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Page 4612 of Mathematical Reviews Vol. , Issue 95h [page]

1995 Mathematical Reviews  
Summary: “The paper deals with a class of quasilinear index-2 differential algebraic equations, which covers both linear variable coefficient systems and Hessenberg form equations.  ...  (D-HUMB; Berlin) Solving more general index-2 differential algebraic equations. (English summary) Recent trends and applications in the numerical solution of ordinary differential equations. Comput.  ... 

Page 4217 of Mathematical Reviews Vol. , Issue 2003f [page]

2003 Mathematical Reviews  
The use of a quasi-linear reduction leads to a simple statement of the SIBT for semiexplicit index-1 differential algebraic equations.” 2003f:34004 34A09 34-04 34A26 58A20 Schlacher, Kurt (A-LINZ-DAC;  ...  Linz) ; Kugi, Andreas (A-LINZ-DAC; Linz) Symbolic methods for systems of implicit ordinary differential equations.  ... 

Page 4171 of Mathematical Reviews Vol. , Issue 86i [page]

1986 Mathematical Reviews  
The Weyl algebra of pseudo-differential oper- ators on R” is isomorphic with the algebra of Toeplitz operators on the unit ball in C".  ...  (D-TUB) 86i:58127 An index product formula for the study of elliptic resonance problems. J. Differential Equations 56 (1985), no. 3, 408-425.  ... 

Page 4651 of Mathematical Reviews Vol. , Issue 2001G [page]

2001 Mathematical Reviews  
bases to specific systems of differential equations.  ...  algebra packages which can be utilized for the solution of polynomial problems.  ... 

Two-Parameters Bifurcation in Quasilinear Dierential-Algebraic Equations

Kamal H Yasir, Abbas M Al_husenawe
2016 JOURNAL OF ADVANCES IN MATHEMATICS  
In this paper, bifurcation of solution of guasilinear dierential-algebraic equations (DAEs) is studied.  ...  Whereas basic principle that quasilinear DAE is eventually reducible to an ordinary dierential equation (ODEs) and that this reduction so we can apply the classical bifurcation theory of the (ODEs).  ...  theory to DAEs of index one.  ... 
doi:10.24297/jam.v12i1.573 fatcat:ssjbhj4jo5bafg3kamhuavow2i

Page 3123 of Mathematical Reviews Vol. , Issue 95f [page]

1995 Mathematical Reviews  
A computer approach (219-224). {Most of the papers are being reviewed individually.} 95f:00024 00B25 * XII Escola de Algebra. Part II. [XII School of Algebra.  ...  Kéksal, Another extension of the method of quasilinearization (205-209); Irena Lasiecka, Compact attrac- tors for von Karman equations with nonlinear boundary damping (211-220); J. Lopez-Gomez and R.  ... 

Page 866 of Mathematical Reviews Vol. , Issue 98B [page]

1998 Mathematical Reviews  
The use of tech- nology such as computer algebra systems or symbolic calculators (e.g. the Texas T1-92) reduces the demands of algebraic manipu- lation and allows students to focus in one the essential  ...  Schmitt [Klaus Schmitt], Boundary value problems for quasilinear second order differential equations (79-119); J.  ... 

Page 432 of Mathematical Reviews Vol. , Issue 84b [page]

1984 Mathematical Reviews  
Definitions of standard concepts and precise statements of important results are given in a useful 16-page Glossary /Index. There is a separate Glossary of Symbols. D. H.  ...  Special emphasis on one hand is on free algebras and the step-by-step derivations of the rules of computation which are examples of special ‘productions’ of logic and hence prepare for it; on the other  ... 

Page 5934 of Mathematical Reviews Vol. , Issue 2004h [page]

2004 Mathematical Reviews  
Rozenblyum], Regularisa- tion of secondary characteristic classes and unusual index formulas for operator-valued symbols (419-437).  ...  Baldus, Spectral invariance and submultiplicativity for the algebras of S(M, g)-pseudo-differential operators on man- ifolds (249-280); André Noll, Domain perturbations and capacity in general Hilbert  ... 

Page 830 of Mathematical Reviews Vol. , Issue 95b [page]

1995 Mathematical Reviews  
In Chapter 8 ‘DO of varying ate with the transmission prop- erty are introduced and an algebra of boundary value problems for 35 PARTIAL DIFFERENTIAL EQUATIONS 830 these operators is constructed.  ...  This inequality enables the author to compute the spectral asymptotics for wide classes of degenerate elliptic differential operators in Chapter 10.  ... 

Sigma, tau and Abelian functions of algebraic curves

J C Eilbeck, V Z Enolski, J Gibbons
2010 Journal of Physics A: Mathematical and Theoretical  
We compare and contrast three different methods for the construction of the differential relations satisfied by the fundamental Abelian functions associated with an algebraic curve.  ...  In two of the methods, the use of the tau function, expressed in terms of the sigma function, is central to the construction of differential relations between the Abelian functions.  ...  of the ENIGMA network, and a Fellowship (VZE) in the Hanse-Wissenschaftskolleg in Delmenhorst in 2010, where the final version of the paper was prepared.  ... 
doi:10.1088/1751-8113/43/45/455216 fatcat:i6w4jzvm2jgkvgkzjwqqstzf5m

DAESA—A Matlab Tool for Structural Analysis of Differential-Algebraic Equations

John D. Pryce, Nedialko S. Nedialkov, Guangning Tan
2015 ACM Transactions on Mathematical Software  
DAESA, Differential-Algebraic Equations Structural Analyzer, is a MATLAB tool for structural analysis of differential-algebraic equations (DAEs).  ...  It determines structural index, number of degrees of freedom, constraints, variables to be initialized, and suggests a solution scheme. The structure of a DAE can be readily visualized by this tool.  ...  ACKNOWLEDGMENTS We acknowledge with thanks the support given to JDP by the Leverhulme Trust and the Engineering and Physical Sciences Research Council, both of the UK, and to GT and NSN by the Canadian  ... 
doi:10.1145/2689664 fatcat:lhbddjev65h3lgeubd4bedlp3y

Continuous-Time Enclosures for Uncertain Implicit Differential Equations

Jai Rayjaguru, Mario E. Villanueva, Boris Houska, Benoit Chachuat
2015 IFAC-PapersOnLine  
Even though many systems in engineering are best modeled as implicit differential equations (IDEs) and differential algebraic equations (DAEs), methods for the construction of enclosures for these are  ...  This approach builds on novel high-order inclusion techniques for the solution set of algebraic equations and state-of-the-art techniques for bounding the solution of nonlinear ODEs.  ...  JR thanks EPSRC and the Dept. of Chem. Eng. at ICL for the DTA. MV thanks CONACYT for doctoral scholarship.  ... 
doi:10.1016/j.ifacol.2015.08.163 fatcat:wn6bfceqpfcxtoekktsd2hk2n4

Strongly hyperbolic second order Einstein's evolution equations

Gabriel Nagy, Omar E. Ortiz, Oscar A. Reula
2004 Physical Review D  
It is proved that a pseudo-differential first order reduction of these equations is strongly hyperbolic.  ...  The name refers to the Baumgarte, Shapiro, Shibata, and Nakamura version of the Einstein evolution equations, without introducing the conformal-traceless decomposition but keeping the three connection  ...  This property is used to solve constant coefficient partial differential equations ͑PDEs͒ by transforming the whole equation into an algebraic equation.  ... 
doi:10.1103/physrevd.70.044012 fatcat:e7wis2ewsbc4boto4d7pf7ag7m

Book report

1995 Computers and Mathematics with Applications  
Normal forms of matrices. 9. Applications I. Algebra and geometry. 10. Applications If. Calculus, mechanics, economics. Answers to the exercises. Notation and symbols used. Bibliography. Index.  ...  Solutions to some of the exercises. B. List of symbols. C. Quadrature filter coefficients. Bibliography. Index.  ... 
doi:10.1016/0898-1221(95)90275-9 fatcat:d5oc6j5q7bcgljyo7nkivve7la
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