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[BOK][B] Volterra integral equations: an introduction to theory and applications
H Brunner - 2017 - books.google.com
This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra
integral equations (VIEs), ranging from Volterra's fundamental contributions and the …
integral equations (VIEs), ranging from Volterra's fundamental contributions and the …
An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data
In this paper, we shall review an approach by which we can seek higher order time
discretisation schemes for solving time fractional partial differential equations with …
discretisation schemes for solving time fractional partial differential equations with …
Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
Starting with the asymptotic expansion of the error equation of the shifted Grünwald–
Letnikov formula, we derive a new modified weighted shifted Grünwald–Letnikov (WSGL) …
Letnikov formula, we derive a new modified weighted shifted Grünwald–Letnikov (WSGL) …
[BOK][B] Trefftz and collocation methods
Page 1 Trefftz and Collocation Methods ZC. Li, TT. Lu, WITPRESS HY. Hu & A. HD. Cheng
Page 2 TrefftzTrefftzTrefftzTrefftzTrefftz andandandandand …
Page 2 TrefftzTrefftzTrefftzTrefftzTrefftz andandandandand …
An - Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
We present an hp version of the continuous Petrov--Galerkin (CPG) finite element method
for linear Volterra integro-differential equations with smooth and nonsmooth kernels. We …
for linear Volterra integro-differential equations with smooth and nonsmooth kernels. We …
Trefftz, collocation, and other boundary methods—a comparison
ZC Li, TT Lu, HT Huang… - Numerical Methods for …, 2007 - Wiley Online Library
In this article we survey the Trefftz method (TM), the collocation method (CM), and the
collocation Trefftz method (CTM). We also review the coupling techniques for the interzonal …
collocation Trefftz method (CTM). We also review the coupling techniques for the interzonal …
Nonpolynomial collocation approximation of solutions to fractional differential equations
We propose a non-polynomial collocation method for solving fractional differential
equations. The construction of such a scheme is based on the classical equivalence …
equations. The construction of such a scheme is based on the classical equivalence …