Results 21 to 30 of about 238 (137)
Computing Gröbner and Involutive Bases for Linear Systems of Difference Equations
EPJ Web of Conferences, 2018 The computation of involutive bases and Gröbner bases for linear systems of difference equations is solved and its importance for physical and mathematical problems is discussed.
Yanovich Denis
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A Computer Algebra Approach to Linear ODE Systems with Parametric Coefficients [PDF]
Control and Optimization in Applied MathematicsThis paper analyzes systems of linear first-order ordinary differential equations (ODEs) with parametric coefficients, a class of problems that arises in control theory, optimization, and applied mathematics.
Mahdi Dehghani Darmian
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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Canonical bases for subalgebras of factor algebras [PDF]
Computer Science Journal of Moldova, 1999 We introduce canonical bases for subalgebras of quotients of the commutative and non-commutative polynomial ring. The usual theory for Grobner bases and its counterpart for subalgebras of polynomial rings, also called SAGBI bases, are combined to obtain ...
P. Nordbeck
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Magnetic Resonance in Medicine, Volume 95, Issue 6, Page 3187-3198, June 2026.Purpose Provide the theoretical foundation and the first practical demonstration of spatiotemporal encoding (SPEN) using additional nonlinear gradient hardware. Methods The quadratic phase profile can be generated either by a chirped‐RF pulse combined with a constant gradient or, directly, by a quadratic gradient pulse.
Andreas Holl +8 more
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On The (De)Homogenization of Sagbi-Gröbner Bases for Modules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization.
Kanwal Nazish, Khan Junaid Alam
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
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Simple Verification of Completeness of Two Addition Formulas on Twisted Edwards Curves [PDF]
International Journal of Electronics and Telecommunications, 2020 Daniel Bernstein and Tanja Lange [9] proved that two given addition formulas on twisted Edwards elliptic curves ax2 +y2 = 1+dxy are complete (i.e. the sum of any two points on a curve can be computed using one of these formulas).
Robert Dryło, Tomasz Kijko
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Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
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Primitivity testing in free group algebras via duality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
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