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

PreloadImages('/common/images2003/btn_products_over.gif','/common/images2003/btn_purchasing_over.gif','/common/images2003/btn_services_over.gif','/common/images2003/btn_new_over.gif','/common/images2003/btn_company_over.gif','/common/images2003/btn_webresource_over.gif'); Products Mathematica What's New in Mathematica ... Give us feedback Sign up for our newsletter: Enhanced Symbolic Differential Equation Solvers The symbolic differential equation solvers in Mathematica 4.1 are completely redesigned and now cover almost all classical methods. These include a new implementation of Kovacic's algorithm for solving second-order linear homogeneous differential equations with rational function coefficients, powerful new methods and symmetry techniques for solving first-order nonlinear differential equations, improved recognition of differential equations for special functions, and powerful integrating factor methods for second-order nonlinear ordinary differential equations. In addition, the methods for finding solutions of partial differential equations are upgraded significantly. The improvements in DSolve are profound and cover nearly every class of differential equations handled by Mathematica . In addition to the new and revised methods, the new code has an enhanced parser, is much more modular, and is easier to maintain. The following examples cover just a fraction of the improvements, but they should give you an overview of the breadth of enhancements in this release.

22. Web-Based Control System Analysis And Design Lyapunov equation solvers. DESCRIPTION. In control engineering, Lyapunov matrix equation is often used to solve problems related to the system stability. http://www.softintegration.com/chhtml/toolkit/control/lyap.html

Lyapunov Equation Solvers DESCRIPTION: In control engineering, Lyapunov matrix equation is often used to solve problems related to the system stability. The general form of the Lyapunov matrix equation (Sylvester equation) can be represented as follows, where matrices A, B and Q must have compatible dimensions. For discrete-time, this function solve the following discrete-time Lyapunov equation. Please select a model to represent the system: System Model: State-space equations System Type: Continuous-time. Discrete-time with the sampling time of second

23. More Powerful Differential Equation Solvers In Maple 9.5 - Maple Application Cen • Solvers for DifferentialAlgebraic Equations (DAEs), which arise in models of • Solvers for new PDEs from physics, especially the KdV equation and http://www.maplesoft.com/applications/app_center_view.aspx?AID=1484

24. HotScripts.com :: JavaScript :: Calculators :: Equation Solvers Average Member Rating Not yet reviewed by any member . You can be the FIRST one to write a review for equation solvers. http://hotscripts.com/Detailed/21653.html

Internet Services WebHostingTalk FreeWebHostingTalk ISPCheck HostVoice TheWebhostDirectory.com DeletedDomains Domain Name Talk DNThrifty.com HostingCatalog HostPapers HostingTech Web Development HotScripts dBforums DevPapers eDEVcafe yaXay DevLance ProgrammingTalk Xtreme .NET Talk Xtreme VB Talk SEOPapers PixelPapers Swish Talk Tech Hardware OC-Forums Mac-Forums HardwarePapers New Listings Most Popular Top Rated Discussion ... Search DB Search For: All Categories ASP ASP.NET C and C++ CFML CGI and Perl Flash Java JavaScript PHP Python Remotely Hosted Tools and Utilities Web Hosting XML Advanced Search Home Login Advanced Search ... Account Signup Categories ASP ASP.NET C and C++ CFML ... XML Sponsor Links Home JavaScript Scripts and Programs Calculators Notes Equation Solvers Hits: Description: Solve quadratic, cubic and quartic equations easily. Finds both real and imaginary solutions. Accurate and easy to use, requires no maths knowledge - just enter the equation! Resource Specification Date Added: Apr 16, 2003 Last Updated: May 2, 2005 Author: Crazy Maths License Information License # 1: License Type: Freeware Price: Free Additional Info: Free to use as is on Crazy Maths. Do not copy or modify it onto your website, only link to if desired.

25. Linear Equation Solvers Linear equation solvers. Linear equation solvers ! File typical.2.f90 module LinearSolvers implicit none ! The default value for the smallest pivot that 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

26. 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, Journal of 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 PDF version Download a PostScript version Back to Publications Swarztrauber's Home Page Last updated February 29, 2000. Mail comments to Paul Swarztrauber

27. Quadratic Equation Solver - Revisited Here is the box trick of this program. It is more complex than all previous versions of quadratic equation solvers. Let us start with linear equations. http://www.cs.mtu.edu/~shene/COURSES/cs201/NOTES/chap03/quad-5.html

Quadratic Equation Solver - Revisited Problem Statement Given a quadratic equation as follows: if b*b-4*a*c is non-negative, the roots of the equation can be solved with the following formulae: Write a program to read in the coefficients a b and c , and solve the equation. Note that a quadratic equation has repeated root if b*b-4.0*a*c is equal to zero. However, if a is zero, the equation becomes a linear one whose only solution is -c/b if b is not zero. Otherwise, if b is zero, two cases are possible. First, if c is also zero, any number can be a solution because all three coefficients are zero. Otherwise, the equation c = cannot have any solution. This program should handle all cases. Solution Click here to download this program. Program Input and Output Since we have been doing the quadratic part in several similar examples, the following concentrates on the order part of the program. If the input to the program consists of 0.0, 1.0 and 5.0, we have the following output. Since a is zero, this could be a linear equation. Since b=1.0

28. SUPER_LU - Sparse Linear Equation Solver SUPER_LU is aC library of sparse linear equation solvers. SUPER_LU contains a set of subroutines to solve a sparse linear system A*X=B. It uses Gaussian http://www.csit.fsu.edu/~burkardt/cpp_src/super_lu/super_lu.html

Sparse Linear Equation Solver is a C library of sparse linear equation solvers. contains a set of subroutines to solve a sparse linear system A*X=B. It uses Gaussian elimination with partial pivoting (GEPP). The columns of A may be preordered before factorization; the preordering for sparsity is completely separate from the factorization. is implemented in ANSI C, and must be compiled with standard ANSI C compilers. It provides functionality for both real and complex matrices, in both single and double precision. The initial letter of a routine name indicates the arithmetic type and precision: S, such as sgstrf , is for single precision real arithmetic; D, such as dgstrf , is for double precision real arithmetic; C, such as cgstrf , is for single precision complex arithmetic; Z, such as zgstrf , is for double precision complex arithmetic. invokes routines from the BLAS (Basic Linear Algebra Subprograms). For best efficiency, a user should link with an optimized version of the BLAS for the given machine architecture.

29. 5. Sparse Linear Equation Solvers . Sparse Linear equation solvers. 5.1 General Linear Equations (cvxopt.umfpack) 5.2 Positive Definite Linear Equations (cvxopt.ldl) http://www.ee.ucla.edu/~vandenbe/cvxopt/doc/c-spsolvers.html

CVXOPT: A Python Package for Convex Optimization Previous: 4.6 Example: Analytic Centering Up: CVXOPT: A Python Package Next: 5.1 General Linear Equations 5. Sparse Linear Equation Solvers Subsections 5.1 General Linear Equations ( cvxopt.umfpack 5.2 Positive Definite Linear Equations ( cvxopt.ldl ... 5.3 Example: Covariance Selection CVXOPT: A Python Package for Convex Optimization Previous: 4.6 Example: Analytic Centering Up: CVXOPT: A Python Package Next: 5.1 General Linear Equations Release 0.4, documentation updated on May 18, 2005.

30. SUNDIALS suite of nonlinear differential algebraic equation solvers. Dan Shumaker, Carol Woodward, Nonlinear Solvers and Differential Equations Project http://www.llnl.gov/CASC/sundials/

@import url('top_sundials.css'); Home Description Overview of the SUNDIALS suite and of the individual solvers. ... Bug tracking SUNDIALS ( SU ite of N onlinear and DI fferential/ AL gebraic equation S olvers) consists of the following four solvers: CVODE solves initial value problems for ordinary differential equation (ODE) systems. CVODES solves ODE systems and includes sensitivity analysis capabilities (forward and adjoint). IDA solves initial value problems for differential-algebraic equation (DAE) systems. KINSOL solves nonlinear algebraic systems. 19 May. 2005 New release (v.2.1.1) Download What's new? sundialsTB - Matlab interface for CVODES Documentation Download 11 Apr. 2005 New release (v.2.1.0) 22 Mar. 2005 Added sundials-users mailing list archive Browse Added download links for older versions 03 Mar. 2005 New release (v.2.0.2) 28 Jan. 2005 Added mailing lists Subscribe New release (v.2.0.1) 08 Dec. 2004 New release (v.2.0) Peter Brown, Aaron Collier, Keith Grant, Alan Hindmarsh, Steven Lee, Dan Reynolds, Radu Serban, Dan Shumaker, Carol Woodward

31. Talk Abstract: Combining Model-reduction And Integral-equation Solvers Combining modelreduction and integral-equation solvers. Joel R. Phillips, Cadence. Development of efficient integral-equation based electromagnetic http://www.ima.umn.edu/dynsys/wkshp_abstracts/phillips1.html

Institute for Mathematics and Its Applications Talk abstract: Combining model-reduction and integral-equation solvers Joel R. Phillips , Cadence Development of efficient integral-equation based electromagnetic analysis tools has been hampered by the high computational complexity of dense matrix representations and difficulty in obtaining and utilizing the frequency-domain response. In this talk we show that an algorithm based on application of a novel model-order reduction scheme directly to the sparse model generated by a fast integral transform has advantages for frequency- and time-domain simulation. Back to Workshop Schedule

32. The Linear Equation Solver The Linear Equation Solver. The user may choose between a number of appropriate linear equation solvers. The best choice will depend on the structure http://www.numerical.rl.ac.uk/lancelot/spec/node19.html

Next: Restarting the Calculation Up: Keywords Previous: The Cauchy Point The Linear Equation Solver keywords: CG-METHOD-USED DIAGONAL-PRECONDITIONED-CG-SOLVER-USED or MUNKSGAARDS-PRECONDITIONED-CG-SOLVER-USED or EXPANDING-BAND-PRECONDITIONED-CG-SOLVER-USED or FULL-MATRIX-PRECONDITIONED-CG-SOLVER-USED or GILL-MURRAY-PONCELEON-SAUNDERS-PRECONDITIONED-CG-SOLVER-USED or MODIFIED-MA27-PRECONDITIONED-CG-SOLVER-USED or SCHNABEL-ESKOW-PRECONDITIONED-CG-SOLVER-USED or USERS-PRECONDITIONED-CG-SOLVER-USED or BANDSOLVER-PRECONDITIONED-CG-SOLVER-USED (integer) or MULTIFRONTAL-SOLVER-USED or DIRECT-MODIFIED-MULTIFRONTAL-SOLVER-USED In the second stage of the process to find an (approximate) optimum value of the model, the variables which lie on their bounds at the Cauchy point are fixed and the optimum value of the model with respect to the remaining variables sought. This optimization is equivalent to the solution of one or more systems of linear equations. The coefficient matrix of each system is the Hessian matrix of the merit function, taken with respect to the variables that are not fixed at the Cauchy point. The user may choose between a number of appropriate linear equation solvers. The best choice will depend on the structure

33. Compare Prices And Read Reviews On Visualising Magnetic Fields: Numerical Equati Magnetic Fields Numerical equation solvers in Action before you decide to buy. Visualising Magnetic Fields Numerical equation solvers in Action http://www.epinions.com/Visualising_Magnetic_Fields_Numerical_Equation_Solvers_i

Join Epinions Help Sign In Books All Categories Home Media Books Visualising Magnetic Fields: Numerical Equation Solvers in Action Overall rating: This product has not yet been reviewed. We found this product at 6 stores The lowest base price is Write a Review Compare Prices View Details No Reviews Subscribe to reviews on this product Compare Prices Showing 1-4 of 4 stores Page 1 Sort by Store Name Sort by Store Rating Notes Sort by Price 1074 store reviews Get free shipping on orders over $25! Enter your ZIP for prices with tax and shipping. Price + Tax + Shipping = Total Price Your ZIP is used only to show applicable tax and shipping charges. at Amazon This store has not yet been rated. View store info Format: Trade Paperback at ecampus.com 268 store reviews Format: Trade Paperback In stock at Walmart.com This store has not yet been rated. View store info Format: Trade Paperback Condition: New In stock at Alibris Showing 1-4 of 4 stores Page 1 Why are these stores listed? State Tax Only. Does not include local taxes. Shipping costs are estimates Please check merchant website for exact shipping costs.

34. Download Mathematics & Simulation / Maple From Adept Scientific - The Technical Powerful Differential equation solvers in Maple File Size 0.1 mb Date Added June, Solvers for DifferentialAlgebraic Equations (DAEs), which arise in http://www.adeptscience.co.uk/download/dlddsp/2353/0/All/ Powerful Differential

Adept Scientific - English The world's best software for research, science and engineering. Adept Store Join My Adept Home Products ... Jobs Search UK Site Browse Products Login Edit Account Adept Scientific Downloads Downloads Maple Powerful Differential Equation Solvers in Maple File Size Date Added June, 25, 2004 Maple 9.5 extends Maple 's lead in technical computing and mathematical analysis with more powerful ODE and PDE solvers, including: Solvers for Differential-Algebraic Equations (DAEs), which arise in models of advanced physical systems Dramatic speed improvements in numeric IVP solutions Solvers for new PDEs from physics, especially the KdV equation and systems admitting Traveling Wave Solutions Solvers for many new classes of nonlinear and linear ODE systems, including Abel and Riccati equations, piecewise ODEs, and much more New compact notation for entering derivatives, saving you typing effort Maple is a general-purpose environment capable of solving problems in any field that depends on mathematics and data. This example illustrates one possibility for this particular field. Note that there are many options within the Maple system to optimise the computations for specific problems.

35. Download Mathematics & Simulation / Mathcad From Adept Scientific - The Technica Mathcad Online WebEx Seminar equation solvers File Size 1.9 mb Date Added June, 17, 2003 Chapter 8, equation solvers available in Mathcad. http://www.adeptscience.co.uk/download/dlddsp/548/0/All/Mathcad Online WebEx Sem

Adept Scientific - English The world's best software for research, science and engineering. Adept Store Join My Adept Home Products ... Jobs Search UK Site Browse Products Login Edit Account Adept Scientific Downloads Downloads Mathcad Mathcad Online WebEx Seminar: Equation Solvers File Size Date Added June, 17, 2003 This Mathcad Online WebEx Seminar is now available in bite size chapters. Chapter 8, Equation solvers available in Mathcad To play the Mathcad Online WebEx Seminar please download one of the following WebEx Player versions: Download WebEx Player Installer for Windows Download WebEx Player Installer for Mac OS 9 Download WebEx Player Installer for Mac OS X Before downloading WebEx Player, ensure that your computer meets the following minimum system requirements: Windows 95, 98, Me, 2000, NT, or XP operating system Mac OS 9 or Mac OS X operating system For audio playback a sound card; and speakers, or a headphone jack and headphones Download Estimate File size: 1.9 MB 4 minutes and 40 seconds. [56Kbps] and 25 seconds. [ADSL/Cable 640Kb] and 16 seconds. [T-1]

36. HEAT EQUATION SOLVERS HEAT equation solvers One dimensional heat equation with nonconstant coefficients heat1d_DC.m. This requires the routine heat1dDCmat.m that assembles http://www.math.sfu.ca/~mkropins/math922/lectures/heatsolvers.html

HEAT EQUATION SOLVERS Backwards differencing with dirichlet boundary conditions heat1d_dir.m and Neumann boundary conditions heat1d_neu.m . Both of the above require the routine heat1dmat.m that computes the tridiagonal matrix associated with this difference scheme. Radiative boundary conditions are incorporated in heat1d_farr.m . This requires the tridiagonal matrix heat1dradmat.m . Please download and review these routines for class on Feb. 21. One dimensional heat equation with non-constant coefficients: heat1d_DC.m . This requires the routine heat1dDCmat.m that assembles the tridiagonal matrix associated with this difference scheme. Heat conduction into a rod with D=0.01 on the left, D=1 on the right: Two dimensional heat equation on a square with Dirichlet boundary conditions: heat2d.m . You may also want to take a look at my_delsqdemo.m to see more on two dimensional finite difference problems in Matlab. Two dimensional heat equation on a square with Neumann boundary conditions: heat2dN.m

37. Fast Surface Integral Equation Solvers For Electromagnetic Scattering Fast surface integral equation solvers for electromagnetic scattering. Current methods rely on iterative linear system solution methods such as Conjugate http://www.ccem.uiuc.edu/reschew13.html

Fast surface integral equation solvers Fast surface integral equation solvers for electromagnetic scattering Current methods rely on iterative linear system solution methods such as Conjugate Gradients. For some types of scatterers, including inlets, with resonance-regime features, the iteration count required for the solution to converge becomes large, leading to high computational cost. Some researchers have proposed techniques to overcome this, such as multigrid or near neighbor preconditioning, which perform well for other classes of PDEs. Dr. Warnick's current research into the spectrum of surface integral operators shows that the difficulty in solving the scattering problem grows as the scatterer becomes large due to long-range coupling effects, which causes local methods such as near-neighbor preconditioning and multigrid to break down for Maxwell's equations. A new type of spectral multigrid is currently being developped. This multigrid preconditions the long-range interactions inherent in the surface integral operator, with the intent of developing an optimal surface integral equation solver for which computational cost grows linearly with problem size. The first Figure compares the convergence history of GMRES in work units to that of spectral multigrid for TM scattering from an inlet with a depth of about 20 wavelengths.

38. MATLAB Central File Exchange - Differential Algebraic Equation Solvers Title, Differential Algebraic equation solvers. Author, Tony Roberts. Summary, A solves a set of differential algebraic equations f(t,y,y )=0 where http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=28

39. Multigrid Equation Solvers For Large Scale Nonlinear Finite Element Simulations Multigrid equation solvers for Large Scale Nonlinear Finite Element Simulations. Mark Francis Adams Ph.D. thesis, Univ. of California, Berkeley, http://fano.ics.uci.edu/cites/Document/Multigrid-Equation-Solvers-for-Large-Scal

Multigrid Equation Solvers for Large Scale Nonlinear Finite Element Simulations Mark Francis Adams Ph.D. thesis, Univ. of California, Berkeley, Dept. of Civil Engineering Tech. report CSD-99-1033 Jan 1999 http://www.cs.berkeley.edu/~madams/adams_dissertation.ps.gz Cites: Mesh generation and optimal triangulation D. Eppstein publications Citation database Documents ... Fano Experimental Web Server, D. Eppstein UC Irvine

40. Parallel Tridiagonal Equation Solvers Parallel Tridiagonal equation solvers. Full text, pdf format Pdf (1.23 MB). Source, ACM Transactions on Mathematical Software (TOMS) archive http://portal.acm.org/citation.cfm?id=355657

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