Mathematics of Computation

Mathematics of Computation
American Mathematical Society · Public domain · source
Title	Mathematics of Computation
Discipline	Mathematics
Abbreviation	Math. Comp.
Publisher	American Mathematical Society
Country	United States
History	1947–present
Frequency	Monthly
Issn	0025-5718

Contents

Mathematics of Computation is a peer-reviewed scholarly journal founded in 1947 that publishes research in numerical analysis, computational number theory, scientific computation, and algorithmic mathematics. The journal has chronicled developments across decades that involved contributors affiliated with institutions such as Princeton University, Massachusetts Institute of Technology, Institute for Advanced Study, University of Cambridge, and University of California, Berkeley. Its issues have presented work connected to prizes, societies, and projects including the Abel Prize, Fields Medal, National Science Foundation, Clay Mathematics Institute, and American Mathematical Society.

History and Development

The journal emerged in the postwar era alongside initiatives at Los Alamos National Laboratory, Bell Labs, IBM, and Johns Hopkins University that advanced numerical computation, with editorial leadership drawn from figures associated with Courant Institute of Mathematical Sciences and Harvard University. Early volumes reflected computational efforts linked to wartime and Cold War programs such as the Manhattan Project and collaborations with Argonne National Laboratory, overlapping with algorithmic advances reported at conferences like the International Congress of Mathematicians and meetings of the Society for Industrial and Applied Mathematics. Over time, editorial policy incorporated work by researchers from Stanford University, California Institute of Technology, Cornell University, University of Oxford, and ETH Zurich, while indexing and archiving intersected with repositories maintained by the National Academies of Sciences, Engineering, and Medicine and libraries at University of Chicago.

The journal covers theoretical and practical aspects that relate to contributions from investigators at Princeton Plasma Physics Laboratory, Rutherford Appleton Laboratory, and research centers such as Los Alamos National Laboratory and Sandia National Laboratories. Regular topics include algorithmic development rooted in traditions associated with Gauss-linked numerical linear algebra, methods propagated by schools at University of Cambridge and Ecole Polytechnique, and analytic techniques influenced by work from Isaac Newton-lineage studies and modern expositors affiliated with Yale University and Columbia University. Articles often build on results connected to named theorems and prizes historically recognized by Royal Society, National Academy of Sciences, and awards like the Turing Award and Wolf Prize.

Research published encompasses developments in matrix computations tied to matrices studied by Carl Friedrich Gauss and algorithmic frameworks advanced at Massachusetts Institute of Technology and University of Toronto, iterative solvers that trace heritage to contributors at Imperial College London and University of Illinois Urbana-Champaign, and eigenvalue problems researched at Princeton University and ETH Zurich. Papers address discretization schemes that relate to work by mathematicians associated with Ecole Normale Supérieure and advances in stability analysis discussed by authors from University of Michigan and Brown University. The journal also reports on fast transforms and algorithms with lineage to projects at Bell Labs and innovations connected to teams at Google and IBM Research.

Contributions bridge numerical practice and complexity theory developed in environments such as University of California, Berkeley, University of Wisconsin–Madison, and University of Cambridge. Articles examine computational hardness related to problems studied at Princeton University and Carnegie Mellon University, reductions and complexity classes that intersect with legacy results from Cornell University and Stanford University, and algorithmic lower bounds with connections to members of the Association for Computing Machinery. Work often references theoretical foundations advanced by researchers affiliated with Bell Labs, IBM Research, and institutions linked to recipients of the Gödel Prize.

Published research demonstrates applications across fields connected to laboratories and institutions including Los Alamos National Laboratory, Sandia National Laboratories, Brookhaven National Laboratory, NASA, and industrial partners such as General Electric and Siemens. Case studies involve simulations informed by work at Princeton Plasma Physics Laboratory and climate computations related to groups at National Center for Atmospheric Research and NOAA. Engineering applications draw on numerical methods used in projects at Caltech and MIT, and interdisciplinary collaborations with researchers at Johns Hopkins University and University of Pennsylvania.

As an American Mathematical Society journal, it has been edited and stewarded by editorial boards including scholars from Yale University, Harvard University, University of Chicago, and Columbia University, and it has influenced curricula and monographs published by presses such as Oxford University Press and Cambridge University Press. The journal’s articles have been cited in work associated with awards including the Fields Medal and Abel Prize, and in reports produced by agencies such as the National Science Foundation and Department of Energy. Special issues and surveys have highlighted breakthroughs tied to conferences at International Congress of Mathematicians and workshops sponsored by the Society for Industrial and Applied Mathematics, shaping research agendas at universities including Stanford University, University of Oxford, and ETH Zurich.

Category:Mathematics journals