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Equation Solvers:     more books (100)

The Nothing Equation by Tom Godwin, 2010-06-19 Ode Solver: Numerical Procedures for Ordinary Differential Equations IBM PC VersionBook & Disk by Thomas Kiffe, William Rundell, 1995-09 An efficient and flexible computational model for solving the mild slope equation [An article from: Coastal Engineering] by J. Tang, Y. Shen, et all 2004-04-01 Hybrid Solvers for the Maxwell Equations in Time-Domain (Uppsala Dissertations from the Faculty of Science & Technology, 40) by Frederik Edelvik, 2002-07 Improving Performance of Sparse Numerical Linear Algebra Computations: Algorithmic optimization techniques for sparse direct and sparse iterative numerical solvers of large linear equations by Piotr Luszczek, 2010-01-11 The Differential Equations Problem Solver by Max, program director Fogiel, 1986 Differential Equations Problem Solvers by Rea, 1980 The Differential Equations Problem Solver Vol. I by Editor, 1981-01-01 The Differential Equations Problem Solver (A complete solution guide to any textbook) by Staff of Research and Education, 1991 Differential Equations Problem Solver The Differential Equations Problem Solver by Staff of Research and Education Association, 1985 Control-volume based Navier-Stokes equation solver valid at all flow velocities (NASA technical memorandum) by S. W Kim, 1989 A Robust Implicit Shallow Water Equations Solver on Unstructured Grid by Siamak Komaei, 2005-03-31 GEAR: Ordinary differential equation system solver by A. C Hindmarsh, 1977

lists with details

21. Master Equation Solvers
    Master equation solvers. General Information. Master equation solvers solve forthe time evolution of the density matrix/Wigner function of a quantum system.  
    http://t8web.lanl.gov/people/salman/nersc/mastercodes.html
    
    Extractions: General Information Master equation solvers solve for the time evolution of the density matrix/Wigner function of a quantum system. These codes are very memory intensive since, for a single degree of freedom, the memory requirements go as L^(2n) where n is the space dimensionality and L the number of points per dimension. In the case n=1, we have run system sizes as large as 8K X 8K. The basic method of solution is a split-operator spectral technique. We have implemented algorithms that offer second and fourth order accuracy in time. Code performance is controlled typically by the performance achieved by the FFT implementation in the spectral method. The Wigner representation is often advantageous since it allows the use of nonsymmetric grids to optimize accuracy. Atom-optical Master Equation The purpose of the code is to simulate experiments being performed at the University of Texas (Austin) and at the University of Auckland, on dynamical localization in the quantum delta-kicked rotor. Previous simulation codes have not explicitly treated the atomic internal-state dynamics, and so were incapable of directly addressing questions about the role of atomic spontaneous emission. In FY 98 we had focused on validating the F90/MPI code by comparing its output to those of a proven HPF code without internal dynamics, in a parameter regime where spontaneous emission can justifiably be neglected. We now plan to use it for detailed studies of the effects of decoherence on dynamical localization in atom-optical systems.

22. Schrodinger Solvers
    Schrodinger Solvers. General Information. Schrodinger equation solverssolve for the time evolution of the wave function of a quantum system.  
    http://t8web.lanl.gov/people/salman/nersc/schrcodes.html
    
    Extractions: General Information Schrodinger equation solvers solve for the time evolution of the wave function of a quantum system. The memory requirements go as L^(mn) where n is the space dimensionality, L the number of points per dimension, and m the number of degrees of freedom. The basic method of solution is a split-operator technique which may be implemented either in Fourier or coordinate space. The algorithm is fully unitary and also applies to the nonlinear Schrodinger equation. Options for second or fourth order accuracy in time are available. Code performance is controlled typically by the performance achieved by the FFT implementation in the spectral method and by the implementation of shift operators in the coordinate space versions. We have recently added the capability to solve nonlinear stochastic Schrodinger equations used to model continuous quantum measurements via the so-called ``quantum trajectory'' technique. These codes use tracking methods to reduce memory usage for a given resolution and certain unique capabilities compared to solutions of the quantum Master equation. Split-operator Integrators This is an HPF and F90/MPI code designed for accurate, very high-resolution, long-term integration of the single-particle Schrodinger equation using a split-operator spectral method. (Unitary nonspectral split-operator solvers also exist.) We have used this code to evaluate various approximation strategies for tracking the dynamics of quantum field theories by testing these schemes in quantum mechanics. The code has proved to be of central importance in our recent studies of chaotic quantum systems where accuracy is an essential requirement. A stochastic version of this code has been used to study quantum decoherence.

23. Octave/Control Toolbox Reference Guide: Equation Solvers And Additional Math Fun
    Next Previous Contents 10. equation solvers and Additional Math Functions.10.1 are. x = are (a, b, c ,opt) Solves algebraic riccati  
    http://www.ifr.ing.tu-bs.de/octave/csref-10.html
    
    Extractions: x = are (a, b, c [,opt]) Solves algebraic riccati equation a' x + x a - x b x + c = for identically dimensioned square matrices a, b, c. If b (c) is not square, then the function attempts to use b * b' (c' * c) instead. Solution method: apply Laub's Schur method (IEEE Trans. Auto. Contr, 1979) to the appropriate Hamiltonian matrix. opt is an option passed to the eigenvalue balancing routine default is "B". See also: balance x = dlyap (a, b) Solve a x a' - x + b = (discrete Lyapunov equation) for square matrices a and b. If b is not square, then the function attempts to solve either a x a' - x + b b' = or a' x a - x + b' b = whichever is appropriate. Uses Schur decomposition as in Kitagawa (1977). x = dare (a, b, c, r [,opt]) x = lyap (a, b, c) x = lyap (a, c) pinv ( [, tol]) Returns the pseudoinverse of X; singular values less than tol are ignored. y = zgfmul(a,b,c,d,x)

24. Talk Abstract: Combining Model-reduction And Integral-equation Solvers
    Institute for Mathematics and Its Applications. Talk abstract Combiningmodelreduction and integral-equation solvers. Joel R. Phillips, Cadence  
    http://www.ima.umn.edu/dynsys/wkshp_abstracts/phillips1.html
    
    Extractions: Institute for Mathematics and Its Applications Talk abstract: 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

25. Parallel Multigrid Equation Solvers For Unstructured Finite Element Problems
    Parallel Multigrid equation solvers for Unstructured Finite Element Problems.Mark Adams (Professor James W. Demmel) (DOE) W7405-ENG-48  
    http://www.eecs.berkeley.edu/IPRO/Summary/98abstracts/madams.1.html

26. Mark Adams' Home Page
    Interests My research interests are in high performance finite element simulationsystems in particular, parallel multigrid equation solvers for large  
    http://www.cs.berkeley.edu/~madams/
    
    Extractions: Mark Adams I received my Ph.D. in Civil Engineering, from U.C. Berkele y in 1998 and am a former postdoc with Jim Demmel in the Computer Science Division , at U.C. Berkeley. I am currently a John von Neumann research fellow in the Computational Sciences, Computer Sciences and Mathematics Center at Sandia National Laboratories Research Interests: My research interests are in high performance finite element simulation systems - in particular, parallel multigrid equation solvers for large unstructured finite element problems in solid mechanics. I have developed Athena, a parallel finite element implementation, built on FEAP a serial finite element implementation. Athena uses my solver Prometheus , an unstructured multigrid equation solver for large scale ( degrees of freedom ) finite element problems, which was the focus of my dissertation . I use the PETSc - numerical libraries, from Argonne National Laboratory (ANL) , to provide high performance, cross platform, support for iterative solvers for discretized partial differential equations and ParMetis , from the University of Minnesota for parallel mesh partitioning.

27. Workload Characterization Of CFD Applications Using Partial Differential Equatio
    Workload Characterization of CFD Applications Using Partial Differentialequation solvers. Abdul Waheed and Jerry Yan. NAS Parallel  
    http://www.nas.nasa.gov/Research/Reports/Techreports/1998/nas-98-011-abstract.ht

28. Fast Banded Linear Equation Solvers
    Fast Banded Linear equation solvers. Russell K. Standish ANU Supercomputing FacilityThe Australian National University GPO Box 4, Canberra, 2601, Australia.  
    http://parallel.hpc.unsw.edu.au/rks/docs/blockcr/blockcr.html

29. Topic [MATHCAD] Differential Equation Solvers
    Sender, Message. Robert Garner Wed, 9 Sep 1998 093035 +0100, MATHCADDifferential equation solvers MC7 has a good range of differential  
    http://lists.adeptscience.co.uk/mathcad/mathcad_Sep_1998/thid_bfa2d9f27a74ee336c

30. Message Re [MATHCAD] Differential Equation Solvers
    Sender, Message. Byrge Birkeland Wed, 09 Sep 1998 123851 +0200,Re MATHCAD Differential equation solvers At 0930 09.09.98  
    http://lists.adeptscience.co.uk/mathcad/mathcad_Sep_1998/msg_573.html

31. Comparing Krylov Linear Equation Solvers
    Comparing Krylov Linear equation solvers. Subject Comparing KrylovLinear equation solvers; From Charles Broyden Broyden@tesco.net ;  
    http://www.csc.fi/math_topics/Mail/NANET00-3/msg00001.html

32. HEAT EQUATION SOLVERS
    HEAT equation solvers. Backwards differencing with dirichlet boundaryconditions heat1d_dir.m and Neumann boundary conditions heat1d_neu  
    http://www.math.sfu.ca/mast/people/faculty/mkropins/math922/lectures/heatsolvers
    
    Extractions: 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:

33. Fast Surface Integral Equation Solvers For Electromagnetic Scattering
    Fast surface integral equation solvers. Fast surface integral equationsolvers for electromagnetic scattering. Current methods rely  
    http://www.ccem.uiuc.edu/reschew13.html
    
    Extractions: Fast surface integral equation solvers 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.

34. Citation
    ACM Transactions on Mathematical Software (TOMS) archive Volume 1 , Issue 4 (December1975) toc Parallel Tridiagonal equation solvers Author Harold S. Stone  
    http://portal.acm.org/citation.cfm?id=355657&dl=ACM&coll=portal&CFID=11111111&CF

35. Citation
    archive Volume 3 , Issue 1 (March 1977) toc Stiffness and Nonstiff Differentialequation solvers, II Detecting Stiffness with RungeKutta Methods Author LF  
    http://portal.acm.org/citation.cfm?id=355719.355722&coll=portal&dl=ACM&idx=J782&

36. Equation Solvers
    next up previous Next Eigenvalue and Eigenvector Extraction Up Finite Element Library Subject Listing Previous Standard Vector and Matrix equation solvers.  
    http://www.mathsoft.cse.clrc.ac.uk/felib/Docs/html/Level-0/level0/level0-node3.h

37. Ode_v1.10.tar.gz, RK Ordinary Differnential Equation Solvers
    ode_v1.10.tar.gz, RK ordinary differnential equation solvers. Tooctavesources@bevo.che.wisc.edu; Subject ode_v1.10.tar.gz, RK  
    http://www.octave.org/octave-lists/archive/octave-sources.2001/msg00002.html
    
    Extractions: Date Prev Date Next Thread Prev Thread Next ... Thread Index ode_v1.10.tar.gz, RK ordinary differnential equation solvers http://nerdlab.me.utexas.edu/~compere http://www.octave.org How to fund new projects: http://www.octave.org/funding.html Subscription information: http://www.octave.org/archive.html Prev by Date: a couple of image processing tools Next by Date: improved/corrected dot.m Previous by thread: a couple of image processing tools Next by thread: improved/corrected dot.m Index(es): Date Thread

38. Efficient Poisson Equation Solvers For Large Scale 3D Simulations
    Chapter Numerics, Algorithms. Title Efficient Poisson equation solvers for LargeScale 3D Simulations. Author(s) G. Speyer, D. Vasileska and SM Goodnick.  
    http://www.cr.org/publications/MSM2001/html/W31.1.html
    
    Extractions: March 19-21, 2001 Chapter: Numerics, Algorithms Title: Efficient Poisson Equation Solvers for Large Scale 3D Simulations Author(s): G. Speyer, D. Vasileska and S.M. Goodnick Affiliation: Arizona State University, U.S.A. Pages: Keywords: semiconductor device modeling, poisson solver, multi-grid, BiCGSTAB Abstract: View paper ISBN: Back

39. Linear-Equation Solvers 5:
    The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set.  
    http://www.act-e.co.kr/support/cfd/lecture/twophs/sld034.htm

40. Linear-Equation Solvers 3:
    The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set.  
    http://www.act-e.co.kr/support/cfd/lecture/twophs/sld032.htm

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