Search Results - Ordinary differential equations General theory Geometric methods in differential equations msc

Geometrical Methods in the Theory of Ordinary Differential Equations by Conley, Charles

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On 3-stage geometric explicit Runge–Kutta method for singular autonomous initial value problems in ordinary differential equations by Akanbi, Moses Adebowale

“…’ series incremental function. In this work, a 3-stage geometric explicit Runge–Kutta method for solving autonomous initial value problems in ordinary differential equations is derived and implemented…”
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Geometric theory of differential systems: Linearization criterion for systems of second-order ordinary differential equations with a 4-dimensional solvable symmetry group of the Lie–Petrov type VI 1 by Aminova, A. V., Aminov, N. A.-M

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N. V. Stepanov and His Geometric Theory of Ordinary Differential Equations by Banaru, G. A.

“…We review the main results of the geometric theory of ordinary differential equations obtained by the prominent Russian geometer N. V. Stepanov (1926–1991…”
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Geometric theory of differential systems: Linearization criterion for systems of second-order ordinary differential equations with a 4-dimensional solvable symmetry group of the Lie–Petrov type VI1 by Aminova, A. V., Aminov, N. A.-M

“…In the framework of projective-geometric theory of systems of differential equations developed by the authors, this paper studies the group properties of systems of two…”
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Some applications of Cartan's method of equivalence to the geometric study of ordinary and partial differential equations by Fels, Mark Eric

“…) second order ordinary differential equations. These invariants allow us prove that there exist a unique equivalence class of second order equations which admit a Lie point symmetry group of maximal dimension, the dimension being $n\sp2 + 4n + 3…”
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Application of Differential-Geometric Methods of Control Theory to the Theory of Partial Differential Equations. IV by Elkin, V. I.

“…We consider the symmetries of partial differential equations based on the use of differential-geometric and algebraic methods of the theory of dynamical control…”
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Application of Differential-Geometric Methods of Control Theory to the Theory of Partial Differential Equations. I by Elkin, V. I.

“…We consider the application of differential-geometric and algebraic methods of the theory of dynamical control systems to the theory of partial differential…”
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Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III by Elkin, V. I.

“…We consider the symmetries of partial differential equations based on the use of differential-geometric and algebraic methods of the theory of dynamical control…”
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Application of Differential-Geometric Methods of Control Theory in the Theory of Partial Differential Equations. II by Elkin, V. I.

“…We consider the question of using differential-geometric and algebraic methods of the theory of dynamical control systems in the theory of partial differential…”
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Recent trends in formal and analytic solutions of diff. equations : Virtual Conference Formal and Analytic Solutions of Diff. Equations, June 28-July 2, 2021, University of Alcalá, Alcalá de Henares, Spain by Filipuk, Galina, Lastra, Alberto, Michalik, Sławomir, Virtual Conference Formal and Analytic Solutions of Diff. Equations

“… The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q…”
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Application of Differential-Geometric Methods of Control Theoryto the Theory of Partial Differential Equations. IV by Elkin, V. I

“…We consider the symmetries of partial differential equations based on the use of differential-geometric and algebraic methods of the theory of dynamical control…”
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Applying Differential-Geometric Control Theory Methods in theTheory of PartialDifferential Equations. III by Elkin, V. I

“…We consider the symmetries of partial differential equations based on the use of differential-geometric and algebraic methods of the theory of dynamical control…”
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A UNIQUENESS THEOREM IN THE INVERSE SPECTRAL THEORY OF A CERTAIN HIGHER-ORDER ORDINARY DIFFERENTIAL EQUATION USING PALEY–WIENER METHODS by ANDERSSON, E.

“…The paper examines a higher-order ordinary differential equation of the form $\mathcal{P}[u]\,{:=} \sum_{j,k=0}^{m}D^{j}a_{jk}D^{k}u \,{=}\, \lambda{u}, x\in[0,b)$, where $D\,{=}\,i({d}/{dx})$, and where the…”
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Parallel general linear methods for stiff ordinary differential and differential algebraic equations by Butcher, J.C., Chartier, P.

“… The aim of this paper is to make some preliminary comparisons of two recently introduced approaches to the construction of L-stable parallel general linear methods, that differ essentially…”
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General linear methods for ordinary differential equations by Butcher, John

“…General linear methods were introduced as the natural generalizations of the classical Runge…”
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Nonlinear algebraic differential systems admitting reduction to nondegenerate systems of ordinary differential equations: theory and numerical methods of solution by Boyarintsev, Yu. E.

“… Conditions are specified under which such a system reduces to a nondegenerate system of ordinary differential equations (ODEs…”
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Revision of the theory of symmetric one-step methods for ordinary differential equations by Kulikov, G Yu

“…In this paper we develop a new theory of adjoint and symmetric methods in the class of general implicit one-step fixedstepsize methods…”
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Theory and applications of the collocation method with splines for ordinary and partial differential equations by Khalifa, Ahmed Kamel Ahmed

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Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations by DeVille, R.E. Lee, Harkin, Anthony, Holzer, Matt, Josić, Krešimir, Kaper, Tasso J.

“…–Lindstedt method, the method of averaging, and others. In this article, we show how the RG method may be used to generate normal forms for large classes of ordinary differential equations…”
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