1-20 of 5816
Journal Article
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Hybrid accelerated double step length approach for convex constrained nonlinear monotone equations with applications Get access
IMA Journal of Applied Mathematics, hxaf009, https://doi.org/10.1093/imamat/hxaf009
Published: 25 April 2025
Journal Article
ACCEPTED MANUSCRIPT
Stochastic generalized Kolmogorov systems with small diffusion: II. Explicit approximations for periodic solutions in distribution Get access
IMA Journal of Applied Mathematics, hxaf008, https://doi.org/10.1093/imamat/hxaf008
Published: 16 April 2025
Journal Article
ACCEPTED MANUSCRIPT
Piecewise linear constitutive relations for stretch-limited elastic strings Get access
IMA Journal of Applied Mathematics, hxaf010, https://doi.org/10.1093/imamat/hxaf010
Published: 14 April 2025
Journal Article
ACCEPTED MANUSCRIPT
The Role of Higher-Order Viscous and Interfacial Effects on the Onset of Surfactant-Covered Faraday Waves Get access
IMA Journal of Applied Mathematics, hxaf006, https://doi.org/10.1093/imamat/hxaf006
Published: 10 April 2025
Journal Article
A novel approach to modelling non-local surface waves: refinements in boundary and interface conditions Get access
IMA Journal of Applied Mathematics, hxaf007, https://doi.org/10.1093/imamat/hxaf007
Published: 29 March 2025
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Dispersion curves for non-local elastic Rayleigh waves in an isotropic laye... Get access
Published: 29 March 2025
Dispersion curves for non-local elastic Rayleigh waves in an isotropic layered medium.
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Dispersion curves for non-local elastic Love waves in an isotropic layered ... Get access
Published: 29 March 2025
Dispersion curves for non-local elastic Love waves in an isotropic layered medium.
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Phase portraits for the second-order equation ( 10 ). Since we found numeri... Get access
Published: 21 March 2025
Phase portraits for the second-order equation ( 10 ). Since we found numerically that , we use for the case (left), and for (right). In both panels, the green vertical lines indicate the singularities at , and the black curves are the level curves for .
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Complex plane for eigenvalues of the spectral stability problem ( 1... Get access
Published: 21 March 2025
Complex plane for eigenvalues of the spectral stability problem ( 12 ), for values near the first eigenvalue crossing. As increases, the non-zero eigenvalue pair moves towards the origin, crossing through onto the real axis around .
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The same as Fig. 8 but for the transition in Fig. 7 . Get access
Published: 21 March 2025
The same as Fig. 8 but for the transition in Fig. 7 .
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Phase portrait for the second-order equation ( 10 ) with . Two homoclini... Get access
Published: 21 March 2025
Phase portrait for the second-order equation ( 10 ) with . Two homoclinic orbits correspond to the smooth profiles with values in .
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Bright soliton profiles for various values of the frequency . Get access
Published: 21 March 2025
Bright soliton profiles for various values of the frequency .
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Top: square of the bifurcating unstable eigenvalue for the spectral sta... Get access
Published: 21 March 2025
Top: square of the bifurcating unstable eigenvalue for the spectral stability problem ( 12 ). Bottom: the map . In the top panel, the dashed horizontal line is drawn at and the solid green curve is the function , which is the boundary of the continuous spectrum. In both panels, the das
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Initial and final frequencies shown in the plane for the numerical simu... Get access
Published: 21 March 2025
Initial and final frequencies shown in the plane for the numerical simulations. The point represents the bright soliton with the peaked profile. The dashed line indicates the unstable branch, while the other two branches are stable.
Journal Article
Stability of smooth solitary waves under intensity-dependent dispersion Get access
IMA Journal of Applied Mathematics, hxaf005, https://doi.org/10.1093/imamat/hxaf005
Published: 21 March 2025
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The function vs. . The unique zero of for positive occurs at... Get access
Published: 21 March 2025
The function vs. . The unique zero of for positive occurs at .
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Left: the initial and final solution profiles of the computations for the t... Get access
Published: 21 March 2025
Left: the initial and final solution profiles of the computations for the transition in Fig. 7 together with the final soliton profile. Right: oscillations near the stable profile for the final segment of numerical computations.
Journal Article
Data approximation by neural nets for the MRE inverse problem in the frequency and time domains
IMA Journal of Applied Mathematics, hxaf004, https://doi.org/10.1093/imamat/hxaf004
Published: 18 February 2025
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Plot of calculated (red solid line) obtained using the frequency domain...
Published: 18 February 2025
Plot of calculated (red solid line) obtained using the frequency domain NN method with a stacked system of submatrices with when with no added noise (top) and added noise-level (bottom). The exact value is shown as a black dotted line and the blue dashed line shows calcul
