61. Robert Marik Pages Qualitative theory of partial and ordinary differential equations, theory oflinear and halflinear difference equations. Scientific activities http://old.mendelu.cz/~marik/interest.html

Mgr. Robert Maøík, Ph.D. Mendel University of Agriculture and Forestry Dpt. of Mathematics Zemìdìlská 3 613 00 Brno, Czech Republic Scientific interest: Qualitative theory of partial and ordinary differential equations, oscillation properties. Qualitative theory of linear and half-linear difference equations. Scientific activities: Member of American Mathematical Society , reviewer for Zentralblatt MATH , author of 3 reviews for international scientific journals. Published reserch papers: On p-degree functionals with one free end point , Proc. Int. Sci. Conf. Math. Žilina (1998), 183188. Nonnegativity of functionals corresponding to the second order half-linear differential equation Arch. Math (Brno) online version Oscillation criteria for Schroedinger PDE Adv. Math. Sci. Appl. No. 2, Vol. 10 (2000), 495511. Nonexistence of the positive solutions of partial differential equations with p-Laplacian Acta Math. Hungar. Coauthor O. Došlý. HartmanWintner type theorem for PDE with p-Laplacian EJQTDE Proc. 6th Coll. QTDE 2000, No. 18, 17.

62. Devaney Books differential equations, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS. The Mandelbrot and Julia sets A Toolkit of Dynamics activities. http://math.bu.edu/people/bob/books.html

Books by Robert L. Devaney DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS. Elsevier Academic Press . ISBN 0-12-349703-5 (2004). With M. W. Hirsch and S. Smale. This is a text for an advanced undergraduate course in Differential Equations. It is a completely revised and updated version of the classic Hirsch-Smale text called Differential Equations, Dynamical Systems and Linear Algebra. Text home page. A FIRST COURSE IN CHAOTIC DYNAMICAL SYSTEMS. Now published by Perseus Publishing Co. (a division of Harper/Collins), 1992. ISBN 0-201-55406-2. Telephone (Harper-Collins): 800-386-5656. This is an undergraduate textbook about chaotic dynamical systems. The only prerequisites are a background in calculus and an interest in mathematics. Topics covered include iteration, bifurcations, symbolic dynamics, Sarkovskii's Theorem, Chaos, the Schwarzian derivative, Newton's Method, Fractals, Julia sets, and the Mandelbrot set. Numerous computer experiments are included. AN INTRODUCTION TO CHAOTIC DYNAMICAL SYSTEMS.

63. Courses And Activities - Analysis Prerequisites, Basic theory of partial differential equations attractors ofdifferential equations under numerical discretization; numerical methods http://www.math.leidenuniv.nl/~stieltjes/archief/analysebob.html

Thomas Stieltjes Institute for Mathematics Analysis 1997/98 Title: Course Operator Theory Lecturers: M.A. Kaashoek, ( kaash@cs.vu.nl ); S.M. Verduyn Lunel, ( verduyn@wins.uva.nl Time and place: 3 hours per week, from the beginning of September until the beginning of December; Vrije Universiteit Amsterdam Contents: This course treats various topics from the theory of non-selfadjoint operators with the aim to develop a qualitative theory for concrete classes of integral- and (functional) differential equations. A strong interaction with complex function theory is typical; operators are studied using analytic functions (determinant functions, characteristic matrix functions, symbols) which appear in a natural way. Often operators will be considered as maps generated by dynamical systems. Much attention will be given to the analysis of particular families of solutions (existence, asymptotic behaviour etc.). The list of topics for this year includes the following subjects. The resolvent operator and the Riesz-Dunford calculus, in particular for unbounded operators, spectral theory of strongly continuous semi-groups and the corresponding generators, in connection with this the development of a perturbation theory (variation of constants formula), completeness of systems of eigenfunctions and generalised eigenfunctions, aiming at a qualitative theory of dynamical systems, applications to functional differential equations.

64. Citation For Athanassios Spyridon Fokas Fokas’ work has been that of integrable systems of partial differential equations, for elucidating the behaviour of partial differential equations. http://www.lms.ac.uk/activities/prizes_com/citations00/fokas.html

Citation for Athanassios Spyridon Fokas The Naylor Prize for 2000 is awarded to Professor A.S. Fokas of Imperial College, London. He has made substantial contributions to the theory of integrable systems and to the theory of other important linear and nonlinear equations, including boundary-value problems. He has established himself as a leading analyst worldwide in these significant areas of applied mathematics. One main theme of Thanasis Fokas’ work has been that of integrable systems of partial differential equations, and the role of inverse scattering and other methods for solving such equations. With collaborators, he was in the vanguard with the introduction of the concepts of master symmetry and of bi-Hamiltonian structures, and in the development of the Riemann-Hilbert and so-called d-bar methods for solving partial differential equations in, for example, two space dimensions and one time dimension, such as the Kadomtsev-Petviashvili (KP) equation. In further joint work, Fokas showed how the famous inverse scattering approach could be exploited to solve other linear and nonlinear problems with nontrivial boundary and initial conditions. In this regard the formulation in terms of Lax pairs proved to be invaluable, especially the realisation by Fokas that the two Lax equations, when analysed simultaneously and when supplemented with the analysis of a global relation, enabled solutions to be obtained by the Riemann-Hilbert or d-bar methods. This pioneering work is expected to have major ramifications for elucidating the behaviour of partial differential equations.

65. University Of Central Arkansas | Undergraduate Bulletin | Courses In Mathematics Lecture and problem solving activities. Prerequisites C or better in MATH 1390 3331 ORDINARY differential equations This course is required for applied http://www.uca.edu/ubulletin/03/3060501.html

Skip to main content. University of Central Arkansas Undergraduate Bulletin 2004 - 2006 Important Site Links UCA Home UBulletin Home Contents Search Undergraduate Bulletin Document Number 3.06.05.01 Mathematics Return to Mathematics [1] Courses in Mathematics (MATH) 1150 MATHEMATICS DISCOVERY SEMINAR The purpose of the seminar is to improve students' analytical thinking and problem-solving skills early in their mathematics careers by introducing the logical foundations of mathematics and by developing and implementing group and individual problem-solving strategies. Seminar format. Prerequisite: MATH 1390 or equivalent. On demand. 1191 MATHEMATICS SOFTWARE This course is required for a major in applied mathematics. As an introduction to computer algebra software, such as Mathematica, Derive, and other current software, this course provides students with basic computer skills for applications throughout the mathematics curriculum and prepares students who are enrolled in calculus or pre-calculus to use technology to enhance their understanding of mathematics. Laboratory. Prerequisite: MATH 1390 or equivalent. Recommended Corequisite: MATH 1591. Fall, spring. 1360 MATHEMATICS IN SOCIETY This course satisfies the general education aims of the university through the study of topics in contemporary mathematics. Upon completion of the course, students will be able to apply principles of mathematics to real-world situations, create mathematical and statistical models of the situations, and utilize the models to solve problems. The primary methods of instruction are lecture and demonstration. Prerequisite: Math ACT of 19 or higher or C or better in UNIV 1340. Fall, spring, summer.

66. EEVL Computing Section Browse All of EEVL, Partial differential equations Only Provided here are detailsof the research activities and graduate studies of this centre in fundamental http://www.eevl.ac.uk/computing/comp-browse-page.htm?action=Class Browse&browses

67. FIM - Adaptive Methods For Solving Differential Equations Weekly Bulletin Special activities Nachdiplom Lectures The lecturesdiscuss adaptivity in solving differential equations by discretization with http://www.math.ethz.ch/research/groups/fim/activities/eth_lectures/archive/ss20

People Guests Information for Guests Contact ... Help Search Weekly Bulletin Special Activities Nachdiplom Lectures Preprints ... WS 99/00 Adaptive methods for solving differential equations Rolf Rannacher , Universit¤t Heidelberg, Deutschland Beginning: Thursday, April 11, 2002 Time: Thursday 10:00-12:00 Room: HG G 43 (Hermann-Weyl-Zimmer) Abstract The lectures discuss "adaptivity" in solving differential equations by discretization with emphasis on Galerkin finite element methods. The key issues are "a posteriori error estimation" and "automatic mesh adaptation". Beside the traditional approach of "energy-error control" a new duality-based technique for "goal-oriented error estimation" will be discussed in detail. This method aims at economical computation of certain quantities of physical interest, which is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. Tentative contents The goals of numerical simulation Approaches to a posteriori error estimation How to organize mesh adaptation?

68. MSRI Summer Graduate Programs Lie Groups And The Method Of The The fundamentals of exterior differential systems will be presented and illustratedby for the general system of (real analytic) differential equations, http://www.msri.org/activities/events/9899/sgp99/bryant.html

69. Prirodovedecka Fakulta, Masarykova Univerzita V Brne Vedení sekce . Vlastní web sekce . The research activities Research DepartmentFunctional differential equations and Matematical and Statistical http://www.sci.muni.cz/web/main.php?stranka=311&podtext=30&jazyk=EN

70. CIS: Activities: Colloquium Details Colloquium Details. Partial differential equations in interpretation of a classof ophthalmological images. Author, Andrew P. Paplinski Computer Science http://www.cs.uoregon.edu/activities/talks/20000203-Paplinski.php

@import url(/2005style.css); Skip to main content Research Education Classes ... Announcements Colloquium Details Partial differential equations in interpretation of a class of ophthalmological images Author: Andrew P. Paplinski Date: February 03, 2000 Time: Location: 220 Deschutes Abstract The results presented in this seminar originate from ongoing work on interpretation of a class of ophthalmological images, namely, the Posterior Capsular Opacification (PCO) images acquired in St. Thomas' Hospital, London after cataract operations. The work is conducted in co-operation with the Image Processing Group, Department of Physics, King's College London. We start with the background information regarding acquisition of the images, their general characterization, and a formulation of a problem which we attempt to solve. Then we briefly describe the current method of segmentation of the PCO images based on a directional variance operator and co-occurrence arrays. The method is now routinely used and works well in majority of cases. In order to deal with difficult-to-segment images, we have investigated non-linear filtering method based on application of partial differential equations. We present results of application of two image processing/enhancement algorithms, namely, an anisotropic diffusion method and a curvature-driven min/max flow.

71. MATH3024 Partial Differential Equations To present the theory of partial differential equations, with special focus onobtaining Teaching and learning activities. Teaching methods include http://www.ecs.soton.ac.uk/admissions/ug/syllabus.php?unit=MATH3024

72. Mathematics & Mechanics Faculty Of SPBU. Personal Pages. Sergei Yu. Piliugin Teaching activities. I began to teach at the Faculty of Mathematics and Mechanics, I am giving the basic course of differential equations for this group http://www.math.spbu.ru/user/pils/tch.html

Home Page of Sergei Yu. Pilyugin Teaching activities I began to teach at the Faculty of Mathematics and Mechanics, Leningrad (now St.Petersburg) State University in 1970. The main course of lectures I was giving is the one-year basic course of differential equations (for second-year students). I was also giving practical seminars based on this course. All this time I was also giving special seminars for students specializing at the Department of Differential Equations . These seminars were devoted to various fields of the theory of differential equations, such as the local and global qualitative theories, stability theory, theory of oscillations, theory of bifurcations, theory of invariant manifolds, theory of structural stability, theory of shadowing. Under my supervision, more than 40 students prepared their graduate theses. In 1977, I developed and began to give a one-year special course on structural stability of differential equations (at that time, no analogs of this course were given at the universities of the USSR). Later I have published a book based on this course (monograph [II] is its English translation). In 1989, I developed and began to give a one-year special course on spaces of dynamical systems (also having no analogs). Monograph [III] reflects some basic parts of this course.

73. Faculty Members And Their Research Activities Geometry and partial differential equations. In particular, 1) harmonic map andits applications in understanding geometry of moduli spaces, http://www.math.tohoku.ac.jp/mistaff.html

Faculty of Mathematical Institute, Tohoku University (as of October 1, 2004) English / Japanese Back to the Home Page of Mathematical Institute Professors Associate Professors ... Research Associates Professors Shigetoshi BANDO, Ph.D. Differential geometry, with analytical method, in particular interested in Einstein metrics. Einstein metrics on real manifolds, Einstein-Kaehler metrics Einstein-Hermitian metrics on holomorphic vector bundles. Masaki HANAMURA , Ph.D. Algebraic Geometry. In particular, algebraic cycles, cohomology theories, and theory of motifs. Tetsuya HATTORI , D.Sc. Mathematical physics and probability theory, with emphasis on renormalization group approaches. Masanori ISHIDA , D.Sc. Algebraic geometry varieties. In particular, complexes of modules associated to toric algebraic varieties. Katsuei KENMOTSU, D.Sc. Differential geometry. In particular, submanifold geometry which studies minimal surfaces, constant mean curvature surfaces and submanifolds with parallel mean curvature in various spaces. Motoko KOTANI, D.Sc.

74. Thomas Wanner S Professional Activities Professional activities by Thomas Wanner AIMS Conference on Dynamical Systems,differential equations and Applications, Poitiers, France (June 2528, http://math.gmu.edu/~wanner/talklist.html

Professional Activities by Thomas Wanner Coming up: Dynamics Days 2006 , Bethesda, Maryland (January 4-7, 2006). Workshop on Computational Topology and Materials Science, Atlanta, Georgia (February, 2006). DyToComp 2006: Dynamics, Topology, and Computations , Bedlewo, Poland (June 4-10, 2006). AIMS Conference on Dynamical Systems, Differential Equations and Applications , Poitiers, France (June 25-28, 2006). Organization of minisymposia and workshops: Minisymposium on Topological Analysis of Patterns (co-organizer: Konstantin Mischaikow), SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 2005). Minisymposium on Stochastic Differential Equations: Dynamics and Applications, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 2001). Minisymposium on Pattern formation in the Cahn-Hilliard model (co-organizer: Stanislaus Maier-Paape), SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 1999). Invited lectures and conference presentations: Third Pacific Rim Conference on Mathematics, Fudan University, Shanghai, China (August 18, 2005).

75. Faculty And Schoole Of Engineering, The University Of Tokushima RESEARCH activities. This department offers the educational programs in physics and (A.Kohda); Partial differential equations of elliptic type; http://www.e.tokushima-u.ac.jp/English/appl/research.html

FACULTY AND SCHOOL OF ENGINEERING THE UNIVERSITY OF TOKUSHIMA Top A Message from the Dean Organization Civil and Environmental Engineering Mechanical Engineering Chemical Science and Technology Electrical and Electronic Engineering ... Contact Applied Physics and Mathematics Applied Physics and Mathematics's Web Server Faculty and Staff Curriculum Research Activities RESEARCH ACTIVITIES This department offers the educational programs in physics and mathematics for the students of seven departments. The emphasis is on fundamental principles, as well as the recognition of the importance of applied phisics and mathematics to engineering fields. The department is divided into two research groups: applied physics and applied mathematics. APPLIED PHYSICS @The research field of this group is solid state phisics; the subjects concern the physical investigations of materials such as ceramics, ionic conductors, superconductors, in which nuclear magnetic resonance (NMR) method is mainly used. Current topics of each staff are as follows. Studies on superionic conductors by NMR and ultrasonic techniques; Chemical bonding and ionic conduction in noble metal halides; Fast ion transport in lithium transition metal oxides; Ionic behavior in lithium sodium sulphate; Elastic constants analysis of lithium ion conductors. (T.Kanashiro)

76. Selected Professional Activities Selected Professional activities. Articles in Progress editors, DomainDecomposition Methods for Partial differential equations, pages 204213. http://www.math.unh.edu/~black/professional/pub.html

Selected Professional Activities Articles in Progress Marrongelle, Karen, Black, K., and Meredith, D. ``Studio Calculus/Physics: Interdisciplinary Mathematics with Active Learning,'' Manuscript accepted for Publication by the Integrated Mathematics Editorial Panel of the National Council of Teachers of Mathematics for inclusion in a book scheduled for publication in 2002. John B. Geddes, Willie Firth, and Kelly Black. ``Pulse Dynamics in an Actively Mode-Locked Laser,'' submitted for publication in the SIAM Journal on Applied Dynamical Systems , November 2002. Publications Black, Kelly, and Geddes, J. ``Spectral Hermite Approximations for the Actively Mode-Locked Laser,'' Journal of Scientific Computing , 16(2), pp. 81-120, (2001). J. B. Geddes, K. M. Short, and K. Black, "Extracting Signals from Chaotic Laser Data," Phys. Rev. Lett. Black, Kelly, "Spectral Element Approximation of Convection-Diffusion Type Problems" , 23 May 1999. Black, Kelly, "A Conservative Spectral Element Method for the Approximation of Compressible Fluid Flow" , Kybernetica, 35(1), pp 133-146 (1999). Black, Kelly

77. Doug Meade's Home Page -- Part II Professional activities and Interests. Publications; Grant Support Math 242 (Elementary differential equations) HONORS; Math 544 (Linear Algebra) http://www.math.sc.edu/~meade/details.html

Department of Mathematics College of Arts and Sciences University of South Carolina Professional Activities and Interests Publications Grant Support Teaching Development Fund (USC Provost) (1995-6) NSF DMS Award Lilly Fellow (Lilly Foundation) (1994-95) - Final Report Instructional Development Fund (USC Provost) (1995) NSF ILI Program Course Information Fall 2005 Math 526 (Numerical Linear Algebra) Spring 2005 Labs for Math 142 (Calculus II) Fall 2004 Math 141 (Calculus I) Labs for Math 141 (Calculus I) Spring 2004 Math/Stat 511 (Probability) Labs for Math 142 (Calculus II) Fall 2003 Math 142 (Calculus II) - HONORS Labs for Math 141 (Calculus I) Spring 2003 Labs for Math 142 (Calculus II) Fall 2002 Math 141 (Calculus I) Spring 2002 Math 241 (Vector Calculus) - HONORS Fall 2001 Math 526 (Numerical Linear Algebra) Spring 2001 Math 241 (Vector Calculus) Math 554 (Real Analysis) Fall 2000 Math 241 (Vector Calculus) - HONORS Math 524 (Nonlinear Optimization) Spring 2000 Math 242 (Elementary Differential Equations) - HONORS Math 544 (Linear Algebra) Fall 1999 Math 122 (Calculus for Business Administration and Social Sciences) Math 552 (Applied Complex Analysis) Fall 1998 Math 524 (Nonlinear Optimization) Math 720 (Applied Mathematics I) Spring 1998 Math 122 (Calculus for Business Administration and Social Sciences) Math 242 (Elementary Differential Equations) Fall 1997 Math 122 (Calculus for Business Administration and Social Sciences) Math 550 (Vector Analysis) Spring 1997 Math 141 (Calculus I) Math 550 (Vector Analysis) Fall 1996 Math 544 (Linear Algebra)

78. Professional Activities And Service Professional activities and Service. 1 Referee Work for Journals, Publishers, differential equations, CSM Professional Outreach Evening School. http://www.mines.edu/fs_home/whereman/pro_act.html

Professional Activities and Service Journals Applied Mathematics Letters Applied Optics Computers and Mathematics Computers in Physics Computer Physics Communications European Journal of Applied Mathematics Europhysics Letters Foundations of Physics Geophysical Research Letters IEEE Transactions on Sonics and Ultrasonics International Journal of Computers and Mathematics with Applications Journal of the Acoustical Society of America Journal of Computational and Applied Mathematics Journal of Mathematical Physics Journal of Nonlinear Mathematical Physics Journal of Physics A: Mathematics and General Journal of Symbolic Computation Mathematical Reviews Mathematics and Computers in Simulation Numerical Functional Analysis and Optimization Numerical Methods for Partial Differential Equations Physica D Physics Letters A Physical Review B and E Physical Review Letters Proceedings of the Royal Society A SIAM Journal of Applied Mathematics Simon Stevin The Mathematica Journal Wave Motion Proceedings International Conferences Asian Conference on Computer Mathematics (ASCM) Agencies American Mathematical Society (AMS) Engineering and Physical Sciences Research Council U.K. (EPSRC)

79. Mathematical And Computer Science Progress With Regard To Assessment: differential equations was revised to have three tests and a final. Course continuesto be monitored through focus group activities. Spring 99 http://www.mines.edu/Academic/assess/Feedback.htm

Mathematical and Computer Sciences Department's Use of Information Acquired through Assessment Activities Semester Source Concern Response Follow-up Spring '97 Feedback from Physics Department Students Knowledge of Vectors in Physics Course. Vectors were discussed in Physics the semester before they were addressed in Calculus. Revision of Calculus sequence to correspond with the physics sequence. The introduction of vectors now occurs in Calc II rather than Calc III. Mini-grant study completed in Summer of 1999 by Dr. Barbara Bath suggests that students have been successful in the new sequence. This same study also recommends further analysis with regard to the effect of the sequence upon students performances in physics. Spring '98 Faculty Survey Appropriateness of the general set of Departmental Goals and Objectives to Core Courses, Mathematics Major Courses and Computer Science Major Courses. Departmental Goals and Objectives were re-examined and separate lists of Goals and Objectives were developed for Core Courses, Mathematics Major Courses and Computer Science Major Courses. On-going review of the Faculty Survey and appropriateness of current goals and objectives by Undergraduate Curriculum Committee.

80. Numerical Analysis & Scientific Computing Group The scope and aims of the R D activities of the Scientific Computing and numerical Numerical Analysis of differential equations with stochastic terms. http://www.iacm.forth.gr/numerical/R&D_activities.html

FORTH Institutes IACM Development and application of high-order accurate methods for computations of compressible and incompressible flows Computation of flows including strong discontinuities, LES of compressible turbulence. (Ekaterinaris, Vavilis) Direct computation of noise generated by high-speed flows. (Ekaterinaris) Computation of compressible flow with strong magnetic effects used for flow control. (Toulopoulos, Ekaterinaris). LES of incompressible flows using high order, energy preserving numerical schemes. (Kampanis, Ekaterinaris) Development of Biomedical computation approaches using specific patient data obtained from medical imaging and geometry reconstruction techniques Three-dimensional reconstruction and preparation of organ geometries (abdominal aorta, bone, vertebrates etc.) using level set methods and other computational techniques. (Papaharilaou, Manousaki) Evaluation of abdominal aorta aneurysms (AAA) rapture risk, generation and proliferation based on computed flowfield information. (Papaharilaou, Katsamouris, Ekaterinaris)

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 4     61-80 of 100    Back | 1  | 2  | 3  | 4  | 5  | Next 20