Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"Invariant solutions"”.
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Symbolic software for symmetry reduction and computation of invariant solutions of differential equations
… science. Therefore, the task of obtaining exact solutions of differential equations is of primary importance, and attracts high attention. The main purpose of the current thesis is the development of a Maple-based, symbolic software package for symmetry reduction of differential equations and …
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Application of Lie symmetries to Solving Partial Differential Equations associated with the Mathematics of Finance
… very useful information. That is, the explicit solutions of the financial market models can be used as benchmarks for testing numerical methods of physical experiments. This fact is evidenced by the work of economists Black and Scholes, the Black-Scholes model, whereby they deduced the financial …
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Coherent structures in incompressible fluid flows
… transition to turbulence: numerically-extracted solutions of the Navier-Stokes equations (the "exact'') and localized/patterned turbulent spots that are not themselves solutions of the Navier-Stokes equation but are nonetheless pervasive during the transition (the "inexact''). High-dimensional …
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Exact coherent structures in spatiotemporal chaos: From qualitative description to quantitative predictions
… systems that the state space, the space of solutions to the governing dynamical equations, is shaped by the invariant sets such as equilibria, periodic orbits, and invariant tori. State space of partial differential equations is infinite dimensional, nevertheless, recent computational …
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Discrete symmetry analysis of partial differential equations for bond pricing
… bifurcation theory; 2. construction of invariant solutions; 3. simplification of numerical schemes. 4. used in put-call parity relationship (see application in finance); 5. used in put-call symmetry relationship (see application in finance)
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Effective development of cylindrical finite-difference time-domain for electromagnetics applications
… their PML performance analysis to rotationally invariant solution modes (zeroth mode). This is a critical omission as general wave solutions will exhibit a wide range of rotational modes that increasingly intensify and extend the reach of wave evanescence around the modeled structure’s axis of …