Results 31 to 40 of about 2,824 (289)
Nonperturbative Analytical Diagonalization of Hamiltonians with Application to Circuit QED
PRX Quantum, 2022 Deriving effective Hamiltonian models plays an essential role in quantum theory, with particular emphasis in recent years on control and engineering problems.
Boxi Li, Tommaso Calarco, Felix Motzoi
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Mathematical Modelling and Analysis, 2018 We discuss here the problem of solving the system of two nonlinear algebraic equations determining the relative equilibrium positions in the planar circular restricted four-body problem formulated on the basis of the Euler collinear solution of the three-
Alexander N. Prokopenya
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Analyzing group based matrix multiplication algorithms
, 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC 2009 (2009.
Irene Polo-Blanco +11 more
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Journal of Applied Mathematics, 2013 This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin +3 more
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MathematicsThe (2+1)-dimensional Boussinesq equation is a fundamental model in nonlinear wave theory, governing shallow-water wave propagation, coastal dynamics in ocean engineering, and long waves in geophysical fluid systems such as atmospheric and oceanic ...
Jing-Bin Liang +3 more
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NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials [PDF]
Optimization Methods and Software, 2011 NCSOStools is a Matlab toolbox for • symbolic computation with polynomials in noncommuting NC variables; • constructing and solving sum of Hermitian squares with commutators programs for polynomials in NC variables. It can be used in combination with semidefinite programming software, such as SeDuMi, SDPA or SDPT3, to solve these ...
Kristijan Cafuta, Igor Klep, Janez Povh
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Symbolic Algebraic Computation as a Way for Modeling Kinematical Tasks Themselves [PDF]
, 2003 The paper introduces the symbolic algebraic computational capability of Surface Constructor, a software tool for gear investigation. Use of symbolic expressions in the kinematical model gives a higher freedom in constructing and modifying the model ...
Dudás, László
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A Hyper-Dual Number Approach to Higher-Order Derivative Computation
AxiomsThis paper develops a theoretical framework for the computation of higher-order derivatives based on the algebra of hyper-dual numbers. Extending the classical dual number system, hyper-dual numbers provide a natural and rigorous mechanism for encoding ...
Ji Eun Kim
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New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations
Journal of Applied Mathematics, 2013 A general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method, and the extended auxiliary function method with computerized symbolic computation is proposed to construct ...
Baojian Hong, Dianchen Lu
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