Periodic Integral and Pseudodifferential Equations with Numerical Approximation

By J. Saranen, Gennadi Vainikko. 2001

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Global quantization of pseudo-differential operators on compact Lie groups, SU(2), 3-sphere, and homogeneous spaces (2008, methodology): “3), then we have OpSm(Tn × Zn)=Ψm(Tn), see, for example [1, 13, 16, 17, 37], with different proofs, as well as numerical application of this description in, for example, [22, 23].”
Quantization of Pseudo-differential Operators on the Torus (2008, background): “The case of n = 1 and (ρ, δ) = (1, 0) was considered in [32] and [25].”
Cordial Volterra Integral Equations 2 (2010, methodology): “14) with an accuracy O(n−r ), r ≥ m, by iteration methods such as GMRES or conjugate gradients costs O(n2 logn) flops, see [10, 14].”
Numerical solution method for the dbar-equation in the plane (2004, methodology): “Details of this method for the Lippmann–Schwinger equation can be found in [33,38].”
Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class (2006, unknown): “[25, 36].”
Time quasi-periodic gravity water waves in finite depth (2017, background): “They can also be directly expressed through Fourier series, for which we refer to [58].”