 and is awarded for outstanding and distinguished contributions to the field of applied mathematical sciences and for the effective communication of these ideas to the community. The prize is awarded and the lecture given each year at the SIAM Annual Meeting.
- I.E. Block Community Lecture: The I.E. Block Community Lecture is named in honor of the co-founder and former Managing Director of SIAM, I. Edward Block, to recognize his contributions to the growth of SIAM and to perpetuate his vision. The Lecture, presented each year at the SIAM Annual Meeting, is open to the public and is intended to encourage public appreciation of the excitement and vitality of science.