Dynamics Of Partial Differential Equations Mark Ablowitz, Jerry Bona, Shiyi Chen. Carmen Chicone, Bjorn Engquist, Michal Feckan. Giovanni Gallavotti, Yannis Kevrekidis, Boris Khesin http://www.intlpress.com/PDE/
Extractions: Mission Submissions Subscriptions Editors ... Contents Editors-in-Chief Y. Charles Li S.-T. Yau Associate Editors Mark Ablowitz Jerry Bona Shiyi Chen Carmen Chicone Bjorn Engquist Michal Feckan Giovanni Gallavotti Yannis Kevrekidis Boris Khesin Joel Lebowitz Xiao-Biao Lin Yvan Martel Boris Mityagin Tudor Ratiu Terence Tao Marcelo Viana Stephen Wiggins Jack Xin Yuncheng You Artyom Yurov Yuxi Zheng P D E
Volterra A short biography on Volterra and his work in differential equations and mathematical physics. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Volterra.html
Extractions: Version for printing Vito Volterra 's interest in mathematics started at the age of 11 when he began to study Legendre 's Geometry. At the age of 13 he began to study the Three Body Problem and made some progress by partitioning the time into small intervals over which he could consider the force constant. His family were extremely poor (his father had died when Vito was two years old) but after attending lectures at Florence he was able to proceed to Pisa in 1878. At Pisa he studied under Betti , graduating Doctor of Physics in 1882. His thesis on hydrodynamics included some results of Stokes , discovered later but independently by Volterra. He became Professor of Mechanics at Pisa in 1883 and, after Betti 's death, he occupied the Chair of Mathematical Physics. After being appointed to the Chair of Mechanics at Turin he was appointed to the Chair of Mathematical Physics at Rome in 1900. Volterra conceived the idea of a theory of functions which depend on a continuous set of values of another function in 1883.
Extractions: Shopping Cart This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably "corresponding" situations, which provide a systematic explanation of the remarkable "coincidences" found "by hand" in the hypergeometric case. Other Princeton books by Nicholas M. Katz:
Daniel A. Steck: Computer Fortran 90 codes to integrate Ito stochastic differential equations, generate random numbers, compute the FFT, and time programs. http://george.ph.utexas.edu/~dsteck/computer.html
Extractions: Computer Here is an integrator for Ito stochastic differential equations, which implements several higher-order methods (with strong convergence) with fixed time steps. A sample driver program is included. Written in Fortran 90, updated 3/11/04. ( .tgz archive or browse source A portable random-number generator, which generates very high-quality random numbers that will be exactly the same on any machine that supports 32-bit integer arithmetic. Three modern algorithms are included and can be combined to give sequences with even longer periods. Written in Fortran 90, updated 8/10/05. ( .tgz archive or browse source A collection of FFT routines for parallel computation of 2D and 3D FFTs. Written in F90-style HPF, updated 7/18/03. ( .tgz archive or browse source A collection (module) of timing routines for Fortran programs, including facilities for printing the current execution time, triggering a checkpoint after some amount of time, and generating a Unix-style date/time stamp from within Fortran, including the day of the week (as well as a facility to calculate the day of the week from a date). Written in Fortran 90. ( .tgz archive or browse source A system to automatically disable AirPort before sleep under OS X, for LANL security rules.
MATHnetBASE: Mathematics Online Functional Methods in differential equations. VeliMatti Hokkanen Gheorghe Morosanu. Read it Online! Buy it Today! In recent years, functional methods have http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=952
Augusto C. Ponce Institute for Advanced Study. Nonlinear elliptic partial differential equations. Publications and research projects. http://www.math.ias.edu/~augponce/
Math 242 (Section 501 -- HONORS), Spring 2000 Template for differential equations, Chapter 1, templateDE.mws template-DE.html. Template for Systems, Chapter 2, template-SYS.mws template-SYS.html http://www.math.sc.edu/~meade/math242/
Extractions: Template for Differential Equations Chapter 1 template-DE.mws template-DE.html Template for Systems Chapter 2 template-SYS.mws template-SYS.html Template for Laplace Transforms Chapter 6 template-LT.mws template-LT.html Introduction to Maple none day1.mws day1.html Modeling via Differential Equations BDH1-1.mws BDH1-1.html Slope Fields BDH1-3.mws BDH1-3.html Euler's Method pr1-4-4.mws pr1-4-4.html Homework #2 homework2.mws homework2.html Bifurcations BDH1-7.mws BDH1-7.html Homework #3 homework3.mws homework3.html Exam 1 Problem 1 exam1.mws exam1.html Predator-Prey Models BDH2-1.mws BDH2-1.html Geometry of Systems BDH2-2.mws BDH2-2.html Homework #4 homework4.mws homework4.html Analytic Solutions of Special Systems BDH2-3.mws
Calculus Resources Covers limits, derivatives, integration, infinite series and parametric equations. Includes resource links for multivariable calculus, differential equations and math analysis. http://www.langara.bc.ca/mathstats/resource/onWeb/calculus/
Extractions: Langara College - Department of Mathematics and Statistics Internet Resources for the Calculus Student If you have come across any good web-based calculus support materials that are not in the above listed collections, please do let us know and we may add them here. Give Feedback Return to Langara College Homepage
Online And Private Math, Physics, Engineering, English Tutor In Redwood City & S Subjects include algebra, geometry, trigonometry, precalculus, calculus, differential equations, electrical engineering, and elementary physics, English. Private tutoring is only available in the cities neighboring Redwood City and Santa Rosa. Includes contact information and prices. http://www.freewebz.com/mathtutor/
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
DVERK Fortran 77 subroutine written by Hull, Enright and Jackson for the numerical solution of systems of initial value problems for ordinary differential equations. http://www.cs.toronto.edu/NA/dverk.f.gz
Texas A&M Numerical Methods For PDE Group Numerical Methods for PDE Group. Primarily concerned with the efficient numerical approximation of solutions of partial differential equations. http://www.math.tamu.edu/research/numerical_analysis/
Extractions: Home People Seminar Projects ... Former Visitors and Students The numerical methods group is primarily concerned with the efficient numerical approximation of solutions of partial differential equations. The techniques and expertise include the development and analysis of iterative methods, stability and error analysis for finite element, finite difference and finite volume approximations, and large scale scientific computation with industrial application. The group consists of eight permanent faculties, graduate students and numerous visitors. As well as doing research into theoretical numerical analysis, the group works closely with the Institute for Scientific Computation in the development of large scale scientific simulations for serial and parallel computing architectures. The graduate program in numerical analysis includes courses in basic numerical analysis and analysis of iterative methods. More advanced courses concerning the theory of finite elements, domain decomposition, multigrid, and mixed finite elements are also offered on a regular basis. Numerical Analysis Qualifying Examination Texas Finite Element Rodeo Home People ... Former Visitors and Students Last revised Sept. 29, 2003.
FISHPACK90 Efficient Fortran 90 subprograms for the solution of separable elliptic partial differential equations. http://www.scd.ucar.edu/css/software/fishpack90/
Extractions: FISHPACK90 Introduction FISHPACK90 Solver Description Obtaining FISHPACK90 Software FISHPACK90 is a collection of FORTRAN subprograms that use cyclic reduction to directly solve second- and fourth-order finite difference approximations to separable elliptic Partial Differential Equations (PDEs) in a variety of forms. (See MUDPACK for software that uses multigrid iterative techniques to approximate separable and nonseparable elliptic PDEs). FISHPACK90 includes solvers for the Helmholtz equation in Cartesian, Polar, Cylindrical, and Spherical coordinates as well as solvers for more general separable elliptic equations. Provisions are made to handle coordinate-system-induced singularities (e.g., at the origin r=0 in cylindrical coordinates and at the poles in spherical coordinates). Solutions obtained in the least-squares sense are computed for singular problems. The following table summarizes the contents of FISHPACK90. Descriptions can be obtained by clicking on the solver name. De cri PDEs solved are included after the table.
Yuri Bakhtin: Homepage International Institute of Earthquake Prediction Theory And Mathematical Geophysics (IIEPT), Moscow. Probabilistic models of mathematical physics; stochastic partial differential equations; limit theorems of probability theory. Publications. http://www.mccme.ru/~bakhtin/
Extractions: Probabilistic models of mathematical physics. Stochastic differential equations. Limit theorems of probability theory. Curriculum Vitae Some papers: (Full list of publications) Yuri Bakhtin, Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades, submitted, 2004 [ statsolu.pdf Maxim Arnold, Yuri Bakhtin, Efim Dinaburg Regularity of Solutions to Vorticity Navier-Stokes System on plane
Graphmatica By KSoft Is an equation plotter with numerical, and calculus features. It can graph Cartesian functions, relations and inequalities, plus polar, parametric, and ordinary differential equations. Win95/98/Me/NT/2000 http://www8.pair.com/ksoft/index.html
Partial Differential Equations An overview of partial differential equations and their physical applications. http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html
Mike Giles University of Oxford. Development and analysis of numerical methods for partial differential equations, particularly in computational fluid dynamics; parallel and distributed computing. http://web.comlab.ox.ac.uk/oucl/people/mike.giles.html
A Matlab Differentiation Matrix Suite Functions for solving differential equations by the spectral collocation (a.k.a. pseudospectral) method. http://dip.sun.ac.za/~weideman/research/differ.html
Extractions: Important: If you got redirected here from my previous homepage at Oregon State University, please update your bookmarks accordingly, as that page will be terminated in the next few months. JACW This is a MATLAB software suite, created by JAC Weideman and SC Reddy, consisting of seventeen functions for solving differential equations by the spectral collocation (a.k.a. pseudospectral) method. It includes functions for computing differentiation matrices of arbitrary order corresponding to Chebyshev, Hermite, Laguerre, Fourier, and sinc interpolants. It also includes FFT-based routines for Fourier, Chebyshev and sinc differentiation. Auxiliary functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials. In the accompanying paper it is demonstrated how to use the package for solving eigenvalue, boundary value, and initial value problems arising in the fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability. The paper has been published in ACM TOMS, Vol. 26, pp. 465519 (2000). (
Sturm A biography of the Mathematican who worked on differential equations and created the form now call SturmLiouville equations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Sturm.html
Extractions: Version for printing Sturm came from a Protestant family and, in order to learn German, he attended the local Lutheran church where sermons were preached in that language. When Sturm was sixteen years old his father died and he changed tack in his academic studies, leaving the humanities and taking up the study of mathematics. He was taught mathematics at Geneva Academy by Simon Lhuilier in 1821 and immediately Lhuilier recognised the mathematical genius in Sturm. However, Lhuilier was over seventy years of age and close to retiring at this time so it was his successor Jean-Jacques Schaub who inspired Sturm. Schaub did more than teach Sturm mathematics for he supported him financially at the Academy. Sturm's family had been left in considerable financial difficulties on the death of his father so the financial assistance allowed Sturm to continue with his education. Gergonne 's In Paris he was introduced into the scientific circles by the family. Sturm wrote to his friend Colladon (see [1]):-
Extractions: Collocation software based on a Runge-Kutta time integrator for 1-D Parabolic PDEs and Schrodinger type problems, with spatial and temporal error control, Rong Wang , Pat Keast and Paul H. Muir . This is available as a technical report . The software and two driving programs are available in a tarred and zipped directory on the web . (Submitted to ACM Transactions on Mathematical Software) A comparison of adaptive software for 1-D parabolic PDEs, Rong Wang , Pat Keast and Paul H. Muir , J. Comput. Appl. Math., 169 (2004), 127-150. Available in pdf form, and postscript form. A high-order global spatially adaptive collocation method for 1-D parabolic PDEs, Rong Wang , Pat Keast and Paul H. Muir , Appl. Numer. Math., 50 (2004), 239-260. Available in pdf form, and postscript form. BACOL: B-spline Adaptive COLlocation software for 1-D parabolic PDEs, Rong Wang , Pat Keast and Paul H. Muir , ACM Trans. Math. Soft., 30 (2004), 454-470. Available in pdf form, and ps form. The software can be obtained here Pulse Detection in Initial Value ODEs , with Amy Hynick and Paul H.
Analysis Conference Washington University in St. Louis, MO, USA; 1114 May 2005. http://www.math.wustl.edu/ac/
Extractions: The Washington University Department of Mathematics hosted an international Analysis Conference on the Interplay of Complex Variables, Probability and Partial Differential Equations from May 11 to May 14, 2005. The afternoon session on May 14 was devoted to celebrate the mathematical achievements of Albert Baernstein II on the occasion of his sixty-fifth birthday.
