The Use of Splines and Singular Functions in an Integral Equation Method for Conformai Mapping.
Theoretical and numerical study of a free boundary problem by boundary integral methods
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Theoretical and numerical study of a free boundary problem by boundary integral methods
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Tikhonov regularization with nonnegativity constraint.
Truncated Toeplitz Operators on the Polydisk.
Über die Lösung einer linearen Operatorengleichung mittels der Iterationsmethode
Über die näherungsweise Lösung nichtlinearer Integralgleichungen.
Über die numerische Behandlung VOLTERRAscher Integralgleichungen zweiter Art
Über mehrstufige Iterationsverfahren und die Lösung der Hammersteinschen Gleichung.
Über neue iterative Methoden im Eigenwertproblem eines beschränkten linearen Operators
Une méthode de résolution numérique de certaines équations intégrales de type Hammerstein
Une méthode variationnelle d’éléments finis pour la résolution numérique d’un problème extérieur dans
Universality of the best determined terms method
The properties are studied of the best determined terms method with respect to an a priori decomposition . The universal approximation to the normal solution of the first kind Fredholm integral equation is found.
Wavelet compression of anisotropic integrodifferential operators on sparse tensor product spaces
For a class of anisotropic integrodifferential operators arising as semigroup generators of Markov processes, we present a sparse tensor product wavelet compression scheme for the Galerkin finite element discretization of the corresponding integrodifferential equations u = f on [0,1]n with possibly large n. Under certain conditions on , the scheme is of essentially optimal and dimension independent complexity (h-1| log h |2(n-1)) without corrupting the convergence or smoothness requirements...
Weak Approximation Of Minimal Norm Solutions Of First Kind Equations By Tikhonov's Method.
Асимптотика сходимости дискретно-стохастических численных методов глобальной оценки решения интегрального уравнения второго рода.
Гиперболический крест и сложность приближенного решения интегральных уравнений Фредгольма второго рода с дифференцируемыми ядрами.
К вопросу о численном решении задачи Коши для одного класса линейных интегро-дифференциальных уравнений типа Вольтерра
Квантовая система уровень-зона в сильном глубоко модулированном квазирезонансном поле
О выборе параметра регуляризации при решении некорректных задач