Autor: D. Bainov

Frontmatter -- CONTENTS -- Preface -- Generating Optimal Runge-Kutta Methods -- Minimization Techniques in Neutral Network Supervised Training -- An Extended Marquardt-Levenberg Method for Function Minimization -- Approximate Iterative Method for a System of Nonlocal Parabolic Functional-Differential Problems -- On a Delay Logistic Equation with Nonlinear Average Growth Rate -- Griffiths' Formalism on the Calculus of Variations -- A Nonlinear Elliptic Equation with Nonlinearity Crossing Eigenvalues -- The Partial Differential Equation Associated to the Generalized Kac-Feynman Integral Equation -- A primal-dual method for discrete lp approximation -- Utilizing Curvature Information in Multi-step Quasi-Newton methods for Optimization -- Utilizing Curvature Information in Multi-Step Quasi-Newton Methods for Optimization -- On Numerical Results for the Generalized Curve Shortening Equations -- Analytic continuation of holomorphic solutions of partial differential equations -- The Condition (S) of Kawai, the Property of Completely Regular Growth and the Estimate of the Micro-Support of the Complex of a Convolution Operator -- One Approach to Exact Solutions of a piecewise Linear Differential Equation -- Numerical integration of irregularly oscillating functions by parameter-dependent compound quadrature formulae -- Initial Value Problem for Abstract Differential Equations of Sobolev Type -- A parallel approach to bivariate splines -- Recent results on Liénard systems -- Extension of Holomorphic Mappings in Infinite Dimension -- Numerical approximations to some nonlinear diffusion equation with strong absorption -- On the Initial Boundary Value Problem for the Linearized MHD Equation -- Modified Gompertz Curve and it's Applications I -- An Experimental Algorithm for Ending Eigenvalues -- On a Degenerate Boundary Value Problem for Second Order Quasilinear Elliptic Operators -- Some Improperly Posed Problems and their Nonlocal Regularization -- Methods for the Computation of Periodic Solutions of Dynamical Systems -- The Computation of Equilibrium Points of Up-to-Three Dimensional Dynamical Systems Using the Topological Degree Theory -- The boundary behavior of a bounded function -- Application of Statistical Moments on Exterior Dirichlet Problem -- Discrete Trigonometric Methods for Boundary Integral Equations in Hòlder-Zygmund Spaces -- On the conditioning and the solution, by means of multigrid methods, of symmetric (block) Toeplitz linear systems -- Differential Game Theory at Control System design for a Manipulator -- Two-Point Formulas in Hermite-Birkhoff Quadratures -- Numerical Direct Methods for Initial Value Problems of Any r-th-Order Ordinary Differential Equations -- A Stochastic Compartmental Model for Dynamic Biological Systems -- Round-Off Error of Numerical Integral by a Finite Chebyshev Series in a Floating-Point Number System -- Floating-Point Number Solutions in a Simple Linear Equation with Multiplication Algorithm -- Multi-Peak System Identification with Gauss-Weierstrass Transform -- Continuation of bounded holomorphic functions from one-codimensional subspace to pseudoconvex domains -- Singularities of surfaces defined by Monge-Ampere equations of hyperbolic type -- De Rham Cohomology of Toroidal Groups and Complex Line Bundles -- Generalized Bisection Methods for Imprecise Problems -- Periodic Orbits and Invariant Surfaces of Nonlinear Mappings -- Expected Behavior of Bisection Based Methods for Counting and Computing All the Roots of a Function -- Approximate Lie Symmetries for Diffusion Equations with Non-linear Perturbations -- On the Stability of a Multistep Method -- Numerical Treatment of Mathematical Models for Infectious Diseases -- Applications of the Beltrami Function in the Physics of Plasmas -- Necessary and sufficient conditions for Fredholmness of irregular singular partial differential operators -- On the Computation of Zeros of Bessel and Bessel-Related Functions -- Linearized Viscoelastic Wav

Frontmatter -- CONTENTS -- Preface -- Generating Optimal Runge-Kutta Methods -- Minimization Techniques in Neutral Network Supervised Training -- An Extended Marquardt-Levenberg Method for Function Minimization -- Approximate Iterative Method for a System of Nonlocal Parabolic Functional-Differential Problems -- On a Delay Logistic Equation with Nonlinear Average Growth Rate -- Griffiths' Formalism on the Calculus of Variations -- A Nonlinear Elliptic Equation with Nonlinearity Crossing Eigenvalues -- The Partial Differential Equation Associated to the Generalized Kac-Feynman Integral Equation -- A primal-dual method for discrete lp approximation -- Utilizing Curvature Information in Multi-step Quasi-Newton methods for Optimization -- Utilizing Curvature Information in Multi-Step Quasi-Newton Methods for Optimization -- On Numerical Results for the Generalized Curve Shortening Equations -- Analytic continuation of holomorphic solutions of partial differential equations -- The Condition (S) of Kawai, the Property of Completely Regular Growth and the Estimate of the Micro-Support of the Complex of a Convolution Operator -- One Approach to Exact Solutions of a piecewise Linear Differential Equation -- Numerical integration of irregularly oscillating functions by parameter-dependent compound quadrature formulae -- Initial Value Problem for Abstract Differential Equations of Sobolev Type -- A parallel approach to bivariate splines -- Recent results on Liénard systems -- Extension of Holomorphic Mappings in Infinite Dimension -- Numerical approximations to some nonlinear diffusion equation with strong absorption -- On the Initial Boundary Value Problem for the Linearized MHD Equation -- Modified Gompertz Curve and it's Applications I -- An Experimental Algorithm for Ending Eigenvalues -- On a Degenerate Boundary Value Problem for Second Order Quasilinear Elliptic Operators -- Some Improperly Posed Problems and their Nonlocal Regularization -- Methods for the Computation of Periodic Solutions of Dynamical Systems -- The Computation of Equilibrium Points of Up-to-Three Dimensional Dynamical Systems Using the Topological Degree Theory -- The boundary behavior of a bounded function -- Application of Statistical Moments on Exterior Dirichlet Problem -- Discrete Trigonometric Methods for Boundary Integral Equations in Hòlder-Zygmund Spaces -- On the conditioning and the solution, by means of multigrid methods, of symmetric (block) Toeplitz linear systems -- Differential Game Theory at Control System design for a Manipulator -- Two-Point Formulas in Hermite-Birkhoff Quadratures -- Numerical Direct Methods for Initial Value Problems of Any r-th-Order Ordinary Differential Equations -- A Stochastic Compartmental Model for Dynamic Biological Systems -- Round-Off Error of Numerical Integral by a Finite Chebyshev Series in a Floating-Point Number System -- Floating-Point Number Solutions in a Simple Linear Equation with Multiplication Algorithm -- Multi-Peak System Identification with Gauss-Weierstrass Transform -- Continuation of bounded holomorphic functions from one-codimensional subspace to pseudoconvex domains -- Singularities of surfaces defined by Monge-Ampere equations of hyperbolic type -- De Rham Cohomology of Toroidal Groups and Complex Line Bundles -- Generalized Bisection Methods for Imprecise Problems -- Periodic Orbits and Invariant Surfaces of Nonlinear Mappings -- Expected Behavior of Bisection Based Methods for Counting and Computing All the Roots of a Function -- Approximate Lie Symmetries for Diffusion Equations with Non-linear Perturbations -- On the Stability of a Multistep Method -- Numerical Treatment of Mathematical Models for Infectious Diseases -- Applications of the Beltrami Function in the Physics of Plasmas -- Necessary and sufficient conditions for Fredholmness of irregular singular partial differential operators -- On the Computation of Zeros of Bessel and Bessel-Related Functions -- Linearized Viscoelastic Wav