Results 241 to 250 of about 10,905,906 (292)
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Self-Focusing with Fourth-Order Dispersion
SIAM Journal on Applied Mathematics, 2002We analyze self-focusing and singularity formation in the nonlinear Schrödinger equation (NLS) with high-order dispersion $i \psi_t \pm \Delta^q \psi + |\psi|^{2 \sigma} \psi = 0,$ in the isotropic mixed-dispersion NLS $i \psi_t + \Delta \psi +\epsilon \Delta^2 \psi + |\psi|^{2 \sigma} \psi = 0$, and in nonisotropic mixed-dispersion NLS equations which
Boaz Ilan +2 more
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Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations
Symmetry, 2019 In the paper, we study the oscillation of fourth-order delay differential equations, the present authors used a Riccati transformation and the comparison technique for the fourth order delay differential equation, and that was compared with the ...
Sandra Pinelas +2 more
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Decidability of fourth-order matching
Mathematical Structures in Computer Science, 2000Higher Order Matching consists of solving finite sets of equations of the form u =βηv, where u, v are simply typed terms of λ-calculus, and v is a closed term. Whether this problem is decidable is an open question. In this paper its decidability is proved when the free variables of all equations are of order at most 4 – we actually extend this ...
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Journal of Computational Physics, 1984
High order finite difference approximations (Hodie, OCI, SCHOS, Collatz's Mehrstellenverfahren) have been proposed for various partial differential equations. All reduce to the last for the Poisson equation. The accuracy and computational efficiency of these are compared for a test problem.
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High order finite difference approximations (Hodie, OCI, SCHOS, Collatz's Mehrstellenverfahren) have been proposed for various partial differential equations. All reduce to the last for the Poisson equation. The accuracy and computational efficiency of these are compared for a test problem.
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Nature, 1948
IN a study of the reactions of metal complexes with hydrogen peroxide, in particular the system Fe3+, αα'-dipyridyl which gives the "Katalasestoss" reported by Kuhn and Wassermann1, we found it necessary to obtain data on the equilibrium and kinetics of formation of the red ferrous complex ion, Fe(Dipy)32+, formed according to the reaction : A recent
J. H. BAXENDALE, PHILIP GEORGE
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IN a study of the reactions of metal complexes with hydrogen peroxide, in particular the system Fe3+, αα'-dipyridyl which gives the "Katalasestoss" reported by Kuhn and Wassermann1, we found it necessary to obtain data on the equilibrium and kinetics of formation of the red ferrous complex ion, Fe(Dipy)32+, formed according to the reaction : A recent
J. H. BAXENDALE, PHILIP GEORGE
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2019
Here we will discuss Dirichlet boundary value problems with fourth-order elliptic differential equations of the ...
Mitsuhiro T. Nakao +2 more
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Here we will discuss Dirichlet boundary value problems with fourth-order elliptic differential equations of the ...
Mitsuhiro T. Nakao +2 more
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Communications in Statistics - Simulation and Computation, 1985
Fourth order rotatable designs are discussed. A general k, design moment inequality is given. The variance function for two-factor designs is derived, and plotted for a specific design. A minimum point set requirement for two-factor designs is established, thus enabling one to form an infinity of such designs. Some difficulties in obtaining deLigns for
Norman R. Draper, Agnes M. Herzberg
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Fourth order rotatable designs are discussed. A general k, design moment inequality is given. The variance function for two-factor designs is derived, and plotted for a specific design. A minimum point set requirement for two-factor designs is established, thus enabling one to form an infinity of such designs. Some difficulties in obtaining deLigns for
Norman R. Draper, Agnes M. Herzberg
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A fourth‐order extrapolation method for special nonlinear fourth‐order boundary value problems
Communications in Applied Numerical Methods, 1986AbstractA fourth‐order convergent finite difference method is developed for the numerical solution of the nonlinear fourth‐order boundary value problem y(iv)(x) = f(x,y), a < x < b, y(a) = Ao,y″(a) = Bo, y(b) = A1, y″(b) = B1. The method is based on a second‐order converget method which is used on two grids, fourth‐order convergence being ...
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Quantum theory of fourth-order interference
Physical Review A, 1988The quantum theory of fourth-order interference of light is presented in a general format and compared with classical wave theory. The conditions under which nonclassical phenomena occur are discussed. In particular, the interference between the quantum field and classical field may give rise to a nonclassical effect.
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On mixed methods for fourth-order problems
Computer Methods in Applied Mechanics and Engineering, 1980A mixed finite element method for the problem v + σ2Δ2v = x with different types of boundary conditions is described. The method converges, and it is well suited for the analysis of various evolution problems. The computation of the discrete solution is made by applying a sequence of iterative methods for block matrices: correspondingly to each ...
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