Results 1 to 10 of about 1,407,788 (320)
Efficient quantum algorithm for dissipative nonlinear differential equations. [PDF]
Proc Natl Acad Sci U S A, 2021 Significance Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity exponential in the evolution time, we give the ...
Liu JP +5 more
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High accuracy least-squares solutions of nonlinear differential equations. [PDF]
J Comput Appl Math, 2019 This study shows how to obtain least-squares solutions to initial and boundary value problems of ordinary nonlinear differential equations. The proposed method begins using an approximate solution obtained by any existing integrator.
Mortari D, Johnston H, Smith L.
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Nonlinear Integro-Differential Equations
Journal of Mathematical Extension, 2010 . In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation.
S. Mahdavi∗, M. Tavassoli Kajani
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Improved quantum algorithms for linear and nonlinear differential equations [PDF]
Quantum, 2022 We present substantially generalized and improved quantum algorithms over prior work for inhomogeneous linear and nonlinear ordinary differential equations (ODE).
H. Krovi
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Solving nonlinear differential equations with differentiable quantum circuits [PDF]
Physical Review A, 2020 We propose a quantum algorithm to solve systems of nonlinear differential equations. Using a quantum feature map encoding, we define functions as expectation values of parametrized quantum circuits.
O. Kyriienko, Annie E. Paine, V. Elfving
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Axioms, 2023 Transformations are much used to connect complicated nonlinear differential equations to simple equations with known exact solutions. Two examples of this are the Hopf–Cole transformation and the simple equations method.
Nikolay K. Vitanov
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Demonstratio Mathematica, 2021 In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine +2 more
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations
Mathematics, 2023 Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
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Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method
Complexity, 2021 By means of the averaging method of the first order, we introduce the maximum number of limit cycles which can be bifurcated from the periodic orbits of a Hamiltonian system.
Amor Menaceur +4 more
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Hidden physics models: Machine learning of nonlinear partial differential equations [PDF]
Journal of Computational Physics, 2017 While there is currently a lot of enthusiasm about “big data”, useful data is usually “small” and expensive to acquire. In this paper, we present a new paradigm of learning partial differential equations from small data.
M. Raissi, G. Karniadakis
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