# Equations

Xem 1-20 trên 1533 kết quả Equations
• ### Differential Equations For Dummies

Steven Holzner is an award-winning author of science, math, and technical books. He got his training in differential equations at MIT and at Cornell University, where he got his PhD. He has been on the faculty at both MIT and Cornell University, and has written such bestsellers as Physics For Dummies and Physics Workbook For Dummies.

• ### Numerical Methods for Ordinary Differential Equations Butcher Tableau

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• ### Partial Differential Equation Toolbox

This section attempts to answer some of the questions you might formulate when you turn the first page: What does this toolbox do? Can I use it? What problems can I solve?, etc. What Does this Toolbox Do? The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time. The equations are discretized by the Finite Element Method (FEM). The objectives of the PDE Toolbox are to provide you with tools that: • Define a PDE problem, i.e.

• ### Differential Equations

Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations. I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.

• ### Numerical Methods for Ordinary Diﬀerential Equations

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods. Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding.

• ### AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, with particular emphasis on developing an appreciation of underlying mathematical theory. Beginning with basic deﬁnitions, properties and derivations of some fundamental equations of mathematical physics from basic principles, the book studies ﬁrst-order equat

• ### Using the Lagrangian to obtain Equations of Motion

In Section 1.5 of the textbook, Zak introduces the Lagrangian L = K − U , which is the diﬀerence between the kinetic and potential energy of the system. He then proceeds to obtain the Lagrange equations of motion in Cartesian coordinates for a point mass subject to conservative forces, namely, d dt ∂L ∂ xi ˙ − ∂L = 0 i = 1, 2, 3. ∂xi (1)

• ### Đề tài " Sharp local wellposedness results for the nonlinear wave equation "

This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension. 1. Introduction 1.1. The results. We consider in this paper second order, nonlinear hyperbolic equations of the form (1.1) gij (u) ∂i ∂j u = q ij (u) ∂i u ∂j u on R × Rn , with Cauchy data prescribed at time 0, (1.2) u(0, x) = u0 (x) , ∂0 u(0, x) = u1 (x) .

• ### Book: An introduction to partial differential equations

This text is intended to provide an introduction to the standard methods that are used for the solution of first-order partial differential equations. Some of these ideas are likely to be introduced, probably in a course on mathematical methods during the second year of a degree programme with, perhaps, more detail in a third year. The material has been written to provide a general – but broad – introduction to the relevant ideas, and not as a text closely linked to a specific module or course of study. Indeed, the intention is to present the material so that it can be used as an...

• ### Real Functions in One Variable Examples of Simple Differential Equations II Calculus Analyse 1c-5

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• ### Boundary Value Problems, Sixth Edition: and Partial Differential Equations

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• ### Second-order ordinary differential equations

n mathematics, an ordinary differential equation (abbreviated ODE) is an equation containing a function of one independent variable and its derivatives. There are many general forms an ODE can take, and these are classified in practice (see below).[1][2] The derivatives are ordinary because partial derivatives only apply to functions of many independent variables (see Partial differential equation).

• ### Examples of Applications of The Power Series Method By Solution of Differential Equations with Polynomial Coefﬁcients Calculus 3c-4

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• ### Examples of Differential Equations of Second Order with Variable Coefﬁcients, in particular Euler’s Differential Equation and Applications of Cayley-Hamilton’s Theorem Calculus 4c-4

Here follows the continuation of a collection of examples from Calculus 4c-1, Systems of differential systems. The reader is also referred to Calculus 4b and to Complex Functions. We focus in particular on the linear differential equations of second order of variable coefficients, although the amount of examples is far from exhausting. It should no longer be necessary rigourously to use the ADIC-model, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself....

• ### Direct and Inverse Methods in Nonlinear Evolution Equations

This book contains the lectures given at the Centro Internazionale Matematico Estivo (CIME), during the session Direct and Inverse Method in Non Linear Evolution Equations, held at Cetraro in September 1999. The lecturers were R. Conte of the Service de physique de l’´etat condens´e, CEA Saclay, F. Magri of the University of Milan, M. Musette of Dienst Theoretical Naturalness, Verite Universities Brussels, J. Satsuma of the Graduate School of Mathematical Sciences, University of Tokyo and P. Winternitz of the Centre de recherches math´ematiques, Universit´e de Montr´eal....

• ### Bài giảng Equations of state: Peng-Robinson Soave-Redlich-Kwong

Bài giảng "Equations of state: Peng-Robinson Soave-Redlich-Kwong" hướng dẫn cụ thể chi tiết các bước sử dụng EOS, cách đọc kết quả tính toán trong Workbook, sử dụng Case Study Utility. Hy vọng nội dung bài giảng là tài liệu tham khảo hữu ích cho các bạn.

• ### Examples of Systems of Differential Equations and Applications from Physics and the Technical Sciences Calculus 4c-3

Here we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences. The reader is also referred to Calculus 4b as well as to Calculus 4c-2. It should no longer be necessary rigourously to use the ADIC-model, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself. Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the first edition. It is my hope that the reader will show some understanding of my situation....

• ### Linear Algebra Examples c-4 Quadratic Equations in Two or Three Variables

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• ### Transport Equations and Multi-D Hyperbolic Conservation Laws

This book collects the lecture notes of two courses and one mini-course held in a winter school in Bologna in January 2005. The aim of this school was to popularize techniques of geometric measure theory among researchers and PhD students in hyperbolic differential equations. Though initially developed in the context of the calculus of variations, many of these techniques have proved to be quite powerful for the treatment of some hyperbolic problems.