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Equation Solvers: more books (100)

A 3D agglomeration multigrid solver for the Reynolds-averaged Navier-Stokes equations on unstructured meshes (SuDoc NAS 1.26:195073) by Dimitri Mavriplis, 1995
Ode Solver: Numerical Procedures for Ordinary Differential Equations IBM PC Version Book & 5.25 Disk by Thomas Kiffe, William Rundell, 1990-03
A genuinely multidimensional upwind scheme and efficient multigrid solver for the compresssible Euler equations (ICASE report) by D Sidilkover, 1994
A linearised Reimann solver for the time-dependent Euler equations of gas dynamics (College of Aeronautics report) by E. F Toro, 1991
An explicit finite differences solver for the incompressible Reynolds averaged Navier-Stokes equations, optimized for the alliant DSP 9000 computer (Technical ... / Von Karman Institute for Fluid Dynamics) by C Benocci, 1988
Implementation of advanced two equation turbulence models in the USM3D unstructured flow solver (SuDoc NAS 1.26:210102) by Qunzhen Wang, 2000
Description and use of LSODE the Livermore solver for ordinary differential equations (SuDoc NAS 1.61:1327) by Krishnan Radhakrishnan, 1993
LAIPE--parallel direct solvers for linear systems equations by Jenn-Ching Luo, 1995
Development of a '2D' CFD solver for the shallow layer equations by M Ivings, 2001
A new block solver for large, full, unsymmetric, complex systems of linear algebraic equations by Erwin A Schroeder, 1988
Information system for flow simulation based on the Navier-Stokes equation (ISNaS): Requirements grid generation for the ISNaS compressible flow solver by M. E. S Vogels, 1988
Discretization Methods and Iterative Solvers Based on Domain Decomposition (Lecture Notes in Computational Science and Engineering) by Barbara I. Wohlmuth, 2001-03-26
Developments and Applications of Block Toeplitz Iterative Solvers (Combinatorics and Computer Science) by Xiao-Qing Jin, 2010-11-02
Post-modern Electromagnetics: Using Intelligent MaXwell Solvers by Christian Hafner, 1999-03-23

lists with details

Wave Equation Solver
http://frontier.ams.sunysb.edu/frontiercalc2/PDE_Solver/wavesolver/index_wavesol
Heat Equation Solver
http://frontier.ams.sunysb.edu/frontiercalc2/PDE_Solver/heatsolver/index_heatsol
Quadratic Equation Calculator
Calculator for solving a general quadratic equation.
http://www.1728.com/quadratc.htm
Diffpack Online
Wave1Dfunc, 1D wave equation solver coded in F77/C style A time-dependent advection-equation solver equipped with adaptive grids and a tool for
http://www.diffpack.com/book/appsuite_details.html

Extractions: The Jump Start Applications is a collection of more than 50 source codes program templates for the purpose of quicly learning Diffpack programming. The complexity varies from simple "Hello World" programs to extensive coupled simulators for complicated multi-physics problems. They are constructed with a step-wise pedagogical exposition and are written by the most experienced Diffpack programmers. You may download these applications from our Download Area Descriptions of Jump Start Applications AdvecA Time-dependent advection-equation with adaptive grids arraysyntax Demonstration of vectors and matrices in Diffpack Cd Nonlinear time-dependent PDEs of convection-diffusion type Variant of Poisson1 tailored to a complex PDE Simulator for a complex PDE Finite element convection-diffusion simulator 2D heat or diffusion equation on a rectangle Thermo-elastic problems with a prescribed temperature field 2D/3D simulator for elasto-plastic problems ExpBasisFunc Example on how to implement new finite elements in Diffpack GaussSeidelDemo Gauss-Seidel for finite difference-discretized Poisson equation Time-dep. heat and diffusion equation, extension Poisson1
SUNDIALS
CVODE is a solver for systems of ordinary differential equations (ODEs). User Documentation for IDA, a DifferentialAlgebraic equation Solver for
http://acts.nersc.gov/sundials/

Extractions: Introduction SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) refers to a family of closely related solvers: These solvers have some code modules in common, primarily a module of vector kernels and generic linear system solvers, including one based on a Scaled Preconditioned GMRES method. All of the solvers are suitable for either serial or parallel environments. Parallelization was accomplished by rewriting the module of vector kernels, whereby the parallel version of each kernel operates on vectors that have been distributed across processors. All message passing calls are made through MPI. CVODE is a solver for systems of ordinary differential equations (ODEs). It contains methods for the solution of both stiff and nonstiff initial value problems. Integration methods include variable-coefficient forms of the Adams-Moulton and Backward Differentiation Formula methods. In the case of stiff problems, the linear systems can be solved by direct (dense or band) methods (in serial environments only), or by a preconditioned Krylov method, GMRES. In the direct cases, the user can supply the system Jacobian or let the solver generate it internally. In the case of GMRES, the user can either supply a preconditioner or use one that is included with the package. The latter is a block-banded preconditioner based on domain decomposition. CVODE is written in C but is usable in a Fortran application, by way of a package of interface routines included.
Study Trigonometry With College-Cram.com!
Mastering trigonometry can be easier with our Formula solvers and other Cramlets. Use this Formula Solver! Series program to learn how to calculate the
http://www.college-cram.com/library/study-trigonometry.htm

Extractions: user Name: password: Accounting Astronomy Biology Business-Math Chemistry College-Algebra Economics Finance French Fun German Mythology Physics Pre-Calculus Spanish Trigonometry All Angle Functions Complex Numbers Trigonometry Angle Functions area of a trianglestwo sidesanglesine right trianglehypotenusehypotenuseoppositesine adjacentright trianglehypotenusearccosineinversedrexel adjacentright trianglehypotenusearccosineinverseCosine/ ArcCosine of an Angle Use this Formula Solver! Series program to learn how to calculate the cotangent of an angle. It's great for checking your homework answers, too!
ASPN : Python Cookbook : A Simple Equation Solver Using Attribute Access And Int
ActiveState Open Source Programming tools for Perl Python XML xslt scripting with free trials. Quality development tools for programmers systems
http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/303396

Extractions: Description: This is a little equation solver somewhat modelled on the solvers available in some scientific calculators. You pass it a function which returns zero when the desired relation is true. Once you create a solver object, you can solve for any variable. Source: Text Source '''equation solver using attributes and introspection''' from future import division class Solver (object): '''takes a function, named arg value (opt.) and returns a Solver object''' def # see important note on order of operations in setattr below. for arg in f.func_code.co_varnames[0:f.func_code.co_argcount]: self._args[arg]=None self._setargs(**args) def repr(self): argstring= .join([ '%s=%s' % (arg,str(value))
A Flexible Technique For Time Integration Of Chemical Differential Equations
method based on a fast general differential equation solver and a preprocessor The solver chosen is a linearlyimplicit 2-stage Rosenbrock method
http://www.mpch-mainz.mpg.de/~kuhlmann/rvkdisshtml/node21.html

Extractions: A flexible technique for time integration of chemical differential equations Integrating the chemical equations forward in time involves the solution of a set of stiff differential equations. In 3D chemical modeling mainly two techniques are applied, the Quasi-Steady-State-Approximation (QSSA, Hesstvedt et al. ) and the Euler Backward Iterative (EBI, Hertel et al. ) method (see e.g. Kanakidou et al. for an overview), or a parameterization of the chemistry is used ( Levy et al. Wang et al. ). However, all of these methods are heavily dependent on the problem to be solved. Although they have been proven to be fast enough for 3D applications (one of the strongest constraints on a numerical method in this field, especially as chemical schemes are becoming more and more complex), their implementation requires much error-prone manual coding and considerable experience. For good performance and stability, they need manual lumping of species into strongly interacting groups. Also, the methods are not generally mass conserving. Since a goal of this thesis was to use different chemical schemes (see Chapter ), a general solving method, which allows flexible changing of the chemical mechanism, is clearly advantageous. Therefore it was decided to use a new method based on a fast general differential equation solver and a preprocessor that provides the basic mathematical routines needed. The solver chosen is a linearly-implicit 2-stage Rosenbrock method called
ESTS0752: VCODE, Ordinary Differential Equation Solver For Stiff And Non-Stiff P
ESTS0752 CVODE. (Abstract last modified 21MAR-2001). VCODE, Ordinary Differential equation Solver for Stiff and Non-Stiff Problems
http://www.nea.fr/abs/html/ests0752.html

Extractions: 2. COMPUTER FOR WHICH PROGRAM IS DESIGNED AND OTHER MACHINE VERSION PACKAGES AVAILABLE - To request or retrieve programs click on the one of the active versions below. A password and special authorization is required. Explanation of the status codes. Program-name Package-ID Status CVODE ESTS0752/01 Arrived Machines used: Package-ID Orig.Computer Test Computer ESTS0752/01 SUN 3. DESCRIPTION OF PROGRAM OR FUNCTION - CVODE is a package written in ANSI standard C for solving initial value problems for ordinary differential equations. It solves both stiff and non stiff systems. In the stiff case, it includes a variety of options for treating the Jacobian of the system, including dense and band matrix solvers, and a preconditioned Krylov (iterative) solver. 4. METHOD OF SOLUTION - Integration is by Adams or BDF (Backward Differentiation Formula) methods, at user option. Corrector iteration is by functional iteration or Newton iteration. For the solution of linear systems within Newton iteration, users can select a dense solver, a band solver, a diagonal approximation, or a preconditioned Generalized Minimal Residual (GMRES) solver. In the dense and band cases, the user can supply a Jacobian approximation or let CVODE generate it internally. In the GMRES case, the preconditioner is user-supplied.
Institute For Computational Dynamics
Direct Gaussian equation Solver for the Mixed Finite Element Formulation of Tree Multigrid Generator and Iterative equation Solver for Mixed Finite
http://www.iu.hio.no/~sowille/public/journal_txt.html
RECSY - High Performance Sylvester-Type Equation Solver Library
Library by Isak Jonsson and Bo Kågström for solving triangular Sylvestertype matrix equations.
http://www.cs.umu.se/research/parallel/recsy/

Extractions: Introduction Sylvester-Type Matrix Equations Triangular Matrix Equations Usage ... References RECSY is a library for solving triangular Sylvester-type matrix equations. Its objectives are both speed and reliability. In order to achieve these goals, RECSY is based on novel recursive blocked algorithms , which call new high-performance kernels for solving small-sized leaf problems of the recursion tree [ Jonsson and Kågström , 2002a, 2002b]. In contrast to explicit standard blocking techniques, our recursive approach leads to an automatic variable blocking that has the potential of matching the memory hierarchies of todays HPC systems. The RECSY library comprises a set of Fortran 90 files, which uses recursion and OpenMP for shared memory parallelism to solve eight different matrix equations, including continuous-time as well as discrete-time standard and generalized Sylvester and Lyapunov equations. The Sylvester-type matrix equations considered are a set of linear matrix equations that appear and are commonly used in different control theory applications.
Transvalor, Simulation Software For Material Forming Processes.
a flow front transport equation solver, and a heat equation solver. REM3D® features two standard behavior laws used in the modelling of injection molding
http://www.transvalor.com/index.php?rub=37&mo=5&so=37
Man Scilab
dasrt DAE solver with zero crossing dassl - differential algebraic equation ode_root - ordinary differential equation solver with root finding
http://scilabsoft.inria.fr/product/man/html/eng/nonlinear/whatis.htm

Extractions: NDcost - generic external for optim computing gradient using finite differences bvode - boundary value problems for ODE dasrt - DAE solver with zero crossing dassl - differential algebraic equation datafit - Parameter identification based on measured data derivative - approximate derivatives of a function - Parameter identification based on measured data fsolve - find a zero of a system of n nonlinear functions impl - differential algebraic equation - definite 2D integral by quadrature and cubature method - definite 3D integral by quadrature and cubature method intc - Cauchy integral intg - definite integral intl - Cauchy integral karmarkar - karmarkar algorithm leastsq - Solves non-linear least squaresproblems linpro - linear programming solver lmisolver - linear matrix inequation solver lmitool - tool for solving linear matrix inequations lsqrsolve - minimize the sum of the squares ofnonlinear functions, levenberg-marquardt algorithm numdiff - numerical gradient estimation ode - ordinary differential equation solver - ordinary differential equation solver, discrete time simulation
Ode: ----- Ordinary Differential Equation Solver
2.5.20 ode ordinary differential equation solver. CALLING SEQUENCE. y=ode(y0,t0,t,f) y,w,iw=ode(type,y0,t0,t ,rtol ,atol,f ,jac ,w,iw) y
http://scilabsoft.inria.fr/doc/manual/Docu-html678.html

Extractions: It is an interface to various solvers, in particular to ODEPACK. The type of problem solved and the method used depend on the value of the first optional argument type which can be one of the following strings: not given lsoda solver of package ODEPACK is called by default. It automatically selects between nonstiff predictor-corrector Adams method and stiff Backward Differentiation Formula (BDF) method. It uses nonstiff method initially and dynamically monitors data in order to decide which method to use.
ChiefDelphi Forums - Complex Equation Solver
This is a discussion forum used to discuss the FIRST Robotics Competition.
http://www.chiefdelphi.com/forums/archive/index.php/t-27866.html
OR/MS Today - August 1997 - Software Review
Over the years, TK Solver has evolved from a basic equation solver to a versatile mathematical At the heart of the TK system is the equation solver.
http://www.lionhrtpub.com/orms/orms-8-97/SoftwareReview.html

Extractions: Mathematical modeling package is versatile, offers application development capabilities TK Solver from Universal Technical Systems, Inc. (UTS) has been around since the early 1980s. Over the years, TK Solver has evolved from a basic equation solver to a versatile mathematical modeling and application development tool. It has proven to be popular, especially among engineers and physical scientists. Release 3 for Windows has added several features that should make it even more so. These features include OLE Automation support for custom front-end programming using Visual Basic, Microsoft Excel or other environments; OLE 2.0 support for dynamic linking and embedding of TK objects into Microsoft Office documents; external function calls using FORTRAN, C, Pascal and other compiled languages; a set of Wizards to aid in list solving, plotting and unit conversion; and a Greek character palette for math equations.
Differential Equations - Mathematics And Engineering Software - Maplesoft
Maplesoft is a world leader in mathematical and analytical software. The Maple system embodies advanced technology such as symbolic computation,
http://www.maplesoft.com/products/maple/features/solid/de.aspx

Extractions: The following is a list of some of the improvements for finding exact solutions of ODEs and partial differential equations (PDEs), and systems of ODEs and PDEs. Newly developed solving algorithms for certain classes of Abel type ODEs, Riccati type ODEs, and Heun function solutions Newly developed solving algorithms for computing different types of Traveling Wave Solutions for PDEs and PDE systems Newly added algorithms for computing Liouvillian solutions and for solving a general class of ODEs that can be mapped to Abel type
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