... Abstract : The class includes some difference equations, differential-difference equations as well as retarded functional differential equations; that is ...
DTIC Science & Technology
Nov 16, 2005 ... Applications of this work to the integration of differential equations and to the study of exact solutions to the Einstein equations will be ...
E-print Network
... Abstract : The asymptotic theory of the reduced wave equation and Maxwell's equations for high frequencies is presented. ...
... Abstract : Contents: Infinitely-differentiable and analytic functions; Entire solutions of the heat equation; A class of infinitely-differentiable non ...
functional analytic approach to partial differential equations. (c) Finite element methods and abstract. The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations) iterative methods for discrete elliptic equations 2. ...
... Abstract : A unified matrix method of deriving and solving differential equations and mechanical impedance equations for a forced vibration system ...
Institute for Computer Applications in Science and Engineering. Abstract ... equations arises from the fact that the differential equations are ...
NASA Website
... Pagination or Media Count : 139. Abstract : This study is concerned with a set of n coupled non-linear differential equations. ...
... March 1966 THE METHOD OF LINES FOR NUMRICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS ABSTRACT ...
... Abstract : Lumped and continuous systems subjected to ... PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, METAL PLATES ...
Jan 22, 2011 ... dc.description.abstract, Evolutionary partial differential equations are usually solved by decretization in time and space, and by applying ...
Jan 22, 2011 ... Abstract: Evolutionary partial differential equations are usually solved by decretization in time and space, and by applying a marching in ...
The report studies a nonlinear functional differential equation in Banach space. This equation is an abstract form of the equations of motion for nonlinear materials with fading memory. Its basic structure is hyperbolic in character so that global smooth ...
National Technical Information Service (NTIS)
... Descriptors : (*FUNCTIONAL ANALYSIS, DIFFERENTIAL EQUATIONS), (*DIFFERENTIAL EQUATIONS, STABILITY), DIFFERENCE EQUATIONS ...
... Descriptors : *NONLINEAR DIFFERENTIAL EQUATIONS, *INVARIANCE, *DIFFERENTIAL GEOMETRY, *PARTIAL DIFFERENTIAL EQUATIONS ...
of linear difference equations where the Galois groups are linear differential groups. These groups measure the differential dependence among solutions of linear difference equations. We will show how this theory can difference equations. Solving Linear Differential ...
Ordinary differential equations Revision on ordinary differential equations October 28, 2008 Revision on ordinary differential equations #12;Ordinary differential equations Order of an ODE The order Revision on ordinary ...
... 13. ABSTRACT (Maximum 200 words) Variational methods have been developed to treat problems in ordinary and partial differential equations ...
... Abstract : Variational methods have been developed to treat problems in ordinary and partial differential equations involving multibump solutions ...
... Abstract : In the asymptotic theory of non-linear differential equations it is frequently important to have a precise asymptotic description not only of ...
... Abstract : The absolute stability of a class of dynamical systems with a single nonlinearity which satisfy neither the Popov not the extended Popov ...
... Title : Nonlinear Waves: Coherence, Chaos, Pattern Formation, and Geometry. ... Abstract : Coherence and chaos in partial differential equations was ...
ASSOCIATED WITH FUNCTIONAL DIFFERENTIAL EQUATIONS. Kazufumi Ito. Institute for Computer Applications in Science and Engineering. Abstract ...
Oct 16, 2000 ... ABSTRACT -- Baron Fourier established linear partial differential equations as a powerful tool in mathematical physics. ...
... Abstract : Coefficient Inverse Problems (CIPs) for Partial Differential Equations (PDEs) represent a very important tool for such needs of the Army as ...
... of the weak solutions, we show that ... Descriptors : *HYPERBOLIC DIFFERENTIAL EQUATIONS ... MODELS, ALGORITHMS, NONLINEAR SYSTEMS. ...
... Abstract : The purpose of this thesis is to linearize given non-linear differential equations and design a complete automatic control system for the ...
... Abstract : A three dimensional hyperbolic differential equation based on finite correlated particle velocities is derived which is appropriate to ...
... Abstract : The boundary element methods are studied for a variety of partial differential equations in optics and elasticity, including the Helmholtz ...
... Abstract : Contents: The cauchy problem for the coupled Maxwell and Dirac equations by Leonard Gross; Control in finite time of differential ...
... Abstract : Modern qualitative theory of differential equations originated with the work ... High angles, Angle of attack, Velocity, Geometry, Flight control ...
... Abstract : A generalized set of differential equations was derived for modeling the interior ballistics of cartridge actuated devices in the hydrosphere. ...
... Abstract : Finite element computer codes are used in variety of fields to solve partial differential equations of importance in science and engineering ...
... Abstract : In conjunction with the differential equations of coupled thermoelasticity with initial stresses, adjoint variational principles have been ...
Is the numerical integration of nonlinear partial differential equations the only way to tackle atmospheric complexity? Or do cascade dynamics repeating ...
... Pagination or Media Count : 49. Abstract : Solutions of certain hyperbolic systems of nonlinear partial differential equations are discussed. ...
... Abstract : A computer program is presented for solving a system of two quasilinear partial hyperbolic differential equations in two independent and ...
... Abstract : Research is briefly summarized which addressed essentially eight areas of research: (1) reaction-diffusion equations; (2) quasi-solutions ...
... Abstract : Several simple modifications of the Lindzen-Kuo, Gaussian elimination algorithms for solving elliptic differential equations are derived. ...
... Abstract : We use the time-dependent Hartree approximation to obtain solutions to a quantized higher-order nonlinear Schroedinger equation. ...
solutions of a ho- mogeneous linear differential equation L(y) = 0 with coefficients in an algebra* *ic an nth order linear differential equation has a solution y with y0=y algebraic is * *also discussed linear differential equation with only algebraic solutions comes f* ...
(Sample of Master's Thesis Title Page) DIFFERENTIAL EQUATIONS ON TWO LINES By Sir Isaac Newton 1685) #12;(Sample of an Abstract Title Page) DIFFERENTIAL EQUATIONS ON TWO LINES By Sir Isaac Newton Thesis Title Page) DIFFERENTIAL EQUATIONS ON TWO LINES By ...
... (Author). Descriptors : *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS, INTEGRAL EQUATIONS ...
... Descriptors : (*GAME THEORY, DIFFERENTIAL EQUATIONS), (* DIFFERENTIAL EQUATIONS, GAME THEORY), MATRICES(MATHEMATICS ...
... Descriptors : (*LINEAR PROGRAMMING, DIFFERENTIAL EQUATIONS), (*DIFFERENTIAL EQUATIONS, LINEAR PROGRAMMING), BOUNDARY ...
... Descriptors : *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS. ...
... DIFFERENTIAL EQUATIONS FOR POLYMERISATION KINETICS At 63 ... Ordinary Differential Equations for Polymerisation Kinetics ...
... Descriptors : (*FUNCTIONAL ANALYSIS, DIFFERENTIAL EQUATIONS), (*DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), DIFFERENCE ...
... Descriptors : *NONLINEAR DIFFERENTIAL EQUATIONS, *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, DYNAMICS ...
... Descriptors : (*DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS), (*DIFFERENCE EQUATIONS, DIFFERENTIAL EQUATIONS), INTEGRAL ...
... Descriptors : *NONLINEAR DIFFERENTIAL EQUATIONS, DIFFERENTIAL GEOMETRY, PARTIAL DIFFERENTIAL EQUATIONS, POTENTIAL ...
Interactive Differential Equations (IDE) is designed to be a new component to a course in differential equations. It consists of a CD-ROM containing 97 interactive tools and a workbook of labs and exercises relating to these tools. The interactive computer graphics uniquely illustrate abstract ...
NSDL National Science Digital Library
This report consists of abstracts from the conference. Topics include algorithms, computer codes, and numerical solutions for differential equations. Linear and nonlinear as well as boundary-value and initial-value problems are covered. Various applications of these problems are also included.
Energy Citations Database
A two-phase model for the growth of a single cell population structured by size is formulated and analyzed. The model takes the form of a delay-differential equation in a Banach space. Using positivity arguments, the spectrum of the infinitesimal generato...
... apply to various types of differential equations and Markov processes, including some partial differential equations and diffusion equations, and to ...
... discusses work in the fields of partial differential equations, ordinary differential equations, control theory, differential geometry, complex analysis ...
Scientific computation is devoted largely to processes for numerical solution of ordinary and partial differential equations, integral equations, and finite systems of linear and nonlinear equations, all problems which can be formulated abstractly as a fi...
ALPAL is a program which automatically generates code to solve nonlinear partial differential equations and other problems. The ALPAL user specifies the equations to be solved and their numerical methods at a very high level of abstraction. When equations...
A single closed equation is derived to describe both acoustic and gravitational waves in a stratified moving medium, with compressibility of the medium and buoyancy taken into account. This equation, a partial second order differential with respect to tim...
... Descriptors : *Linear differential equations, *Quadratic equations, *Volterra equations, Stability, Partial differential equations, Integral equations ...
... Descriptors : (*THERMODYNAMICS, DIFFERENTIAL EQUATIONS), (*DIFFERENTIAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS ...
... Descriptors : (*DIFFERENTIAL EQUATIONS, DIFFUSION), (*INTEGRAL EQUATIONS, DIFFUSION), BROWNIAN MOTION, THERMAL ...
... STATISTICAL INFERENCE, SIGNALS, SAMPLING, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, EQUATIONS ...
... (Author). Descriptors : *DIFFERENCE EQUATIONS, *DIFFERENTIAL EQUATIONS, *PARTIAL DIFFERENTIAL EQUATIONS, CRYSTAL LATTICES ...
... APPROXIMATION(MATHEMATICS), ANISOTROPY, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, SUBSONIC FLOW ...
... for identification in partial differential equations is described and illustrated by the Laplace equation and the unsteady heat conduction equation. ...
... (Author). Descriptors : (*ELASTIC SHELLS, MATHEMATICAL ANALYSIS), (*INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS), BODIES OF ...
... Descriptors : *NONLINEAR DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, DIFFERENTIAL EQUATIONS, NUMERICAL METHODS ...
... COEFFICIENTS, COORDINATES, SYMMETRY, RESONANCE, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, EQUATIONS ...
... DIFFERENTIAL EQUATIONS, NONLINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFUSION, EQUATIONS, LONG ...
... Descriptors : *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, THEORY. ...
... EQUATIONS, TURBULENCE, AFTERBURNERS, EXHAUST GASES, INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS, MATHEMATICAL ...
... BOUNDARY VALUE PROBLEMS, DIFFERENTIAL GEOMETRY, NONLINEAR DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS. ...
... SYSTEMS, CHEMICAL REACTIONS, HYDRODYNAMICS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, NUMERICAL ...
... AND PROCEDURES, FINITE ELEMENT ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, PERTURBATION ...
... Descriptors : *DIFFERENTIAL EQUATIONS, DIFFERENTIAL GEOMETRY, CELESTIAL MECHANICS, N BODY PROBLEM, STABILITY, THEOREMS ...
... Descriptors : *GAME THEORY, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, STATISTICAL PROCESSES. ...
... QUANTUM STATISTICS AND THE BOLTZMANN EQUATION. ... DENSITY, DIFFERENTIAL EQUATIONS, EQUATIONS, FUNCTIONAL ANALYSIS ...
... Descriptors : (*FUNCTIONAL ANALYSIS, EQUATIONS), DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, INTEGRAL EQUATIONS ...
... Descriptors : *NONLINEAR DIFFERENTIAL EQUATIONS, *DIFFERENTIAL EQUATIONS, STABILITY, MATRICES(MATHEMATICS), EIGENVALUES ...
... Title : The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painleve Type. ...
... theory for generalized differential equations and general linear boundary value problems for non linear differential equations; singular perturbation ...
Differential Equations. This section contains the following topics: ... Differential Equations Routines. IDL Online Help (March 06, 2007)
... Nonlinear Partial Differential Equations, Differential Equation3, 4 ... Computational & Theoretical Aspects of Nonlinear Partial Differential Equations ...
Abstract: Einstein equation using differential geometry to identify gravitational fields. NASA Center: Goddard Space Flight Center Publication Year: 1969 ...
... CENTER. Personal Author(s) : Hung,Hing-Sum. Report Date : MAR 1970. Pagination or Media Count : 159. Abstract : Spline ...
... Abstract : The dynamics of a large class of non-linear systems are described implicitly, ie, as a combination of algebraic and differential equations. ...
... Abstract : A FORTRAN program has been developed for solving non-linear differential equations of the form dX/d+X+epsilonf(X;epsilon) = 0 using ...
... Abstract : This program solves numerically the set of simultaneous non-linear differential equations which describe the dynamic behavior of the ...
... Abstract : The differential equations for the one-dimensional, varying-area channel flow of a perfect gas in the presence of a magnetic field are ...
... Abstract : Quasi linear systems of partial differential equations with initial and ... Multi-dimensional hyperbolic systems are treated by a semi-analytic ...
Jan 22, 2011 ... dc.description.abstract, We discuss our implementation strategies for finite difference multigrid partial differential equation (PDE) ...
... Abstract : It is shown that phase-locked loops with noise corrupted inputs can be represented by non-linear differential equations with randomly ...
We develop a compartmental model for evaluating HIV testing and treatment scenarios. A system of coupled delay differential equations is used to represent ...
... Abstract : This report describes a finite difference solution to a coupled pair of steady state non-linear differential equations that arise in a model of ...
Both ordinary and partial differential equations are covered. ... Abstract: Even under the assumption that all Orbiter and ISS elements would be operating ...
Mar 1, 2011 ... Abstract: Einstein equation using differential geometry to identify gravitational fields. NASA Center: Goddard Space Flight Center ...
A study has been made of Cauchy's problem for a class of abstract parabolic differential equations. Our study is based upon a transformation that maps solutions of second-order abstract Cauchy problems into solutions of first-order. This is a preliminary report on some of the results obtained. These results include ...
PubMed Central
behavior of the roots of some algebraic equation which is similar to the char- acteristic equation for linear differential equations with constant ...
... Descriptors : *Wave equations, *Partial differential equations, *Nonlinear differential equations, *Relativity theory, Cauchy problem, Calculus of ...
In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations. PMID:16591839
PubMed
In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.
We introduce variational particle schemes for the porous medium equation and the system of isentropic Euler equations in one space dimension. The methods are motivated by the interpretation of each of these partial differential equations as a 'steepest descent' on a suitable ...
DOE Information Bridge
The simulation of complex systems describing different physical effects becomes more and more of interest in various applications. Examples are couplings describing interactions between circuits and semiconductor devices, circuits and electromagnetic fields, fluids and structures. The modeling of such complex processes [1, 2, 3, 4, 7, 8] often leads to coupled systems that are composed of ordinary ...
NASA Astrophysics Data System (ADS)
The theory of abstract Markov operators and semigroups is applied for studying asymptotics of a randomly flashing diffusion process. The probability distribution of the process is determined by a set of two partial differential equations and sufficient conditions for the existence of a stationary solution of the ...
The Cauchy problem for a system of two operator-differential equations in Hilbert space that is a generalization of a number of linear coupled thermoelasticity problems is investigated. Results concerning the high smoothness of the solutions to these equations are proved.
This report summarizes the complete research findings of the PI. Included are titles and places of publication of all journal, book, and conference papers, and abstracts. A listing of major conferences and meetings where these research results were reported is also provided.
ABSTRACT: We discuss the relationship between (a) electromagnetic masking or cloaking of objects produced by some metamaterial blueprints and (b) some invariances of Maxwell equations obviated by means of differential forms (exterior calculus). � 2007 Wiley Periodicals, Inc.
Almost periodic solutions for first order differential equations Mihai Bostan (7th September 2005) Abstract We study here the almost periodic solutions of first order differential equa- tions. We give solu- tions remains almost periodic. We introduce the notions of minimal/maximal solutions. Keywords
