1. Magnetic Field Visualization A book (with CD) describing modeling and visualization of magnetic fields. Also described are the numerical algorithms used for solving the equations. http://www.vizimag.homestead.com

Visualize fluid flow with ViziFlow Free download at www.viziflow.com Version 2.1 just released Make money at home from your own Internet business! Visit www.webskel.co.uk Download a free copy of Webpedia, the web's most popular encyclopedia of free resources. Over 5000 downloads since launch! New! Download a Super FREE Bundle of 16 fully featured software applications. Download FREE now! Free download now available! Share your ... Home Visualizing Magnetic Fields Do you need to visualize magnetic fields? Do you need a simple method of magnetic modeling and visualization? Would a technique that lets you create magnetic models and visualize magnetic fields in just a few seconds interest you? Then let me introduce you to VIZIMAG, a software application dedicated to magnetic modeling and magnetic field visualization. And get a multiple bonus! 1: The magnetic visualization and modeling computer application. 2: A book describing the method and giving a detailed description of the theory of the numerical algorithms that solve the equations. 3: A second computer application that lets you see the numerical algorithms in action. 4: The full source code for the programs. Both conjugate gradient and Gaussian elimination numerical algorithms are described and visualized.

2. What's New In Mathematica 4.1 Symbolic Differential Equation Solvers Enhanced Symbolic Differential equation solvers. The symbolic differential equation solvers in Mathematica 4.1 are http://www.wolfram.com/products/mathematica/newin41/computing.html

3. Linear Equation Solvers Linear equation solvers. Algebra.Com Algebra Homework Linearequation solvers Support us Tell Your Friends About This Site http://www.algebra.com/algebra/homework/coordinate/

4. Performance Of NASA Equation Solvers PERFORMANCE OF NASA equation solvers ON COMPUTATIONAL MECHANICS APPLICATIONS Table of Contents http://techreports.larc.nasa.gov/ltrs/papers/NASA-aiaa-96-1505/olaf.fm5.html

5. Interactive Control Results and techniques of polynomial matrix descriptions (PMDs) of linear systems including equation solvers. http://control.math.auth.gr/

6. Education.ti.com - Home Compact, easy to use, reliable computer algebra software. It intelligently applies the rules of algebra, trigonometry, calculus and matrix algebra to solve a wide range of mathematical problems. This nonnumeric approach goes far beyond the capabilities of dedicated statistics packages and equation solvers that use only approximate numerical techniques. http://www.ti.com/calc/docs/derive.htm

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7. Introduction To Differential Equation Solvers An Introduction to Differential equation solvers At this point in your differential equations course you should have gotten used to a few of the analytic techniques used to solve first order differential equations. http://barker.sjdccd.cc.ca.us/ODE/7-3/7-3-0-h.html

An Introduction to Differential Equation Solvers At this point in your differential equations course you should have gotten used to a few of the analytic techniques used to solve first order differential equations. The technique varies somewhat according to the form of the original equation, and you may already have seen forms classified as separable, exact, homogeneous , or linear . The method of solution of each of these forms inevitably involves some type of integration in order to eliminate the unwanted derivative. For the most part the techniques can become rote exercises, whereby you, the student, classifies the form of the equation, then follows the appropriate recipe to solve it. This kind of repetition sounds like an ideal task for relegating to a computer. Given this fact, it is surprising how recently personal computer programs were first created to handle the analytic solution of differential equations. ( Numerical why they were invented.) Anyway, the current state of affairs is that there is a growing set of relatively "rookie" analytic solvers for personal computers. The quality of these programs has improved with each new version of the software, but there are still shortcomings in all of the packages. In this laboratory you'll be learning to use Mathematica 's built in differential equation solver. The command we'll need is

8. Elegant Mathematics, Inc. Linear Equation Solvers Robust, Efficient Linear Solvers. from. Solvers for Dense Linear SystemsRDENSE for Real Dense problems; CDENSE for Complex Dense problems; http://www.elegant-math.com/brochure.htm

9. Elegant Mathematics, Inc. Introduction Advanced algorithms for computational science. Robust Iterative Linear Solvers; Software tools for Category Science Math Numerical Analysis Companies...... Elegant's Linear equation solvers substantially reduce the computational cost forsolving problems and in many cases can extend the range of an application to http://www.elegant-math.com/

Welcome to Elegant Mathematics, Inc. Advanced Mathemathical Algorithms for Computational Science Elegant Mathematics, Inc. conducts mathematical researches and designs advanced mathematical algorithms. These algorithms are used to develop a suite of exceptionally robust Iterative Linear Solvers a suite of software tools for Parallelization of Algorithms and Computer Software , and advanced Approximation Method research Our mathematical technologies have been developed in Russia by mathematicians from the Russia Academy of Science, Steklov Mathematical Institute, and Moscow State University. This work is described in a series of Research Reports which are available in Postscript form. For a guide to these reports, please see Abstracts to the Elegant Mathematics, Inc. Research Reports Elegant's Linear Equation Solvers substantially reduce the computational cost for solving problems and in many cases can extend the range of an application to enable it to solve more difficult problems. These Linear Equation Solvers will appeal to Independent Software Vendors of engineering applications, industrial research organizations, and government and university research laboratories. The Parallelization Tools are useful for prototyping, development, porting, and maintenance of highly sophisticated application programs on vector, parallel, and massively parallel computing architectures.

10. Equation Solvers equation solvers. This web page provides a set of 300 annotated links to webdocuments referencing equation solvers including many FE/FD programs. http://www.engr.usask.ca/~macphed/finite/fe_resources/node287.html

Next: General-Purpose equation Solver, GPS Up: Previous: DifEqu Equation Solvers This web page provides a set of 300 annotated links to web documents referencing equation solvers including many FE/FD programs. Roger Young and Ian MacPhedran

11. Introduction To Differential Equation Solvers An Introduction to Differential equation solvers. At this point inyour differential equations course you should have gotten used http://calculus.sjdccd.cc.ca.us/ODE/7-3/7-3-0-h.html

An Introduction to Differential Equation Solvers At this point in your differential equations course you should have gotten used to a few of the analytic techniques used to solve first order differential equations. The technique varies somewhat according to the form of the original equation, and you may already have seen forms classified as separable, exact, homogeneous , or linear . The method of solution of each of these forms inevitably involves some type of integration in order to eliminate the unwanted derivative. For the most part the techniques can become rote exercises, whereby you, the student, classifies the form of the equation, then follows the appropriate recipe to solve it. This kind of repetition sounds like an ideal task for relegating to a computer. Given this fact, it is surprising how recently personal computer programs were first created to handle the analytic solution of differential equations. ( Numerical why they were invented.) Anyway, the current state of affairs is that there is a growing set of relatively "rookie" analytic solvers for personal computers. The quality of these programs has improved with each new version of the software, but there are still shortcomings in all of the packages. In this laboratory you'll be learning to use Mathematica 's built in differential equation solver. The command we'll need is

12. KLUWER Academic Publishers Parallel-Vector Equation Solvers For Engineering Applications. ParallelVector equation solvers for Finite ElementEngineering Applications. Add to cart. by Duc Thai Nguyen Dept. http://www.wkap.nl/prod/b/0-306-46640-6

13. KLUWER Academic Publishers Parallel-Vector Equation Solvers For Engineering Applications. ParallelVector equation solvers for FiniteElement Engineering Applications by Duc Thai Nguyen Dept. of http://www.wkap.nl/prod/b/0-306-46640-6?a=2

14. Linear Equation Solvers next up previous contents Next OneDimensional Multigrid Up Complete ExamplePrograms Previous Rational Arithmetic. Linear equation solvers. ! http://www.scd.ucar.edu/tcg/consweb/Fortran90/F90Tutorial/node26.html

Next: One-Dimensional Multigrid Up: Complete Example Programs Previous: Rational Arithmetic Linear Equation Solvers Next: One-Dimensional Multigrid Up: Complete Example Programs Previous: Rational Arithmetic

15. Abstract Fast Shallow-Water Equation Solvers Fast ShallowWater equation solvers in Latitude-Longitude Coordinates.by William F. Spotz, Mark A. Taylor and Paul N. Swarztrauber http://www.scd.ucar.edu/css/staff/pauls/papers/Fast_SWE/Fast_SWE.html

Fast Shallow-Water Equation Solvers in Latitude-Longitude Coordinates by William F. Spotz, Mark A. Taylor and Paul N. Swarztrauber, Journal of Computational Physics (1), 1 September 1998, pp. 432-444. Abstract Download a compressed PDF version Download a compressed PostScript version Back to Publications Swarztrauber's Home Page Last updated February 29, 2000. Mail comments to Paul Swarztrauber

16. Accurate Symmetric Indefinite Linear Equation Solvers Applied Mathematics. Accurate Symmetric Indefinite Linear equation solvers.Cleve Ashcraft, Roger G. Grimes, John G. Lewis. Abstract. The http://epubs.siam.org/sam-bin/dbq/article/29692

17. Multigrid Equation Solvers For Large Scale Nonlinear Finite Multigrid equation solvers for Large Scale Nonlinear Finite Element Simulationsby Mark Francis Adams Doctor of Philosophy in Engineering Civil Engineering http://citeseer.nj.nec.com/adams99multigrid.html

18. Citations Multigrid Equation Solvers For Large Scale Nonlinear Mark Adams. Multigrid equation solvers for Large Scale Nonlinear Finite ElementSimulations. Ph.D. dissertation, University of california, Berkeley, 1998. http://citeseer.nj.nec.com/context/167122/332356

19. Equation Solvers equation solvers. Due to the fact that the class interface is the same for serialand parallel versions, the same source code can be used in both cases. http://www.ica1.uni-stuttgart.de/Recent_publications/Papers/kai/hlrs99/report/no

Next: Code Example Up: Quadrilateral arrays, regular grids Previous: Quadrilateral arrays, regular grids Equation solvers Due to the fact that the class interface is the same for serial and parallel versions, the same source code can be used in both cases. This is demonstrated for instance in the example below where a Gauss-Seidel smoothing is performed. The method ensures consistency of the shadow values with boundary conditions and across processors. The single processor version of this subroutine does not perform communication, but uses copy operations on shadow data elements to implement boundary conditions. The operation to be performed on the data elements of the array is specified in the object GaussSeidel in the same fashion as in the Force object of Sec. . The two members and return the index values of the PE local part of the parallel array. Please note that all, if any, parallelism of the program fragment is hidden within the object and its member functions. More intelligence is built into the arrays by providing specific classes for solution schemes. In the case above, a full multigrid hierarchy is erected on top of the array holding the variables of the PDE to be solved and the Gauss-Seidel smoother is part of it. Further technical details are described in [ Next: Code Example Up: Quadrilateral arrays, regular grids

20. Quadrilateral Arrays, Regular Grids next up previous Next equation solvers Up Design and Application of PreviousApplication Metacomputing Quadrilateral arrays, regular grids. http://www.ica1.uni-stuttgart.de/Recent_publications/Papers/kai/hlrs99/report/no

Next: Equation solvers Up: Design and Application of Previous: Application: Metacomputing Quadrilateral arrays, regular grids Our second example is the implementation of regular quadrilateral arrays of arbitrary data structures. We use the concept of inheritance to create class hierarchy which represents the levels of abstraction. The classes are templates in order to work for any user specified data type. The base class mimicks the behavior of dynamically allocated C arrays in dimensions, and permits arbitrary index ranges and optional index checks for testing. We have found in benchmarks that, depending on compiler and architecture, there is no or only a small overhead in comparison to built-in C arrays. For array data that needs to be distributed over several PE's (e.g. the discretized physical quantity in a PDE), we provide , which automatically arranges for a balanced distribution of the index range over the available processing nodes and provides shadow rows that contain copies of the data on neighboring processors and consistent with the specified boundary conditions (e.g., periodic or open). Figure: 2D slice of the computational grid decomposed onto 2 processors.

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