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Equation Solvers:     more books (100)

Differential Equations Problem Solver (Problem Solvers) by The Staff of REA, David R. Arterburn, et all 1998 Visualizing Magnetic Fields: Numerical Equation Solvers in Action (With CD-ROM) by John Stuart Beeteson, 2001-01-15 Parallel-Vector Equation Solvers for Finite Element Engineering by Duc Thai Nguyen, 2001-08-01 CFDTD: Conformal Finite Difference Time Domain Maxwell¿s Equations Solver, Software and User¿s Guide by Wenhua Yu, Raj Mittra, 2003-11 Iterative Equation Solvers for Structural Mechanics Problems (Computers in Engineering Division, Volume 4) Application of a Finite-Volume Time-Domain Maxwell Equation Solver to Three-Dimensional Objects Whole-building simulation with symbolic DAE equations and general purpose solvers [An article from: Building and Environment] by P. Sahlin, L. Eriksson, et all 2004-08-01 Ordinary differential equations (Problem solvers) by John Heading, 1971 The universal equation solver: A simple, new method for microcomputers by Noel Kantaris, 1983 Recent Advances in Integral Equation Solvers in Electromagnetics (Synthesis Lectures on Computational Electromagnetics) by Weng Chew, Bin Hu, 2007-07-15 The Differential Equations Problem Solver by Max, program director Fogiel, 1986 Differential Equations Problem Solvers by Rea, 1980 Periodic Integral & Pseudodifferential Equations with Numerical Approximation by Jukka Saranen, Gennadi Vainikko, et all 2001-12-12 Ode Solver: Numerical Procedures for Ordinary Differential Equations IBM PC VersionBook & Disk by Thomas Kiffe, William Rundell, 1995-09

lists with details

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
   
   Extractions: 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? 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.

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

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
   
   Extractions: 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/
   
   Extractions: Elegant Mathematics, Inc. conducts mathematical researches and designs advanced mathematical algorithms. These algorithms are used to develop 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

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
    
    Extractions: 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

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

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
    
    Extractions: 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 [

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
    
    Extractions: 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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