Search results for "Differential algebraic geometry"

showing 3 items of 3 documents

Explicit solutions for second-order operator differential equations with two boundary-value conditions. II

1992

AbstractBoundary-value problems for second-order operator differential equations with two boundary-value conditions are studied for the case where the companion operator is similar to a block-diagonal operator. This case is strictly more general than the one treated in an earlier paper, and it provides explicit closed-form solutions of boundary-value problem in terms of data without increasing the dimension of the problem.

Numerical AnalysisAlgebra and Number TheoryMathematical analysisSemi-elliptic operatorp-LaplacianOrder operatorDiscrete Mathematics and CombinatoricsBoundary value problemGeometry and TopologyC0-semigroupDifferential algebraic geometryTrace operatorNumerical partial differential equationsMathematicsLinear Algebra and its Applications
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Algebraic time-reversal operation

1999

International audience; We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to tetrahedral local molecules through the chain of groups U(5) U(4) K(4) = A(4) ^ S(4) S(4) Td. We determine the general form of the TR operation using a purely algebraic realization, based exclusively on the requirement that the irreducible representations must not be changed under the time inversion symmetry. As a result we can determine the TR behavior of purely algebraic operators.

Pure mathematicsFunction field of an algebraic variety[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]010304 chemical physics03.65.Fd Algebraic methods - 31.15.Hz Group theoryAlgebraic extensionDimension of an algebraic variety010402 general chemistry01 natural sciencesAtomic and Molecular Physics and Optics0104 chemical sciencesAlgebraic cycle[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Algebraic methodsQuantum mechanics0103 physical sciencesAlgebraic surfaceReal algebraic geometryAlgebraic functionGroup theoryDifferential algebraic geometryMathematicsThe European Physical Journal D
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Generalizations of Clausen's formula and algebraic transformations of Calabi-Yau differential equations

2011

AbstractWe provide certain unusual generalizations of Clausen's and Orr's theorems for solutions of fourth-order and fifth-order generalized hypergeometric equations. As an application, we present several examples of algebraic transformations of Calabi–Yau differential equations.

AlgebraPure mathematicsAlgebraic transformationsMonodromyDifferential equationGeneral MathematicsCalabi–Yau manifoldDifferential algebraic geometryGeneralized hypergeometric functionDifferential algebraic equationHypergeometric distributionMathematics
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