On the Hyers–Ulam stability of the linear differential equation
Journal of Mathematical Analysis and Applications, 2011 Dorian Popa, Ioan Rasa
exaly +2 more sources
Time-marching based quantum solvers for time-dependent linear differential equations [PDF]
Quantum, 2022 The time-marching strategy, which propagates the solution from one time step to the next, is a natural strategy for solving time-dependent differential equations on classical computers, as well as for solving the Hamiltonian simulation problem on quantum
Di Fang, Lin Lin, Yu Tong
semanticscholar +1 more source
Wavelets based physics informed neural networks to solve non-linear differential equations
Scientific Reports, 2023 In this study, the applicability of physics informed neural networks using wavelets as an activation function is discussed to solve non-linear differential equations.
Z. Uddin +3 more
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Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers [PDF]
ACM Transactions on Mathematical Software, 2020 In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
D. Gardner +3 more
semanticscholar +1 more source
Hrushovski's algorithm for computing the Galois group of a linear differential equation [PDF]
Advances in Applied Mathematics, 2013 We present a detailed and modified version of Hrushovski's algorithm that determines the Galois group of a linear differential equation. Moreover, we give explicit degree bounds for the defining polynomials of various linear algebraic groups that appear ...
Ruyong Feng
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Regions of stability for a linear differential equation with two rationally dependent delays [PDF]
, 2013 Stability analysis is performed for a linear differential equation with two delays. Geometric arguments show that when the two delays are rationally dependent, then the region of stability increases.
J. Mahaffy, Timothy C. Busken
semanticscholar +1 more source
Computing the Galois group of some parameterized linear differential equation of order two [PDF]
, 2011 We extend Kovacic's algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the ...
T. Dreyfus
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Differential Equations for Algebraic Functions [PDF]
, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions.
Bostan, Alin +4 more
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Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlev\'e VI [PDF]
, 2018 We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative integers with hypergeometric weights and show that they satisfy a system of non-linear difference equations and a non-linear second order differential ...
Filipuk, Galina, Van Assche, Walter
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Tropical differential equations [PDF]
, 2015 Tropical differential equations are introduced and an algorithm is designed which tests solvability of a system of tropical linear differential equations within the complexity polynomial in the size of the system and in its coefficients.
Grigoriev, Dima
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