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 Differential Equations:     more books (100)

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1. Zuse Institute Berlin - Scientific Software - CodeLib
Fortran 77 codes for large systems of linear equations, systems of nonlinear equations, nonlinear least squares, ordinary differential equations, and quadrature.
http://www.zib.de/SciSoft/Software/../CodeLib/index.en.html

2. Moved
Methods such as finite differences, finite elements, fast Fourier transforms, MonteCarlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroedinger equations.
http://www.fusion.kth.se/courses/pde

3. Differential Equations Via Maple
www.swetswise.com/link/access_db?issn=00122661 www.swetswise.com/link/access_db?issn=1040-7294 More results from www.swetswise.com Project Links differential equations Indexdifferential equations Modules. Full Metadata . Lake Pollution. v, This module on lake pollution is about using differential equations to model lake pollution.
http://www.uidaho.edu/~calvert/de.html

Extractions: Over a period of several years I wrote and rewrote a set of Maple .mws files for use by my students in an introductory class in Ordinary Differential Equations. The files consist of a series of interactive readings on using Maple to learn a particular DE topic. Associated with each reading file is another file of exercises on the topic. If you examine these files, you will see that they amount to rather more than the usual set of laboratory exercises such as are available in several commercial workbooks. My intent in these lessons is to use Maple to teach differential equations techniques, rather than to teach about using Maple. On the other hand, the persistent student who works through these lessons will surely become an expert at using Maple. To obtain a copy of the shareware click on Maple files for DE Load this file into the directory you want to use and run de.exe. It will explode into about 80 files. The files are in DOS format; however, they can easily be imported into a Macintosh machine (and probably others). You will probably need to use a DOS machine to run de.exe. If your web server cannot accomodate this transfer, you can obtain the file at ftp://ftp.uidaho.edu/pub/ibmpc/math/.

4. Nicoleta Bila
University of Cambridge. Geometric Integration of partial differential equations.
http://www.damtp.cam.ac.uk/user/na/people/Nicoleta/

5. Differential Equations And Mathematica
Welcome to your Online Mathematica Companion for differential equations ! The print version Linear Partial differential equations Appendix.

6. COMSOL : FEMLAB - Multiphysics Modeling
commercial A powerful interactive environment for modeling and solving scientific and engineering problems involving partial differential equations.
http://www.femlab.com/

7. Modules For Differential Equations
Numerical Solutions of differential equations, World Class Sprints, SecondOrder Linear Homogeneous differential equations with Constant Coefficients,
http://www.math.duke.edu/education/ccp/materials/diffeq/

8. Visual Mathematical Physics
Collection of animated gif pictures describing the solutions of the main partial differential equations such as Laplace, Poisson, string and membrane oscillations and heat conduction.
http://www.isir.minsk.by/eng/educ/mathphys/

9. Math 848, Fall, 1998 Class Notes
1. Introduction 2. Linear Transformations 3. General Properties of differential equations 4. Existence Uniqueness Theorem 5. Dependence of Solutions to
http://www.mth.msu.edu/~sen/Math_848-ps/

10. Hassane BOUZAHIR
Neutral Functional differential equations with infinite delay. Preprints, CV, personal interests.
http://www.geocities.com/hbouzahir

11. 35: Partial Differential Equations
Like ordinary differential equations, partial differential equations are equations to be solved in which the unknown element is a function, but in PDEs the
http://www.math.niu.edu/~rusin/known-math/index/35-XX.html

Extractions: POINTERS: Texts Software Web links Selected topics here Like ordinary differential equations, partial differential equations are equations to be solved in which the unknown element is a function, but in PDEs the function is one of several variables, and so of course the known information relates the function and its partial derivatives with respect to the several variables. Again, one generally looks for qualitative statements about the solution. For example, in many cases, solutions exist only if some of the parameters lie in a specific set (say, the set of integers). Various broad families of PDE's admit general statements about the behaviour of their solutions. This area has a long-standing close relationship with the physical sciences, especially physics, thermodynamics, and quantum mechanics: for many of the topics in the field, the origins of the problem and the qualitative nature of the solutions are best understood by describing the corresponding result in physics, as we shall do below. Roughly corresponding to the initial values in an ODE problem, PDEs are usually solved in the presence of

12. 34: Ordinary Differential Equations
Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information
http://www.math.niu.edu/~rusin/known-math/index/34-XX.html

Extractions: POINTERS: Texts Software Web links Selected topics here Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. There are many important classes of differential equations for which detailed information is available. Applications to engineering and the sciences abound. Numerical solutions are actively studied. Note that every indefinite integration problem is really an example of a differential equation, so the entirety of section 28: Integration and Measure is subsumed in this section in principle. The solutions to many classic differential equations, particularly linear second-order differential equations, cannot be expressed in terms of the elementary functions but are themselves studied in 33: Special Functions . This includes Bessel functions, Whittaker functions, Airy functions, and so on.

13. Math Shop Review Questions
Review quizzes for calculus, differential equations, linear algebra and other advanced math fields.
http://www.math.ucla.edu/~ronmiech/

14. Differential Equations
History of differential equations. differential equations are an integral part or a goal of many undergraduate calculus courses.
http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Extractions: History of Differential Equations In many ways, differential equations are the heart of analysis and calculus, two of the most important branches of mathematics for over the past 300 years. Differential equations are an integral part or a goal of many undergraduate calculus courses. As an important mathematical tool for the physical sciences, the differential equation has no equal. So it is widely accepted that differential equations are important in both applied and pure mathematics. The history of this subject is rich in its development, and that's what we look at here. The foundations of this subject seem to be so dominated by the contributions of one man, Leonhard Euler , that one could say the history of this subject starts and ends with him. Of course, that would be a gross simplification of its development. There are many important contributors, and those who came before Euler were necessary so that Euler could understand the calculus and analysis necessary to develop many of the fundamental ideas. The contributors after Euler have both refined his work and forged entirely new ideas, inaccessible to Euler's 18

15. Online And Private Math, Physics, Engineering, English Tutor In Redwood City & S
Offers online and local private tutoring for elementary school to college level students. Subjects include algebra, geometry, trigonometry, precalculus, calculus, differential equations, electrical engineering, and elementary physics. Private tutoring is available in Redwood City, California area. Page includes contact information.

Extractions: Welcome to Ask A Tutor Net Online and Private Tutors - Elementary School Through College Level Students Welcome Knowledge Excellence Empowerment Our Service Online Tutoring Private Tutoring Test Preparation ... Become a Private Tutor in your Area Download Example Problems (coming soon) Our Service What Students and Parents are Saying Subjects Tutored Math English Sciences Engineering Basic Math Composition Elementary Physics Circuits and Devices Algebra Grammar Biology Statics Pre Algebra Mechanics General Sciences Geometry Spelling Trigonometry Outlining Pre Calculus Sentences Calculus I, II, III Technical Writing Differential Equations Linear Algebra Finite Math Online Tutoring manrao@askatutor.net

16. Differential Equations - UNCW & UALR
differential equations Explorations Through Technology. Mirror site at UNCW Last Updated July 1, 1997. UNCW, UALR. differential equations Labs.
http://www.ualr.edu/~erkaufmann/detech/Detech.html

Extractions: Last Updated July 1, 1997 UNCW UALR Russell Herman Eric R. Kaufmann herman@cms.uncwil.edu erkaufmann@ualr.edu Gabriel Lugo lugo@cms.uncwil.edu We have collaborated on a lab manual for our Introductory Differential Equations Course. The manual has been written to be used with most of the standard software on the market, but we have provided examples using either Mathcad 6.0 and Maple V Release 4. At least two-thirds of the labs involve applications of ODE's to the physical and biological sciences with several labs requiring data acquisition. Getting Started DejaVu All Over Again Direction Fields First Order Linear Equations ... A House Made of Straws Summer II 1997 Dynanical Systems Course at UALR Summer II 1997 DE Course at UALR Fall 1996 DE Course at UNCW MCP Calculus Labs ... MCP Project DE Resource Pages University Mathematics Departments UNCW UALR

17. IVP Software By Francesca Mazzia And Felice Iavernaro
The code GAM numerically solves solves first order ordinary differential equations, either stiff or nonstiff in the form y'=f(x,y), with a given initial condition. The code GAMD is a generalization of GAM for the solution of Differential Algebraic Equations of index less than or equal to 3 in the form M y' = f(x,y), with a given initial condition. By Francesca Mazzia.

Extractions: The code GAM numerically solves solves first order ordinary differential equations, either stiff or nonstiff in the form y'=f(x,y), with a given initial condition. The code GAMD is a generalization of GAM for the solution of Differential Algebraic Equations of index less than or equal to 3 in the form M y' = f(x,y), with a given initial condition. The methods used in both codes are in the class of Boundary Value Methods (BVMs), namely the Generalized Adams Methods (GAMs) of order 3,5,7,9 with step size control F.IAVERNARO, F.MAZZIA, Block-Boundary Value Methods for the solution of Ordinary Differential Equation. Siam J. Sci. Comput. 21 (1) (1999) 323339. Full paper. F.IAVERNARO, F.MAZZIA, Solving Ordinary Differential Equations by Generalized Adams Methods: properties and implementation techniques, proceedings of NUMDIFF8, Appl. Num. Math. 28 (2-4) (1998) 107-126. Full paper.

18. Differential Equations Calculator
differential equations Calculator.
http://www.compute.uwlax.edu/diff_eq/

19. Michael Holst (mholst@math.ucsd.edu)
Numerically approximates the solutions of linear and nonlinear elliptic partial differential equations in threedimensional (logically) brick-like domains in an efficient and robust way. PMG employs a non-uniform Cartesian mesh of the user's choice, box-methods or finite element methods for discretization, algebraic (or geometric) construction of lower-dimensional subspace problems, damped-inexact Global Newton methods for nonlinearities, and a jacobian multilevel iteration based on the algebraic (or geometric) subspace hierarchy. There is a sequential Fortran 77 version and a parallel C++ version. By Michael Holst.
http://scicomp.ucsd.edu/~mholst/codes/pmg/index.html

Extractions: PMG = Parallel algebraic MultiGrid PMG is an algebraic multilevel code written in several languages (FORTRAN, C, C++, and CC++). The original FORTRAN/C/C++ versions were written for sequential computers, whereas the more recent CC++ port is a distributed memory parallel implementation. All of the versions of PMG are designed to numerically approximate the solutions of linear and nonlinear elliptic partial differential equations in three-dimensional (logically) brick-like domains in an extremely efficient and robust way. To accomplish this task, PMG employs a non-uniform Cartesian mesh of the user's choice, box-methods or finite element methods for discretization, algebraic (or geometric) construction of lower-dimensional subspace problems, damped-inexact Global Newton methods for nonlinearities, and a jacobian multilevel iteration based on the algebraic (or geometric) subspace hierarchy. The code is applicable to three-dimensional nonlinear Poisson-like scalar equations, allowing for nonlinearities that depend on the scalar unknown (but not on derivatives); nonlinearities of this type occur in the Poisson-Boltzmann equation as well as in other applications, such as the drift-difussion equations in semiconductor modeling. The class of problems for which the code is applicable can be extended with suitable modifications to the code (the methods need not be modified). For strongly elliptic equations with self-adjoint differential operators and smooth coefficients, the solution method is provably optimal (meaning O(N), where N mesh points are used on the finest user-specified mesh). For strongly elliptic self-adjoint operators with simple coefficient discontinuities, the solution method is provably O(N log N). For strongly elliptic self-adjoint operators with arbitrary discontinuities, the solution method is provably convergent, and emperically appears to retain the O(N log N) behavior.

20. (Germany) UniversitÃ¤t Erlangen-NÃ¼rnberg
DIME Project Data Local Iterative Methods for the Efficient Solution of Partial differential equations. People, publications, software.
http://wwwbode.cs.tum.edu/Par/arch/cache/

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