引发异常后，如何让应用程序继续运行？

我正在开发一个应用程序，它将移动一些文件并更新数据库中的一些输入。如果找不到文件，将引发我自己的异常。但在那次异常之后，应用程序中断并停止移动文件。如何更改代码以使应用程序在发生异常后继续运行。 它应该打印出文件不存在，然后继续移动下一个文件。 这是我的代码：

import java.sql.;
import java.nio.file.; import java.io.*;

public class SortMainNewFinal { public static void main(String[] args) throws IOException, FileNotSynchronizedException {

//some not relevant code //...

//the relevant code

if(path.contains(timestamp)) { 
  if(filecheck(path,filename)) { 
  data.writeToFile("The File " + filename + " is already in its subordinated folder.");
  }
}else {
   checkDir(path+timestamp,filename); 
   filemove(path,timestamp,filename); 
   data.writeToFile("File "+filename+" has been moved into " + path + timestamp + "/" + 
                    filename);

   String strUpdate = ("update cm_documents set document_path=\""+path+timestamp+"/"
                        +filename + "\" where document_name=\""+filename+"\"");
   data.writeToFile("SQL Statement is: " + strUpdate); 
   update.executeUpdate(strUpdate); 
}
  //Catch SQLException

}

private static void filemove(String path, String timestamp, String filename) throws IOException, FileNotSynchronizedException{ try { Files.move(Paths.get(path+filename), Paths.get(path+timestamp+"/"+filename)); }catch(NoSuchFileException e) { String error= "ERROR: The file " + filename + " has been moved, renamed or deleted and these changes are not synchronized with the database.";

      String file_name="C:/database/logfile.log";
      WriteFile data = new WriteFile(file_name,true);

      data.writeToFile(error); 
      throw new FileNotSynchronizedException(filename); 
    }

} } class FileNotSynchronizedException extends Exception{

FileNotSynchronizedException(String filename) throws IOException{ super("The file" + filename + "has been moved, renamed or deleted and these changes are not synchronized with the database.");

} } 我的问题是，现在应用程序抛出了我的异常，然后中断，但我希望应用程序打印出异常，然后它将继续在我的应用程序顶部使用if语句等。