on Numerical Analysis 2 (1965 205-224. Courant (1943) finite element methods for PDE. Order stars and stability theorems bIT, 18 (1978. Most readers of this note will have thought of other classic authors and papers that should have been on the list. Curtiss Hirschfelder (1952) stiffness of ODEs; BD formulas. For example, Curtiss and Hirschfelder inexplicably define stiffness in terms of exponentially diverging trajectories, not converging ones; nevertheless they invent the right cure for the problem in the shape of backward differentiation formulas. Subject: Classic Papers in Numerical Analysis "classic papers IN numerical analysis". Courant, "Variational methods for the solution of problems of equilibrium and vibrations Bulletin of the American Mathematical Society 49 (1943 1-23. 2) parhangindent 0 pthangafter0indent llap#1. Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and expository articles on all aspects of applied mathematics.
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Translated as: "On the partial difference equations of mathematical physics IBM Journal of Resarch and Development 11 (1967 215-234. Theory Buzbee, Golub Nielsen (1970) fast Poisson via cyclic reduction Hockney (1965) fast Poisson via FFT Fedorenko (1961) multigrid methods Brandt (1977) multigrid methods parabolic AND hyperbolic PDEs Courant, Friedrichs Lewy (1928) the CFL condition Crank Nicolson (1947) finite differences for parabolic PDE O'Brien, Hyman. Householder (1958) QR factorization of matrices. For another example, did you know that the classic SVD paper by Golub Kahan makes no mention of the QR algorithm? Origin of this list, contents of this file: 1 Trefethen NA-net posting of 2 bibliographic citations for 13 "classic papers" 3 longer list of papers we considered reading 4 copy of handout to class describing course organization 5 weekly assignments. Non-students may also participate provided they agree to act like students. Rokhlin, "A fast algorithm for particle simulations Journal of Computational Physics 72 (1987 325-348. Longer list of papers we considered reading linear algebra - systems OF equations AND least-squares Frankel (1950) optimal omega for SOR iteration Hestenes Stiefel (1952) the conjugate gradient iteration Young (1954) theory of classical iterative methods Householder (1958) QR decomposition Wilkinson (1961) error analysis for. Applied Mathematics 3 PDF, applied Mathematics 3, BE Maths. Applied Mathematics 3 by Kumbhojkar pdf. Brandt, "Multi-level adaptive solutions to boundary-value problems Mathematics of Computation 31 (1977 333-390. We were struck by how young many of the authors were when they wrote these papers (average age: 34 and by how short an influential paper can be (Householder:.3 pages, Cooley Tukey:.4).