- ARPACK - Danny C. Sorensen
Anonymous ftp archive for ARPACK, a software package for solving large-scale symmetric, nonsymmetric standard, or generalized eigenvalue problems. Industrial-scale problems with as many as 250K degrees of freedom have been solved with this package. Future
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- Differential Equations (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college differential equations. Sections include: Introduction and First Definitions; Modeling via Differential
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- Mathematical and Statistical Software - Pittsburgh Supercomputing Center, Carnegie Mellon University
BLOCKSOLVE, EISPACK, FISHPACK, IMSL, NRL-3D, ODEPACK, PARPRE, PETSC, PJAC, RANPACK, SCALAPACK. Some packages require industrial or academic users to make special arrangements for usep; information is included in the documentation for the package. Following
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- Matrices, Circles, and Eigenthings - Ivars Peterson (MathTrek)
Last month [July, 1999], the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA, hosted the Olga Taussky Todd Celebration of Careers in Mathematics for Women. The conference showcased the research of outstanding women in mathematics and highlighted
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- On the Bass Note of a Schottky Group [PDF] - Peter G. Doyle
Using a classical method from physics called Rayleigh's cutting method, Doyle proves the conjecture of Phillips and Sarnak that there is a universal lower bound L2 > 0 for the lowest eigenvalue of the quotient manifold of a classical Schottky group,
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- Preconditioned Eigensolvers - Andrew Knyazev; Dept. of Mathematics, Univ. of Colorado at Denver
Investigations into matrix-free iterative methods for partial eigenvalue
problems that take advantage of using preconditioners to accelerate convergence. Papers, an interactive discussion, a bibliography, related conferences, and links to software.
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- PRISM (Parallel Research on Invariant Subspace Methods)
A project the goal of which is to develop infrastructure and algorithms for the parallel solution of eigenvalue problems. PRISM is currently investigating a complete eigensolver based on the Invariant Subspace Decomposition Algorithm
for dense symmetric
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- Professor L N Trefethen, Numerical Analysis - Balliol College, Oxford University, UK
Links to books and recent papers by the head of the Numerical Analysis Group at Oxford University. Books include: Spectral Methods in Matlab, Finite Difference and Spectral Methods, Numerical Linear Algebra, and Spectra and Pseudospectra.
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- The Return of Zeta - Ivars Peterson (MathTrek)
The Riemann hypothesis is widely considered the outstanding unsolved problem in mathematics. Generations of mathematicians have been lured into hunting for a proof of this celebrated conundrum. All have so far failed. Lately, however, a cautious optimism
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- Steve Fulling's Home Page - Stephen A. Fulling
Courses in Foundation Coalition Freshman Calculus, linearity, and other subjects offer objectives, assignments, solutions and reports, exams, and supporting documentation such as books (.pdf, .ps, and .dvi formats). The site also includes access to the
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- Stuff About Modelling - Lester F. Caudill, Jr., Univ. of Richmond, Virginia
Download a PDF of this informal introductory text for the author's course in Continuous Mathematical Models, including refreshers on single and multivariable calculus, linear algebra, and differential equations.
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- Sturm-Liouville Problems: SLEIGN2 - Bailey, Everitt, Zettl, Garbow
A code to compute eigenvalues and eigenfunctions, and to approximate the continuous spectrum of regular and singular Sturm-Liouville (S-L) problems. These problems consist of a second order linear differential equation -(py')' + qy = (lambda) w y on (a,b)
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- When The Counting Gets Tough, The Tough Count On Mathematics - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion by William A. McWorter, Jr. of the application of the recursion formula for the Fibonacci sequence to counting and vector problems.
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